[1]. suriano, f. j., kwang tzu, y. and donlon, j. a...

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200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon, J. A., (1965). Laminar free convection along a vertical plate at extremely small Grashof numbers, Int. J. Heat Mass Transfer, Vol. 8, No. 5. [2]. Suriano, F. J. and Kwang – Tzu, Y., (1968). Laminar free convection about vertical and horizontal plates at small and moderate Grashof numbers, Int. J. Heat Mass Transfer, Vol. 11, No. 3. [3]. Singh, A. K., (1988). Natural convection in unsteady Couette Motion, Def. Sci. J., Vol. 38, No. 1. [4]. Jha, B. K., (2001). Natural convection in unsteady MHD Couette flow, Heat and Mass Transfer, Vol. 37. [5]. Rossow, V. J., (1957). On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field. National Advisory Committee for Aeronautics, Technical Note 3971. [6]. Singh, A. K., Gholami, H. R. and Soundalgekar, V. M., (1996). Transient free convection flow between two vertical parallel plates, Heat and Mass Transfer, Vol. 31. [7]. Jha, B. K. and Apere, C. A., (2011). Magnetohydrodynamic free convective Couette flow with suction and injection, Journal of Heat Transfer, Vol. 133, No. 9. [8]. Vidyanidhi, V. and Nigam, S. D., (1967). J. Math. Phys. Sci., Vol. 1, No. 85. [9]. Verma, P.D. S. and Sehgal, M. M., (2004). Couette flow of micropolar fluids, Int. J. Eng. Sci., Vol. 42, pp. 65 – 78.

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Page 1: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

200

[1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon, J. A., (1965).

Laminar free convection along a vertical plate at extremely small

Grashof numbers, Int. J. Heat Mass Transfer, Vol. 8, No. 5.

[2]. Suriano, F. J. and Kwang – Tzu, Y., (1968). Laminar free

convection about vertical and horizontal plates at small and

moderate Grashof numbers, Int. J. Heat Mass Transfer, Vol. 11,

No. 3.

[3]. Singh, A. K., (1988). Natural convection in unsteady Couette

Motion, Def. Sci. J., Vol. 38, No. 1.

[4]. Jha, B. K., (2001). Natural convection in unsteady MHD Couette

flow, Heat and Mass Transfer, Vol. 37.

[5]. Rossow, V. J., (1957). On flow of electrically conducting fluids

over a flat plate in the presence of a transverse magnetic field.

National Advisory Committee for Aeronautics, Technical Note 3971.

[6]. Singh, A. K., Gholami, H. R. and Soundalgekar, V. M., (1996).

Transient free convection flow between two vertical parallel plates,

Heat and Mass Transfer, Vol. 31.

[7]. Jha, B. K. and Apere, C. A., (2011). Magnetohydrodynamic free

convective Couette flow with suction and injection, Journal of

Heat Transfer, Vol. 133, No. 9.

[8]. Vidyanidhi, V. and Nigam, S. D., (1967). J. Math. Phys. Sci.,

Vol. 1, No. 85.

[9]. Verma, P.D. S. and Sehgal, M. M., (2004). Couette flow of

micropolar fluids, Int. J. Eng. Sci., Vol. 42, pp. 65 – 78.

Page 2: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

201

[10]. Liu, D. C. S. and Chen, C. F., (1973). Numerical experiments on

time – dependent rotational Couette flow, J. Fluid Mech., Vol. 59,

pp. 77 – 95.

[11]. Jana, R. N. and Datta, N., (1977). Couette flow and heat transfer

in a rotating system, Acta Mech., Vol. 26, pp. 301 – 306.

[12]. Seth, G.S., Jana, R.N. and Maiti, M.K., (1982). Unsteady

hydromagnetic Couette flow in a rotating system, Int. J. Eng. Sci.,

Vol. 20, pp. 989 – 999.

[13]. Mandal, G. and Mandal, K.K., (1983). Effect of Hall current on

MHD Couette flow between thick arbitrarily conducting plates in a

rotating system, J. Physical Soc. Japan, Vol. 52,

pp. 470 – 477.

[14]. Kythe, P.K. and Puri, P., (1989). Exact solution of unsteady

Couette flow of a dusty gas, Int. Proceedings of PACAM, Rio de

Janeiro, Brazil, pp. 348 – 351.

[15]. Singh, A.K., Sacheti, N. C. and Chandran, P., (1994). Transient

effects in magnetohydrodynamic Couette flow with rotation in

accelerated motion, Int. J. Eng. Sci., Vol. 32, pp. 133 – 139.

[16]. Kearsley, A.J., (1994). A steady state model of Couette flow with

viscous heating, Int. J. Eng. Sci., Vol. 32, pp. 179 – 186.

[17]. Nagata, M., (1998). Tertiary solutions and their stability in

rotating plane Couette flow, J. Fluid Mech., Vol. 358,

pp. 357 – 378.

Page 3: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

202

[18]. Ghosh, S.K., (2002). Effect of Hall current on MHD Couette flow in

a rotating system with arbitrary magnetic field, Czech. J. Phys.,

Vol. 52, pp. 51 – 63.

[19]. Hayat, T., Nadeem, S. and Asghar, S., (2004). Hydromagnetic

Couette flow of an Oldroyd – B fluid in a rotating system, Int. J.

Eng. Sci., Vol. 42, pp. 65 – 78.

[20]. Choi, C.K., Chung, T. J. and Kim, M.C., (2004). Buoyancy effects

in plane Couette flow heated uniformly from below with constant

heat flux, Int. J. Heat Mass Transfer, Vol. 47, pp. 2629 – 2636.

[21]. Cogley, A. C., Vincenti, W. C. and Gilles, S. E., (1968). Differential

approximation for radiation transfer in a non – gray gas near

equilibrium, American Institute of Aeronautics and Astronautics

Journal, Vol. 6, pp. 551 – 555.

[22]. Mansour, M. A., (1990). Radiative and free-convection effects on

the oscillatory flow past a vertical plate, Astrophysics and Space

Science, Vol. 166, No. 2, pp. 269 – 275.

[23]. Hossain, M. A. and Takhar, H. S., (1996). Radiation effect on

mixed convection along a vertical plate with uniform surface

temperature, Heat and Mass Transfer, Vol. 31, No. 4,

pp. 243 – 248.

[24]. Hossain, M. A., Alim, M. A. and Rees, D. A. S., (1999). The effect

of radiation on free convection from a porous vertical plate,

International Journal of Heat and Mass Transfer, Vol. 42, No. 1,

pp. 181 – 191.

Page 4: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

203

[25]. Seddeek, M. A. (2002). Effects of radiation and variable viscosity

on a MHD free convection flow past a semi – infinite flat plate with

an aligned magnetic field in the case of unsteady flow,

International Journal of Heat and Mass Transfer, Vol. 45, No. 4,

pp. 931 – 935.

[26]. Muthucumaraswamy, R. and Senthil, G. K., (2004). Studied the

effect of heat and mass transfer on moving vertical plate in the

presence of thermal radiation, Journal of Theoretical and Applied

Mechanics, Vol. 31, No. 1, pp. 35 – 46.

[27]. Pal, D., (2009). Heat and mass transfer in stagnation – point flow

towards a stretching surface in the presence of buoyancy force

and thermal radiation, Meccanica, Vol. 44, No. 2, pp. 145 – 158.

[28]. Aydin, O. and Kaya, A., (2008). Radiation effect on MHD mixed

convection flow about a permeable vertical plate, Heat and Mass

Transfer, Vol. 45, No. 2, pp. 239 – 246.

[29]. Mohamed, R. A., (2009). Double – diffusive convection – radiation

interaction on unsteady MHD flow over a vertical moving porous

plate with heat generation and Soret effects, Applied Mathematical

Sciences, Vol. 3, No. 13 – 16, pp. 629 – 651.

[30]. Chauhan, D. S. and Rastogi, P. (2010). Radiation effects on

natural convection MHD flow in a rotating vertical porous channel

partially filled with a porous medium, Applied Mathematical

Sciences, Vol. 4, No. 13 – 16, pp. 643 – 655.

[31]. Ibrahim, S. Y. and Makinde, O. D., (2011). Radiation effect on

chemically reacting magnetohydrodynamics (MHD) boundary

Page 5: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

204

layer flow of heat and mass transfer through a porous vertical flat

plate, International Journal of Physical Sciences, Vol. 6, No. 6,

pp. 1508 – 1516.

[32]. Pal, D. and Mondal, H., (2011). The influence of thermal radiation

on hydromagnetic Darcy – forchheimer mixed convection flow past

a stretching sheet embedded in a porous medium, Meccanica,

Vol. 46, Vo. 4, pp. 739 – 753.

[33]. Palani, G. and Kim, K. Y., (2012). Influence of magnetic field and

thermal radiation by natural convection past vertical cone

subjected to variable surface heat flux, Applied Mathematics and

Mechanics (English Edition), Vol. 33, pp. 605 – 620.

[34]. Mahmoud, M. A. A. and Waheed, S. E., (2012). Variable fluid

properties and thermal radiation effects on flow and heat transfer

in micropolar fluid film past moving permeable infinite flat plate

with slip velocity, Applied Mathematics and Mechanics (English

Edition), Vol. 33, pp. 663 – 678.

[35]. Rajput, U. S. and Sahu, P. K., (2012). Effects of thermal radiation

and heat source/sink on the natural convection in unsteady

hydromagnetic Couette flow between two vertical parallel plates

with constant heat flux at one boundary, International Journal of

Mathematical Archive, Vol. 3, No. 6, pp. 2211 – 2224.

[36]. Brewster, M. Q., (1992). Thermal radiative transfer & properties,

John Wiley & Sons.

[37]. Antia, M., (1991). Numerical Methods for Scientists and Engineers,

Tata McGraw – Hill, New Delhi.

Page 6: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

205

[38]. Kim, Y. J., (2000). Unsteady MHD convective heat transfer past a

semi – infinite vertical porous moving plate with variable suction,

Int. J. Engg. Sci., Vol. 38, pp. 833 – 845.

[39]. Singh, B. and Thakur, C., (2002). An exact solution of plane

unsteady MHD non-Newtonian fluid flows, Ind. J. Pure Appl.

Math., Vol. 33, No. 7, pp. 993 – 1001.

[40]. Sharma, P. R. and Pareek, D., (2002). Steady free convection MHD

flow past a vertical porous moving surface, Ind. J. Theo. Phys.,

Vol. 50, pp. 5 – 13.

[41]. Singh, A. K., Singh, A. K. and Singh, N. P., (2003). Heat and mass

transfer in MHD flow of a viscous fluid past a vertical plate under

oscillatory suction velocity, Ind. J. Pure Appl. Math., Vol.

34, No. 3, pp. 429 – 442.

[42]. Makinde, O. D., Mango, J. M. and Theuri, D. M., (2003). Unsteady

free convection flow with suction on an accelerating porous plate,

AMSEJ. Mod. Meas. Cont. B., Vol. 72, No. 3, pp.

39 – 46.

[43]. Sarangi, K. C. and Jose, C. B., (2005). Unsteady free convective

MHD flow and mass transfer past a vertical porous plate with

variable temperature, Bull. Cal. Math. Soc., Vol. 97, No. 2,

pp. 137 – 146.

[44]. Das, S. S., Sahoo, S. K. and Dash, G. C., (2006). Numerical

solution of mass transfer effects on unsteady flow past an

accelerated vertical porous plate with suction,

Bull. Malays. Math. Sci. Soc., Vol. 29, No. 1, pp. 33 – 42.

Page 7: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

206

[45]. Das, S. S., Satapathy, A., Das, J. K. and Sahoo, S. K., (2007).

Numerical solution of unsteady free convective MHD flow past an

accelerated vertical plate with suction and heat flux,

J. Ultra Sci. Phys. Sci., Vol. 19, No. 1, pp. 105 – 112.

[46]. Das, S. S. and Mitra, M., (2009). Unsteady mixed convective MHD

flow and mass transfer past an accelerated infinite vertical plate

with suction, Ind. J. Sci. Tech., Vol. 2, No. 5, pp.

18 – 22.

[47]. Das, S. S., Satapathy, A., Das, J. K. and Panda, J. P., (2009).

Mass transfer effects on MHD flow and heat transfer past a

vertical porous plate through a porous medium under oscillatory

suction and heat source, Int. J. Heat Mass Transfer, Vol. 52,

pp. 5962 – 5969.

[48]. Gireesh Kumar, J., Satya Narayana, P. V. and Rama Krishna, S.,

(2009). Effects of chemical reaction and mass transfer on MHD

unsteady free convection flow past an infinite vertical plate with

constant suction and heat sink, J .Ultra Scientist, Vol. 21, No. 3,

pp. 12 – 28.

[49]. Arpaci, V. S., (1968). Effect of thermal radiation on the laminar

free convection from a heated vertical plate, Int. J. Heat Mass

Transfer, Vol. 11, pp. 871 – 881.

[50]. England, W. G. and Emery A.F., (1969). Thermal radiation effects

on the laminar free convection boundary layer of an absorbing

gas, Journal of Heat Transfer, Vol. 91, pp. 37 – 44.

Page 8: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

207

[51]. Singh, A. K., (1984). Hydromagnetic free convection flow past an

impulsively started vertical infinite plate in a rotating fluid,

Int. Comm. Heat Mass Transfer, Vol. 11, pp.399 – 406.

[52]. Bestman, A. R. and Adjepong, S. K., (1988). Unsteady

hydromagnetic free-convection flow with radiative heat transfer in

a rotating fluid, Astrophysics and Space Science, Vol. 143,

pp. 73 – 80.

[53]. Das, U. N., Deka, R. K. and Soundalgekar, V. M., (1996).

Radiation effects on flow past an impulsively started vertical

infinite plate, J. Theoretical Mechanics, Vol. 1, pp. 111 – 115.

[54]. Raptis, A. and Perdikis, C., (1999). Radiation and free convection

flow past a moving plate, Applied Mechanics and Engineering, Vol.

4, pp. 817 – 821.

[55]. Elbashbeshy, E. M. A., (2000). Radiation effect on heat transfer

over a stretching surface, Canad. J. Phys., Vol. 78,

pp. 1107 – 1112.

[56]. Takhar, H.S., Gorla, R.S.R. and Soundalgekar, V. M., (1996).

Radiation effects on MHD free convection flow of a gas past

semi – infinite vertical plate, Int. Numer. Methods Heat Fluid Flow,

Vol. 6, pp. 77 – 83.

[57]. Seddeek, M. A., (2001). Thermal radiation and buoyancy effects on

MHD free convective heat generating flow over an accelerating

permeable surface with temperature dependent viscosity, Canad.

J. Phys., Vol. 79, pp. 725 – 732.

Page 9: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

208

[58]. Ghaly, A.Y. and Elbarbary, E. M. E., (2002). Radiation effect on

MHD free convection flow of a gas at a stretching surface with a

uniform free stream, J. Appl. Math., Vol. 2,

pp. 93 – 103.

[59]. Gokhale, M. Y., (1991). Magnetohydrodynamic transient free

convection past a semi – infinite vertical plate with constant heat

flux, Canad. J. Phys. 69, 1451 – 1453.

[60]. Muthucumaraswamy, R. and Ganesan, P., (1998). Unsteady flow

past an impulsively started vertical plate with heat and mass

transfer, Heat and Mass Transfer, Vol. 34, pp. 187 – 193.

[61]. Cheng, P. and Teckchandani, L., (1977). Numerical solutions for

transient heating and fluid withdrawal in a liquid – dominated

geothermal reservoir, in the earth‟s crust: its nature and physical

properties, Vol. 20, pp. 705 – 721.

[62]. Benenati, R. F. and Brosilow, C. B., (1962). A. I. Ch. E. J.,

Vol. 81, pp. 359 – 361.

[63]. Chen T. S., Yuth, C. F. and Moutsoglou, A., (1980). Combined

heat and mass transfer in mixed convection along vertical and

inclined plates, Int. J. Heat Mass Transfer, Vol. 23,

pp. 527 – 537.

[64]. Bejan, A. and Khair, K. R., (1985). Mass transfer to natural

convection boundary layer flow driven by heat transfer, ASME J. of

Heat Transfer, Vol. 107, pp. 1979 – 1981.

Page 10: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

209

[65]. Lin, H. T. and Wu, C. M., (1995). Combined heat and mass

transfer by laminar natural convection from a vertical plate,

Int. J. Heat and Mass Transfer, Vol. 30, pp. 369 – 376.

[66]. Rushi Kumar, B. and Nagarajan, A. S., (2007). Mass transfer

effects of MHD free convection flow of an incompressible viscous

dissipative fluid, IRPAM, Vol. 3, No. 1, pp. 145 – 157.

[67]. Manohar, D. and Nagarajan, A. S., (2001). Mass transfer effects on

free convection flow of an incompressible viscous dissipative fluid,

Journal of Energy, Heat and Mass Transfer, Vol. 23, pp.

445 – 454.

[68]. Choi, C. K., Chung, T. J. and Kim, M. C., (2004). Buoyancy effects

in plane Couette flow heated uniformly from below with constant

heat flux, International Journal of Heat and Mass Transfer, Vol. 47,

pp. 2629 – 2636.

[69]. Attia, H. A. and Sayed – Ahmed, M. E., (2004). Hall Effect on

unsteady MHD Couette flow and heat transfer of a Bingham fluid

with suction and injection, Applied Mathematical Modelling,

Vol. 28, pp. 1027 – 1045.

[70]. Attia, H. A., (2007). On the effectiveness of variation in the

physical variables on the generalized coquette flow with heat

transfer in a porous medium, Research Journal of Physics,

Vol. 1, No. 1, pp. 1 – 9.

[71]. Makinde, O. D. and Osalusi, E., (2006). MHD steady flow in a

channel filled with slip at permeable boundaries, Romanian J.

Physics, Vol. 51, No. 3 – 4, pp. 319 – 328.

Page 11: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

210

[72]. Narahari, M., (2010). Effects of thermal radiation and free

convection currents on the unsteady Couette flow between two

vertical parallel plates with constant heat flux at one boundary,

WSEAS Transactions on Heat and Mass Transfer, Issue 1, Vol. 5,

pp. 21 – 30.

[73]. Israel – Cookey, C., Amos, E. and Nwaigwe, C., 2010. MHD

oscillatory Couette flow of a radiating viscous fluid in a porous

medium with periodic wall temperature, Am. J. Sci. Ind. Res., Vol.

1, No. 2, pp. 326 – 331, doi:10.5251/ajsir.2010.1.2.326.331

[74]. Brewster, M. Q., (1992). Thermal radiative transfer & properties,

John Wiley & Sons.

[75]. Antia, M., (1991). Numerical Methods for Scientists and Engineers,

Tata McGraw – Hill, New Delhi.

[76]. Hellums, J. D. and Churchill, S. W., (1962). Transient and steady

state, free and natural convection, numerical solutions: part 1.

The isothermal, vertical plate, AIChE J., Vol. 8, No. 5, pp.

690 – 692.

[77]. Soundalgekar, V. M. and Ganesan, P., (1981). Finite difference

analysis of transient free convection on an isothermal flat plate,

Regional Journal of Energy, Heat and Mass Transfer, Vol. 3,

pp. 219 – 224.

[78]. Soundalgekar, V. M. and Ganesan, P., (1981). Finite difference

analysis of transient free convection with mass transfer on an

isothermal vertical flat plate, International Journal of Engineering

Science, Vol. 19, No. 6, pp. 757 – 770.

Page 12: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

211

[79]. Takhar, H. S., Ganesan, P., Ekambavanan, K. and Soundalgekar,

V. M., (1997). Transient free convection past a semi – infinite

vertical plate with variable surface temperature, International

Journal of Numerical Methods for Heat and Fluid Flow, Vol. 7, No.

4, pp. 280 – 296.

[80]. Soundalgekar, V. M., Gupta, S. K. and Aranake, R. N., (1979).

Free convection effects on the MHD Stokes problem for a vertical

plate, Nuclear Engineering and Design, Vol. 51, No. 3,

pp. 403 – 407.

[81]. Sacheti, N. C., Chandran, P. and Singh, A. K., (1986). An exact

solution for unsteady magnetohydrodynamic free convection flow

with constant heat flux, International Communications in Heat and

Mass Transfer, Vol. 29, pp. 1465 – 1478.

[82]. Shanker, B. and Kishan, N., (1997). The effects of mass transfer

on the MHD flow past an impulsively started infinite vertical plate

with variable temperature or constant heat flux, Journal of Energy,

Heat and Mass Transfer, Vol. 19, pp. 273 – 278.

[83]. Elbashbeshy, E. M. A., (1997). Heat and mass transfer along a

vertical plate with variable surface tension and concentration in

the presence of magnetic field, International Journal of Engineering

Science, Vol. 34, No. 5, pp. 515 – 522.

[84]. Ganesan, P. and Palani, G., (2004). Numerical solution of

unsteady MHD flow past a semi – Infinite isothermal vertical plate,

Proceedings of the Sixth ISHMT/ASME Heat and Mass Transfer

Page 13: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

212

Conference and Seventeenth National Heat and Mass Transfer

Conference, Kalpakkam, India, pp. 184–187.

[85]. Cogley, A. C., Vincenti, W. C. and Gilles, S. E., (1968). Differential

approximation for radiation transfer in a non – gray gas near

equilibrium, American Institute of Aeronautics and Astronautics

Journal, Vol. 6, pp. 551 – 555.

[86]. Mansour, M. A., (1990).Radiative and free convection effects on

the oscillatory flow past a vertical plate, Astrophysics and Space

Science, Vol. 166, No. 2, pp. 269 – 275.

[87]. Hossain, M. A. and Takhar, H. S., (1996). Radiation effect on

mixed convection along a vertical plate with uniform surface

temperature, Heat and Mass Transfer, Vol. 31, No. 4,

pp. 243 – 248.

[88]. Hossain, M. A., Alim, M. A. and Rees, D. A. S., (1999). The effect of

radiation on free convection from a porous vertical plate,

International Journal of Heat and Mass Transfer, Vol. 42, No. 1,

pp. 181 – 191.

[89]. Seddeek, M. A., (2002). Effects of radiation and variable viscosity

on a MHD free convection flow past a semi – infinite flat plate with

an aligned magnetic field in the case of unsteady flow,

International Journal of Heat and Mass Transfer, Vol. 45, No. 4,

pp. 931 – 935.

[90]. Muthucumaraswamy, R. and Senthil, G. K., (2004).The effect of

heat and mass transfer on moving vertical plate in the presence of

Page 14: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

213

thermal radiation, Journal of Theoretical And Applied Mechanics,

Vol. 31, No. 1, pp. 35 – 46.

[91]. Pal, D., (2009). Heat and mass transfer in stagnation – point flow

towards a stretching surface in the presence of buoyancy force

and thermal radiation, Meccanica, Vol. 44, No. 2, pp.

145 – 158.

[92]. Aydin, O. and Kaya, A., (2008). Radiation effect on MHD mixed

convection flow about a permeable vertical plate, Heat and Mass

Transfer, Vol. 45, No. 2, pp. 239 – 246.

[93]. Mohamed, R. A., (2009). Double – diffusive convection radiation

interaction on unsteady MHD flow over a vertical moving porous

plate with heat generation and Soret effects, Applied Mathematical

Sciences, Vol. 3, No. 13 – 16, pp. 629 – 651.

[94]. Chauhan, D. S. and Rastogi, P., (2010). Radiation effects on

natural convection MHD flow in a rotating vertical porous channel

partially filled with a porous medium, Applied Mathematical

Sciences, Vol. 4, No. 13 – 16, pp. 643 – 655.

[95]. Ibrahim, S. Y. and Makinde, O. D., (2011). Radiation effect on

chemically reacting Magnetohydrodynamics (MHD) boundary layer

flow of heat and mass transfer through a porous vertical flat plate,

International Journal of Physical Sciences, Vol. 6, No. 6, pp. 1508 –

1516.

[96]. Pal, D. and Mondal, H., (2011). The influence of thermal radiation

on hydromagnetic Darcy – forchheimer mixed convection flow past

Page 15: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

214

a stretching sheet embedded in a porous medium, Meccanica, Vol.

46, No. 4, pp. 739 – 753.

[97]. Palani, G. and Kim, K. Y., (2012). Influence of magnetic field and

thermal radiation by natural convection past vertical cone

subjected to variable surface heat flux, Applied Mathematics and

Mechanics (English Edition), Vol. 33, pp. 605 – 620.

[98]. Mahmoud, M. A. A. and Waheed, S. A., (2012). Variable fluid

properties and thermal radiation effects on flow and heat transfer

in micropolar fluid film past moving permeable infinite flat plate

with slip velocity, Applied Mathematics and Mechanics (English

Edition), Vol. 33, pp. 663 – 678.

[99]. Gebhart, B., (1962). Effect of viscous dissipation in natural

convection, J. Fluid Mech., Vol. 14, No. 2, pp. 225 – 232.

[100]. Gebhart, B. and Mollendraf, J., (1969). Viscous dissipation in

external natural convection flows, J. Fluid. Mech., Vol. 38,

pp. 97 – 107.

[101]. Soundalgekar, V.M., (1972). Viscous dissipation effects on

unsteady free convective flow past an infinite vertical porous plate

with constant suction, Int. J. Heat Mass Transfer, Vol. 15, No. 6,

pp. 1253 – 1261.

[102]. Maharajan, R.L. and Gebhart, B.B., (1989). Influence of viscous

heating dissipation effects in natural convective flows,

Int. J. Heat Mass Transfer, Vol. 32, No. 7, pp. 1380 – 1382.

[103]. Israel – Cookey, C., Ogulu, A. and Omubo – Pepple, V. B., (2003).

Influence of viscous dissipation on unsteady MHD free convection

Page 16: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

215

flow past an infinite heated vertical plate in porous medium with

time – dependent suction, Int. J. Heat mass Transfer, Vol. 46, pp.

2305 – 2311.

[104]. Suneetha, S., Bhaskar Reddy, N. and Ramachandra Prasad, V.,

(2008). Effects of viscous dissipation and thermal radiation on

hydromagnetic free convection flow past an impulsively started

vertical plate, J. Naval Archit. Marine Eng., Vol. 2.

[105]. Suneetha, S., Bhaskar Reddy, N. and Ramachandra Prasad, V.,

(2009). Effects of thermal radiation on the natural convective heat

and mass transfer of a viscous incompressible gray absorbing

emitting fluid flowing past an impulsively started moving vertical

plate with viscous dissipation, Thermal Sci., Vol. 13,

No. 2, pp. 71 – 81.

[106]. Ahmed, S. and Batin, A., (2010). Analytical model of MHD mixed

convective radiating fluid with viscous dissipative heat, Int. J.

Engg. Sci. Tech., Vol. 2, No. 9, pp. 4902 – 4911.

[107]. Sudheer Babu, M., Satya Narayana, P. V., Sankar Reddy, T. and

Uma Maheswara Reddy, D., (2011). Radiation and chemical

reaction effects on an unsteady MHD convection flow past a

vertical moving porous plate embedded in a porous medium with

viscous dissipation, Advances in Applied Science Research,

Vol. 2, No. 5, pp. 226 – 239.

[108]. Kishore, P. M., Rajesh, V. and Vijaya Kumar Verma, S., (2012).

The effects of thermal radiation and viscous dissipation on MHD

heat and mass diffusion flow past an oscillating vertical plate

Page 17: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

216

embedded in a porous medium with variable surface conditions,

Theoret. Appl. Mech., Vol. 39, No. 2.

[109]. Sutton, W. G. and Sherman, A., (1965). Engineering

Magnetohydrodynamics, McGraw – Hill Book Company:

New York.

[110]. Cramer,K. R. and Pai, S. I., (1973).Magneto fluid Dynamics for

Engineers and Applied Physicists, Scripta Publishing Company:

Washington D.C.

[111]. Blums, E. M. and Ozols, R., (1987). Heat and Mass Transfer in

MHD Flows, World Scientific Publishing Co. Pte. Ltd.: Singapore.

[112]. Katagiri, M., (1969). The effect of Hall currents on the

magnetohydrodynamic boundary layer flow past a semi – infinite

flat plate, J. Phys. Soc. Japan, Vol. 27, pp. 1051 – 1059.

[113]. Hossain, M. A. and Rashid, R. I. M. A., (1987). Hall effects on

hydromagnetic free convection flow along a porous flat plate with

mass transfer, J. Phys. Soc. Japan, Vol. 56, pp. 97 – 104.

[114]. Hossain, M. A. and Mohammad, K., (1988). Effect of Hall current

on hydromagnetic free convection flow near an accelerated porous

plate, Japan J. Appl. Phys., Vol. 27, No. 8,

pp. 1531 – 1535

[115]. Pop, I. and Watanabe, T., (1994). Hall effects on

magnetohydrodynamic free convection about a semi – infinite

vertical flat plate, Int. J. Eng. Sci., Vol. 32, pp. 1903 – 1911.

Page 18: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

217

[116]. Pop, I. and Watanabe, T., (1995). Hall effects on

magnetohydrodynamic boundary layer flow over a continuous

moving flat plate, Acta Mech., Vol. 108, pp. 35 – 47.

[117]. Sharma, B. K., Jha, A. K. and Chaudhary, C. R., (2007). Hall

Effect on MHD mixed convective flow of a viscous incompressible

fluid past a vertical porous plate immersed in a porous medium

with heat source/sink, Rom. J. Phys., Vol. 52, No. 5 – 7,

pp. 487 – 505.

[118]. Hayat, T. and Abbas, Z., (2007). Effects of Hall current and heat

transfer on the flow in a porous medium with slip condition, J.

Porous Media, Vol. 10, No. 1, pp. 35 – 50.

[119]. Guria, M., Kanch, A. K., Das, S. and Jana, R. N., (2010). Effects of

Hall current and slip condition on unsteady flow of a viscous fluid

due to non – coaxial rotation of a porous disk and a fluid at

infinity, Meccanica, Vol. 45, pp. 23 – 32.

[120]. Shit, G. C., (2009). Hall effects on MHD free convective flow and

mass transfer over a stretching sheet, Int. J. Appl. Math. Mech.,

Vol. 5, No. 8, pp. 22 – 38.

[121]. Ghara, N., Guria, M. and Jana, R. N., (2012). Hall Effect on

oscillating flow due to eccentrically rotating porous disk and a

fluid at infinity, Meccanica, Vol. 47, pp. 557 – 571.

[122]. Das, S., Sarkar, B. C. and Jana, R. N., (2011). Hall effects on

MHD Couette flow in rotating system, Int. J. Comput. Appl.,

Vol. 35, No. 13, pp. 22 – 30.

Page 19: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

218

[123]. Seth, G. S., Jana, R. N. and Maiti, M. K., (1982). Unsteady

hydromagnetic Couette flow in a rotating system, Int. J. Engng.

Sci., Vol. 20, pp. 989 – 999.

[124]. Singh, A. K., Sacheti, N. C. and Chandran, P., (1994). Transient

effects in magnetohydrodynamic Couette Flow with rotation:

Accelerated motion, Int. J. Engng. Sci., Vol. 32, pp. 133 – 139.

[125]. Chauhan, D. S. and Vyas, P., (1995). Heat transfer in

hydromagnetic Couette flow of compressible Newtonian fluid,

ASCE J. of Engng. Mech., Vol. 121, pp. 57 – 61.

[126]. Attia, H. A. and Ewis, K. M., (2010). Unsteady MHD Couette flow

with heat transfer of a visco – elastic fluid under exponential

decaying pressure gradient, Tamkang J. Sci. Engng.,

Vol. 13, pp. 359 – 364.

[127]. Seth, G. S., Ansari, M. S. and Nandkeolyar, R., (2011). Unsteady

hydromagnetic Couette flow within a porous channel, Tamkang J.

Sci. Engng., Vol. 14, pp. 7 – 14.

[128]. Attia, H. A., Al – kaisy, A. M. A. and Ewis, K. M., (2011). MHD

Couette flow and heat transfer of a dusty fluid with exponential

decaying pressure gradient, Tamkang J. Sci. Engng., Vol. 14,

pp. 91 – 96.

[129]. Soundalgekar, V. M., Vighnesam, N. V. and Takhar, H. S., (1979).

Hall and Ion – Slip effects in MHD Couette flow with heat transfer,

IEEE Trans Plasma Sci., Vol. 7, pp. 178 – 182.

Page 20: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

219

[130]. Soundalgekar, V. M. and Uplekar, A. G., (1986). Hall Effects in

MHD Couette with heat transfer, IEEE Trans Plasma Sci.,

Vol. 14, pp. 579 – 583.

[131]. Attia, H. A., (2005). MHD Couette flow with temperature

dependent viscosity and ion slip, Tamkang J. Sci. Engng., Vol. 8,

pp. 11 – 16.

[132]. Mandal, G. and Mandal, K. K., (1983). Effect of Hall Current on

MHD Couette flow between thick arbitrarily conducting plates in a

rotating system, J. Physical Soc. Japan, Vol. 52, pp. 470 – 477.

[133]. Ghosh, S. K., (2002). Effects of Hall Current on MHD Couette flow

in a rotating system with arbitrary magnetic field, Czech J. Phys.,

Vol. 52, pp. 51 – 63.

[134]. Krishna, D. V., Prasada Rao, D. R. V. and Ramachandra Murthy,

A. S., (2002). Hydromagnetic Convection flow through a porous

medium in a rotating channel, J. Eng. Phys. Thermo phys.,

Vol. 75, pp. 281 – 291.

[135]. Beg, O. A., Zueco, J. and Takhar, H. S., (2009). Unsteady

magnetohydrodynamic Hartmann – Couette flow and heat transfer

in a Darcian channel with hall current, ion – slip, viscous and

joule heating effects: Network Numerical Solutions, Commun. in

Nonlinear Sci. and Numer. Simulation, Vol. 14,

pp. 1082 – 1097.

[136]. Ochoa – Tapia, J. A. and Whitaker, S., (1995a). Momentum

transfer at the boundary between a porous medium and a

Page 21: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

220

homogeneous fluid – I: Theoretical Development, Int. J. Heat Mass

Transfer, Vol. 38, pp. 2635 – 2646.

[137]. Ochoa – Tapia, J. A. and Whitaker, S., (1995b). Momentum

transfer at the boundary between a porous medium and a

homogeneous fluid – I. Comparison with experiment, Int. J. Heat

Mass Transfer, Vol. 38, pp. 2647 – 2655.

[138]. Kuznetsov, A. V., (1998). Analytical investigation of Couette flow in

a composite channel partially filled with a porous medium and

partially with a clear fluid, Int. J. Heat Mass Transfer, Vol. 41, pp.

2556 – 2560.

[139]. Chauhan, D. S. and Rastogi, P., (2009). Hall Current and heat

transfer effects on MHD flow in a channel partially filled with a

porous medium in a rotating system, Turkish J. Eng. Env. Sci.,

Vol. 33, pp. 167 – 184.

[140]. Chauhan, D. S. and Agrawal, R., (2010). Effects of Hall Current on

MHD flow in a rotating channel partially filled with a porous

medium, Chem. Engng. Comm., Vol. 197, pp. 830 – 845.

[141]. Chauhan, D. S. and Agrawal, R., (2011). Effects of Hall Current on

MHD Couette flow in a channel partially filled with a porous

medium in a rotating system, Meccanica, DOI 10.1007/s11012 –

011 – 9446 – 9.

[142]. Anjali Devi, S. P., Shailendhra, K. and Ramesan, C. V., (2012).

Hall Effect on unsteady MHD free convection flow past an

impulsively started porous plate with viscous and joule‟s

Page 22: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

221

dissipation, International Journal of Science and Engineering

Investigations, Vol. 1, Issue 6, pp. 64 – 71.

[143]. Chandrasekhar, S., (1961). Hydrodynamic and Hydromagnetic

Stability, Oxford University Press: Oxford.

[144]. Poots, G., (1961). Laminar natural convection flow in

Magnetohydrodynamics, Int. J. of Heat Mass Transfer, Vol. 3, pp.1

– 25.

[145]. Brewster, M. Q., (1992). Thermal radiative transfer & properties,

John Wiley & Sons.

[146]. Antia, M., (1991). Numerical Methods for Scientists and Engineers,

Tata McGraw – Hill, New Delhi.

[147]. Batchelor, G. K., (1997). An Introduction to Fluid Dynamics,

Cambridge University Press: Cambridge.

[148]. Singh, A. K., (1983a). MHD free convection flow in the Stoke‟s

problem for a porous vertical plate by finite difference method,

Astrophysics and Space Science, Vol. 90, No. 1, pp. 67 – 74.

[149]. Nanousis, N. D., Georgantopoulos, G. A. and Papaioannou, A. I.,

(1980). Hydromagnetic free convection flow in the Stoke‟s problem

for a porous vertical limiting surface with constant suction,

Astrophysics and Space Science, Vol. 70, pp. 377 – 383.

[150]. Lekas, Th. I. and Georgantopoulos, G. A., (1992). Influence of

viscous dissipation on a hydromagnetic field, Astrophysics and

Space Science, Vol. 191, pp. 299 – 305.

Page 23: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

222

[151]. Shailendhra, K., (2002). Studies on unsteady and enhanced heat

transfer in MHD flows, Ph. D. Thesis, Bharathiar University,

Coimbatore – 641046, India.

[152]. Hossain, M. A., (1986). Effect of Hall current on unsteady

hydromagnetic free convection flow near an infinite vertical porous

plate, J. Phys. Soc. Japan., Vol. 55, pp. 2183 – 2190.

[153]. Kafousis, N. G., Nanousis, N. D. and Georgantopoulos, G. A.,

(1979). Free convection effects on the stokes problem for an

infinite vertical limiting surface with constant suction,

Astrophysics and Space Science, Vol. 64, pp. 391 – 399.

[154]. Anjali Devi, S. P., Shailendhra, K. and Hemamalini, P. T., (2011).

Pulsated convective MHD flow with Hall current, Heat Source and

viscous dissipation along a vertical porous plate, International

Journal of Applied Mathematics and Computation, Vol. 3, No. 2, pp.

141 – 150.

[155]. Jana, R. N. and Datta, N., (1977). Couette flow and heat transfer

in a rotating system, Acta Mechanica, Vol. 26, pp. 301 – 306.

[156]. Singh, A. K., Sacheti, N. C. and Chandran, P., (1994). Transient

Effects in Magnetohydrodynamic Couette flow with rotation:

Accelerated Motion, International Journal of Engineering Sciences,

Vol. 32, pp. 133 – 139.

[157]. Kearsley, A. J., (1994). A steady state model of Couette flow with

viscous heating, International Journal of Engineering Sciences, Vol.

32, pp. 179 – 186.

Page 24: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

223

[158]. Kumar, J., Lakshmana Rao, C. and Massoudi, M., (2003). Couette

flow of granular materials, International Journal of Non –

Linear Mechanics, Vol. 38, pp. 11 – 20.

[159]. Choi, C. K., Chung, T. J. and Kim, M. C., (2004). Buoyancy effects

in plane Couette flow heated uniformly from below with constant

heat flux, International Journal of Heat and Mass Transfer, Vol. 47,

pp. 2629 – 2636.

[160]. Hashemabadi, S. H., Etemad, S. Gh. and Thibault, J., (2004).

Forced convection heat transfer of Couette – Poiseuille flow of

nonlinear visco – elastic fluids between parallel plates,

International Journal of Heat and Mass Transfer, Vol. 47,

pp. 3985 – 3991.

[161]. Attia, H. A., (2008). The effect of variable properties on the

unsteady Couette flow with heat transfer considering the Hall

Effect, Communications in Nonlinear Science and Numerical

Simulation, Vol. 13, pp. 1596 – 1604.

[162]. Beg, O. A., Takhar, H. S., Zueco, J., Sajid, A. and Bhargava, R.,

(2008). Transient Couette Flow in a rotating non – Darcian porous

medium parallel plate configuration: Network Simulation Method

Solutions, Acta Mechanica, Vol. 200, pp. 129 – 144.

[163]. Schlichting, H. and Gersten, K., (2001). Boundary – Layer Theory,

8th Revised and Enlarged Edition, Springer.

[164]. Aung, W., (1972). Fully developed laminar free convection between

vertical plates heated asymmetrically, International Journal of Heat

Page 25: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

224

and Mass Transfer, Vol. 15, No. 8, pp. 1577 –

1580.

[165]. Joshi, H. M., (1988). Transient effects in natural convection

cooling of vertical parallel plates, International Communications in

Heat and Mass Transfer, Vol. 15, pp. 227 – 238.

[166]. Barletta, A., (1999). Heat transfer by fully developed flow and

viscous heating in a vertical channel with prescribed wall heat

fluxes, International Journal of Heat and Mass Transfer, Vol. 42,

pp. 3873 – 3885.

[167]. Jha, B. K., Singh, A. K. and Takhar, H. S., (2003). Transient free

convection flow in a vertical channel due to symmetric heating,

International Journal of Applied Mechanics and Engineering,

Vol. 8, No. 3, pp. 497 – 502.

[168]. Campo, A., Manca, O. and Morrone, B., (2006). Numerical

investigation of the natural convection flows for low – Prandtl

fluids in vertical parallel – plates channels, ASME Journal of

Applied Mechanics, Vol. 73, pp. 96 – 107.

[169]. Singh, A. K. and Paul, T., (2006). Transient natural convection

between two vertical walls heated/cooled asymmetrically,

International Journal of Applied Mechanics and Engineering,

Vol. 11, No. 1, pp. 143 – 154.

[170]. Narahari, M., (2009). Oscillatory plate temperature effects of free

convection flow of dissipative fluid between long vertical parallel

plates, International Journal of Applied Mathematics and

Mechanics, Vol. 5, No. 3, pp. 30 – 46.

Page 26: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

225

[171]. Singh, A. K., (1988). Natural convection in unsteady Couette

motion, Defense Science Journal, Vol. 38, No. 1, pp. 35 – 41.

[172]. Jha, B. K., (2001). Natural convection in unsteady MHD Couette

flow, Heat and Mass Transfer, Vol. 37, pp. 329 – 331.

[173]. Jain, N. C. and Gupta, P., (2006). Three dimensional free

convection Couette flow with transpiration cooling, Journal of

Zhejiang University Science A, Vol. 7, No. 3, pp. 340 – 346.

[174]. Barletta, A. and Magyari, E., (2008). Buoyant Couette – Bingham

flow between vertical parallel plates, International Journal of

Thermal sciences, Vol. 47, pp. 811 – 819.

[175]. Barletta, A., Lazzari, S. and Magyari, E., (2008). Buoyant

Poiseuille – Couette flow with viscous dissipation in a vertical

channel, ZAMP, Vol. 59, pp. 1039 – 1056.

[176]. Vradis, G. C., Dougher, J. and Kumar, S., (1993). Entrance pipe

flow and heat transfer for a Bingham plastic, Int. J. Heat Mass

transfer, Vol. 96, pp. 543 – 550.

[177]. Bird, R. B., Dai, G. C. and Yarusso, B. J., (1983). The rheology

and flow of visco – plastic materials, Rev. Chem. Engg., Vol. 1, pp.

36 – 69.

[178]. Walton, I. C. and Bittleston, S.H., (1991). The axial flow of a

Bingham plastic in a narrow eccentric annulus, J. Fluid Mech.,

Vol. 222, pp. 39 – 60.

[179]. Patel, N. and Ingham, D. B., (1994). Mixed convection flow of a

Bingham plastic in an eccentric annulus, Int. J. Heat Flow,

Vol. 15, No. 2, pp. 132 – 141.

Page 27: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

226

[180]. Min, T., Yoo, J. Y. and Choi, H., (1997). Laminar convective heat

transfer of a Bingham plastic in a circular pipe. II. Numerical

approach hydrodynamically developing flow and simultaneously

developing flow, Int. J. Heat Mass Transfer, Vol. 40, No. 15,

pp. 3689 – 3701.

[181]. Petrov, A. G., (2000). The development of the flow of viscous and

visco – plastic media between two parallel plates, J. Appl. Math.

Mech., Vol. 64, No. 1, pp. 123 – 132.

[182]. Seddeek, M. A., (2002). Effects of radiation and variable viscosity

on a MHD free convection flow past a semi – infinite flat plate with

an aligned magnetic field in the case of unsteady flow, Int. J. Heat

and Mass Transfer, Vol. 45, pp. 931 – 945.

[183]. Viskanta, R. and Grosh, R. J., (1962). Boundary layer in thermal

radiation absorbing and emitting media, Int. J. Heat and Mass

Transfer, Vol. 5, pp. 795 – 806.

[184]. Cess, R. D., (1966). The interaction of thermal radiation with free

convection heat transfer, Int. J. Heat and Mass Transfer, Vol. 9,

pp. 1269 – 1277.

[185]. Sparrow, E. M. and Cess, R. D., (1966). Radiation heat transfer,

Belmont, Calif.: Brooks/Cole.

[186]. Howell, J. R., Siegel, R. and Menguc¸ M. P., (2010). Thermal

radiation heat transfer, 5th ed. FL: CRC Press.

[187]. Takhar, H. S., Gorla, R. S. R. and Soundalgekar, V. M., (1966).

Short communication radiation effects on MHD free convection

Page 28: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

227

flow of a gas past a semi – infinite vertical plate, Int. J. Numer.

Methods Heat Fluid Flow, Vol. 6, pp. 77 – 83.

[188]. Raptis, A. and Massalas, C. V., (1998). Magnetohydrodynamic flow

past a plate by the presence of radiation, Heat Mass Transfer, Vol.

34, pp. 107 – 109.

[189]. Chamkha, A. J., (2000). Thermal radiation and buoyancy effects

on hydromagnetic flow over an accelerating permeable surface

with heat source or sink, Int. J. Engg. Sci., Vol. 38,

pp. 1699 – 1712.

[190]. Cookey, C. I., Ogulu, A. and Omubo – Pepple, V. B., (2003).

Influence of viscous dissipation and radiation on unsteady MHD

free convection flow past an infinite heated vertical plate in a

porous medium with time – dependent suction, Int. J. Heat and

Mass Transfer, Vol. 46, pp. 2305 – 2311.

[191]. Ogulu, A. and Makinde, O. D., (2008). Unsteady hydromagnetic

free convection flow of a dissipative and radiating fluid past a

vertical plate with constant heat flux, Chem. Engg. Commun.,

Vol. 196, pp. 454 – 462.

[192]. Mahmoud, M. A. A., (2009). Thermal radiation effect on unsteady

MHD free convection flow past a vertical plate with temperature

dependent viscosity, Can. J. Chem. Engg., Vol. 87,

pp. 47 – 52.

[193]. Pop, I. and Watanabe, T., (1994). Hall Effect on

magnetohydrodynamic free convection about a semi – infinite

vertical flat plate, Int. J. Engg. Sci., Vol. 32, pp. 1903 – 1911.

Page 29: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

228

[194]. Abo – Eldahab, E. M. and Elbarbary, E. M. E., (2001). Hall current

effect on magnetohydrodynamic free convection flow past a semi –

infinite vertical plate with mass transfer, Int. J. Engg.

Sci., Vol. 39, pp. 1641 – 1652.

[195]. Takhar, H. S., Roy, S. and Nath, G., (2003). Unsteady free

convection flow over an infinite vertical porous plate due to the

combined effects of thermal and mass diffusion, magnetic field

and Hall currents, Heat Mass Transfer, Vol. 39, pp. 825 – 834.

[196]. Saha, L. K., Siddiqa, S. and Hossain, M. A., (2011). Effect of Hall

current on MHD natural convection flow from vertical permeable

flat plate with uniform surface heat flux, Appl. Math. Mech. Engl.

Ed., Vol. 32, No. 9, pp. 1127 – 1146.

[197]. Satya Narayana, P. V., Venkateswarlu, B. and Venkataramana, S.,

(2013). Effects of Hall current and radiation absorption on MHD

micropolar fluid in a rotating system, Ain Shams Engg. J., http://

dx.doi.org/10.1016/j.asej.2013.02.002.

[198]. Seth, G. S., Mahato, G. K. and Sarkar, S., (2013). Effects of Hall

current and rotation on MHD natural convection flow past an

impulsively moving vertical plate with ramped temperature in the

presence of thermal diffusion with heat absorption, Int. J. Energy

Tech., Vol. 5, No. 16, pp. 1 – 12.

[199]. Schlichting, H., (1986). Boundary Layer Theory, McGraw – Hill,

New York, 1986.

[200]. Sutton, G. W. and Sherman, A., (1965). Engineering

Magnetohydrodynamics, McGraw – Hill, New York.

Page 30: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

229

[201]. Attia, H. A., (1998). Hall current effects on the velocity and

temperature fields of an unsteady Hartmann flow, Can. J. Phys.,

Vol. 76, No. 9, pp. 739 – 746.

[202]. Brewster, M. Q., (1992). Thermal radiative transfer & properties,

John Wiley & Sons.

[203]. Antia, M., (1991). Numerical Methods for Scientists and Engineers,

Tata McGraw – Hill, New Delhi.

[204]. Bejan, A., (1993). Convection heat transfer, 2nd ed., John Wiley &

Sons.

[205]. Gebhart, B. and Pera, L., (1971). The nature of vertical natural

convection flows resulting from the combined buoyancy effects of

thermal and mass diffusion, Int. J. Heat Mass Transfer,

Vol. 14, pp. 2025 – 2050.

[206]. Raptis, A. A., (1982). Free convection and mass transfer effects on

the oscillatory flow past an infinite moving vertical isothermal

plate with constant suction and heat sources, Astrophy. Space

Sci., Vol. 86, pp. 43 – 53.

[207]. Bejan, A. and Khair, K. R., (1985). Heat and mass transfer by

natural convection in a porous medium, Int. J. Heat and Mass

Transfer, Vol. 28, pp. 909 – 918.

[208]. Jang, J. Y. and Chang, W. J., (1988). Buoyancy – Induced inclined

boundary layer flow in a porous medium resulting from combined

heat and mass buoyancy effects, Int. Commun. Heat Mass

Transfer, Vol. 15, pp. 17 – 30.

Page 31: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

230

[209]. Lai, F. C. and Kulacki, F. A., (1981). Non – Darcy mixed

convection along a vertical wall in a saturated porous medium, J.

Heat Transfer, Vol. 113, pp. 252 – 255.

[210]. Nakayama, A. and Hossain, M. A., (1995). An integral treatment

for combined heat and mass transfer by natural convection in a

porous medium, Int. J. Heat and Mass Transfer, Vol. 38, pp.

761 – 765.

[211]. Yih, K. A., (1997). The effect of transpiration on coupled heat and

mass transfer in mixed convection over a vertical plate embedded

in a saturated porous medium, Int. Commun. Heat Mass Transfer,

Vol. 24, pp. 265 – 275.

[212]. Chamkha, A. J., Takhar, H. S. and Soundalgekar, V. M., (2001).

Radiation effects on free convection flow past a semi – infinite

vertical plate with mass transfer, Chem. Eng. J.,

Vol. 84, pp. 335 – 342.

[213]. Ganesan, P. and Palani, G., (2003). Natural convection effects on

impulsively started inclined plate with heat and mass transfer,

Heat Mass Transfer, Vol. 39, pp. 277 – 283.

[214]. Eckert, E. R. and Drake, R. M., (1972). Analysis of heat and mass

transfer, Mc – Graw Hill.

[215]. Gebhart. B., Jaluria, Y., Mahajan, R. L. and Sammakia, B.,

(1998). Buoyancy Induced Flow and Transport, New York

Hemisphere.

[216]. Nield, D. A. and Bejan, A., (2006). Convection in porous media, 3rd

ed., Springer.

Page 32: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

231

[217]. Pop, I. and Ingham, D. B., (2001). Convective heat transfer:

mathematical and computational modeling of viscous fluids and

porous media, Oxford Pergamon.

[218]. Incropera, F. P., Bergman, T. L., Lavine, A. S. and Dewitt, D. P.,

(2011). Fundamentals of heat and mass transfer, John Wiley &

Sons.

[219]. Bejan, A. and Khair, K. R., (1985). Heat and mass transfer by

natural convection in a porous medium, Int. J. Heat Mass

Transfer, Vol. 28, pp. 909 – 918.

[220]. Raptis, A., Tzivanidis, G. and Kafousias, N., (1981). Free

convection and mass transfer flow through a porous medium

bounded by an infinite vertical limiting surface with constant

suction, Lett. Heat Mass Transfer, Vol. 8, pp. 417 – 424.

[221]. Lai, F. C. and Kulacki, F. A., (1991). Coupled heat and mass

transfer by natural convection from vertical surfaces in a porous

medium, Int. J. Heat Mass Transfer, Vol. 34, pp. 1189 – 1194.

[222]. Raptis, A., (1986). Flow through a porous medium in the presence

of magnetic field, Int. J. Energy Res., Vol. 10, pp.

97 – 101.

[223]. Soundalgekar, V. M., (1990). Free – convection effects on the

oscillatory flow past an infinite vertical porous plate with constant

suction, J. Roy. Soc. London , Vol. A 333, pp. 25 – 36.

[224]. Takhar, H. S. and Ram, P. C., (1994). Magnetohydrodynamic free

convection flow of water at Co4 through a porous medium, Int.

Comm. Heat Mass Transfer, Vol. 21, pp. 371 – 376.

Page 33: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

232

[225]. Soundalgekar, V. M., Gupta, S. K. and Birajdar, N. S., (1979).

Effects of mass transfer and free convection effects on MHD

Stokes problem for a vertical plate, Nucl. Eng. Design, Vol. 53,

pp. 309 – 346.

[226]. Eilbashbeshy, E. M. A., (1997). Heat and Mass transfer along a

vertical plate with variable surface tension and concentration in

the presence of magnetic field, Int. J. Eng Science, Vol. 35,

pp. 515 – 522.

[227]. Alagoa, K. D., Tay, G. and Abbey, T. M., (1999). Radiative and free

convection effects of a MHD flow through porous medium between

infinite parallel plates with time dependent suction, Astrophysics.

Space. Sci., Vol. 260, pp. 455 – 468.

[228]. Bestman, A. R. and Adjepong, S. K. (1998). Unsteady

hydromagnetic free convection flow with radiative transfer in a

rotating fluid, Astrophysics. Space Sci., Vol. 143, pp. 73 – 80.

[229]. Promise Mebine and Emmanuel Munakurogha Adigio, (2011).

Effects of thermal radiation on transient MHD free convection flow

over a vertical surface embedded in a porous medium with

periodic boundary temperature, Mathematica Aeterna, Vol. 1,

No. 4, pp. 245 – 261.

[230]. Ramachandra Prasad, V. Bhaskar Reddy, N., (2007). Radiation

and mass transfer effects on an unsteady MHD free convection

flow past a heated vertical plate in a porous medium with viscous

dissipation, Theoret. Appl. Mech., Vol. 34, No. 2, pp. 135

– 160.

Page 34: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

233

[231]. Israel – Cookey, C., Ogulu, A. and Omubo – Pepple. (2003).

Influence of viscous dissipation on unsteady MHD free convection

flow past an infinite vertical plate in porous medium with time

dependent suction, Int. J. Heat and Mass Transfer, Vol. 46, pp.

2305 – 2311.

[232]. Singh, A. K., (1988). Natural convection in unsteady Couette

motion, Defence Science Journal, Vol. 38, No. 1, pp. 35 – 41.

[233]. Kearsley, A. J., (1994). A steady state model of Couette flow with

viscous heating, Int. J. Eng. Tech. Research, Vol. 32,

pp. 179 – 186.

[234]. Jha, B. K., (2001). Natural convection in unsteady MHD Couette

flow, Heat and mass transfer, Vol. 37, pp. 329 – 331.

[235]. Mebine, P., (2007). Radiation effects on MHD Couette flow with

heat transfer between two parallel plates, Global J. Pure applied

Mathematics, Vol. 3, No. 2, pp. 191 – 202.

[236]. Narahari, M., (2010). Effects of thermal radiation and free

convection currents on the unsteady Couette flow between two

vertical parallel plates with constant heat flux at one boundary,

Wseas Transactions on heat and mass transfer, Vol. 5,

pp. 21 – 30.

[237]. Seth, G. S., Ansari, M. S. and Nandkeolyar (2011). Unsteady

hydromagnetic Couette flow within a porous channel, Tamkang J.

Sci. Eng., Vol. 14, No. 1, pp. 7 – 14.

[238]. Deka, R. K. and Bhattacharya, A., (2011). Unsteady free

convective Couette flow of heat generation/absorbing fluid in

Page 35: [1]. Suriano, F. J., Kwang Tzu, Y. and Donlon, J. A ...shodhganga.inflibnet.ac.in/bitstream/10603/22641/13/13_references.pdf · 200 [1]. Suriano, F. J., Kwang – Tzu, Y. and Donlon,

234

porous medium, Int. J. Math. Archive, Vol. 2, No. 6,

pp. 853 – 863.

[239]. Rajput, U. S. and Sahu, P. K., (2012). Natural convection in

unsteady hydromagnetic Couette flow through a vertical channel

in the presence of thermal radiation, Int. J. of Appl. Math. and

Mech., Vol. 8, No. 3, pp. 35 – 56.

[240]. Brewster, M. Q., (1992). Thermal radiative transfer & properties,

John Wiley & Sons.

[241]. Antia, M., (1991). Numerical Methods for Scientists and Engineers,

Tata McGraw – Hill, New Delhi.