[tanate matum] identification of critical parameters of flows in multi-narrow gap coaxial short...

7/26/2019 [Tanate Matum] Identification of Critical Parameters of Flows in Multi-Narrow Gap Coaxial Short Cylinder

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234 7 2552

Identification of Critical Parameters of Flows in Multi-Narrow Gap

Coaxial Short Cylinder

1 1,*

1

The complex flows in Multi-Narrow Gap Coaxial Short Cylinder are the combination of Couetteflow in a four-couple coaxial short cylinders with different radius that comprise the axial bound influences

-

10800

*: [email protected],: (662) 913-2500 8101, : (662) 586-9541

4

290 320

:, ,,, ,-, ,

Abstract


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along each set of cylinder. The first set of Multi-Narrow Gap Coaxial Short Cylinder turns with constantangular velocity while the second set is kept unmoving. The characteristics of this flow are the instabilityof flow pattern which occur when the angular velocity of the first set of Multi -Narrow Gap Coaxial Short

Cylinder reaches some critical values. This research studies the critical angular velocity takes place fromthe evolution of the laminar regime to the transition and from the transition regime to the turbulenceregime. With the help of finite volume method, the system of continuity and momentum equation is solvedand the flow behavior based on the turbulence model, Large Eddy Simulation, in Computational FluidDynamic commercial software is visualized through the numerical simulation.Purposely, this research canbe identified the subcritical angular velocity and the supercritical angular velocity which are equal to 290rpm and 320 rpm, respectively. In addition, the flow also changes from Couette flow to Taylor vorticesand from Taylor vortices to wavy vortices when the angular velocities reach the critical values.

Keywords:Coaxial Cylinder, Critical Velocity, Instability,LES,CFD, Couette flow, Taylor vortices flow,wavy vortices flow

1.

3 3

" "

( )

Maurice Marie

Alfred Couette

-

Sir GeoffreyIngram Taylor

" (Taylor vortices)" "
http://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=nohttp://en.wikipedia.org/w/index.php?title=Maurice_Marie_Alfred_Couette&redirect=no


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(subcritical velocity)"

"(Wavy vortices)"

S.T.Wereley[2,3] particle image velocimetry(PIV)

P.S.Marcus[4] shiftt and reflect D. Pirr[5] (DNS)

O.Czarny [6,7] - J.Y.Hwang [8] Wereley and Lueptow

I. Raspo [9] L.A. Bordag [10] S.Kumar [11]

-

U

m s P

m s U m s u m s 2m s k g m s 3kg m .rpm y

+

Py m

w 2

N m

2. 2.1

( , , )r z

1 2( , , )

r zU U U U

=

( 1)

( , , )r z

P P P P

=

(2)- 3 4

0U =

(3)21( )dU U U U U

dt

+ = +

(4)


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(Fluctuation) 5 6

U U u= +

(5)

P P p= +

(6)4 5 - 7 8

)( 0U u+ =

(7)

{ }2

)) )

) )

(( (

1( (

U uU u U u

U u U u

d

dt

+ + +

+ +

+

= +

(8)

y+ (wall boundedflow) y + 9 10

Py u y

+= (9)

wu

= (10)

2.2

1

3998.2 kg m =

0.001003 k g m s =

(RAM) (CPU)

1

45 r z 23,200 40 40 100 (Hexahedral) (Structure Grid) 2,320,000 2


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y + 1 1y + = 400

5

1.27 10 m

51.0 10 m 2 r z

3.

ANSYS 12.0 (Pressure basedsolver) - (Pressure-Velocity Coupling) PISO

2 r

(Discretization) PRESTO Bounded Central

Differencing Large Eddy Simulation (LES)

SGS Smagorinsky - Lilly 3

1

( )0,r z

U U U U r

= = = =

(8)

2

( )0r z

U U U U

= = = =

(9)

(No-slip condition)

3

( )0r zU U U U = = = =

(10)

4

1P atm=

(11)

5 Periodic

3

4.

(residuals) - 10 -3

r z

(transient) 4

90 r z

4

32

1

4

3

5


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-0.001, -0.002, -0.003, -0.004, -0.005 5

4 z 90

5 r 90

4.1 -

290 4 5

r z 6

6

- 2 4 7 8

1 3

6 r z 290

7 r z 290


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8

4.2

320 2 4 9

10 shift and reflect 11 4

1 3

5.

9 r z 320

10 r z 320

11


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90 290

290 320 320

6.

(.) (DMIE)

7.

[1] G.I.Taylor,(1923). Stability of a viscous liquidcontained between two rotating cylinders. Philos.

Trans. R. Soc. London, Ser. A, 223,289 343.

[2] S.T.Wereley and R.M.Lueptow. (1998). Spatio-

temporal character of non-wavy and wavy Taylor-

Couette flow,J. Fluid Mech, Vol. 364, pp. 5980.

[3] A.Akonur and R.M.Lueptow.(2003). Three-

dimensional velocity field for wavy TaylorCouetteflow,Phys. Fluids,Vol. 15, April 2003, No. 4.

[4] P.S.Marcus.(1984) Simulation of Taylor

Couette flow.Part 2 Numerical results for wavy

cortex flow with one traveling wave. J.Fluid

Mech.Vol.1466,pp.65-113

[5] D.Pirr and M.Quadrio.(2008). Direct

numerical simulation of turbulent TaylorCouette

flow, European Journal of Mechanics B/Fluids, vol.

27, pp. 552566.

[6] O.Czarny, E.Serre, P.Bontoux and

R.M.Lueptow.(2001). Identification of complex

flows in TaylorCouette counter-rotating cavities,

C. R. Acad. Sci. Paris, t. 329, Srie II b, pp. 727

733.

[7] O.Czarny, E.Serre, P.Bontoux and

R.M.Lueptow (2002). Spiral and Wavy Vortex

Flows in Short Counter-Rotating TaylorCouette

Cells, Theoretical and ComputationalFluidDynamics, Vol. 16, pp.5 15

[8] J. Y. Hwang and K. S. Yang. (2004).

Numerical study of TaylorCouette flow with an

axial flow, Computers &FluidsVol. 33, pp. 97

118

[9] I. Raspo, E. Crespo del Arco. (2003).

Instability in a rotating channelcavity system with

an axial through-flow, International Journal of Heat

and Fluid FlowVol. 24, pp. 41 53.

[10] L. A. Bordag, O. G. Chkhetiani, M.Frohner

and V. Myrnyy. (2005). Interaction of a rotational

motion and an axial flow in small geometries for a

TaylorCouette problem, Fluids and Structures,Vol. 20, pp. 621 641

[11] S.Kumar, J.M.Bergada and J.Watton, (2009).

Axial piston pump grooved slipper analysis by

CFD simulation of three-dimensional NVS

equation in cylindrical coordinates, Computers &

Fluids, vol. 38, pp. 648 663.

[tanate matum] identification of critical parameters of flows in multi-narrow gap coaxial short...

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