- advances in boiling simulations using interface tracking...
TRANSCRIPT
![Page 1: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/1.jpg)
Alexandre GuionProf. J. Buongiorno
Prof. N. TodreasProf. E. Baglietto
Prof. S. Zaleski
Massachusetts Institute of Technology November 10, 2014
Advances in boiling simulations usinginterface tracking methods and
microscale modeling
![Page 2: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/2.jpg)
THE NEED FOR PREDICTIVE SIMULATIONS
NUCLEARENGINEERING
Materials
ThermalHy-
draulics
ReactorPhysics
Fuel
Alexandre Guion Advances in Boiling Simulations 1 / 21
![Page 3: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/3.jpg)
THE NEED FOR PREDICTIVE SIMULATIONS
NUCLEARENGINEERING
Materials
ThermalHy-
draulics
ReactorPhysics
Fuel
Alexandre Guion Advances in Boiling Simulations 1 / 21
![Page 4: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/4.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 2 / 21
![Page 5: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/5.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 3 / 21
![Page 6: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/6.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 4 / 21
![Page 7: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/7.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 5 / 21
![Page 8: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/8.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 6 / 21
![Page 9: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/9.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 7 / 21
![Page 10: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/10.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 8 / 21
![Page 11: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/11.jpg)
BOILING IS COMPLICATED BY THE MICROLAYER
†S. Jung, H. Kim, Simultaneous measurements of liquid-vapour phase and temperature
distributions on boiling surface with synchronized infrared thermometry and total internalreflection techniques, NURETH-15 Italy, May 12-17, 2013
Alexandre Guion Advances in Boiling Simulations 9 / 21
![Page 12: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/12.jpg)
MICROLAYER FORMS, THEN EVAPORATES
H. Kim, J. Buongiorno, Detection of Liquid-Vapor- Solid Triple Contact Line inTwo-Phase Heat Transfer Phenomena Using High-Speed Infra-Red Thermometry, Int. J.Multiphase Flow, 37, 166-172 (2011)
Alexandre Guion Advances in Boiling Simulations 10 / 21
![Page 13: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/13.jpg)
MICROLAYER FORMS, THEN EVAPORATES
H. Kim, J. Buongiorno, Detection of Liquid-Vapor- Solid Triple Contact Line inTwo-Phase Heat Transfer Phenomena Using High-Speed Infra-Red Thermometry, Int. J.Multiphase Flow, 37, 166-172 (2011)
Alexandre Guion Advances in Boiling Simulations 10 / 21
![Page 14: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/14.jpg)
MICROLAYER FORMS, THEN EVAPORATES
H. Kim, J. Buongiorno, Detection of Liquid-Vapor- Solid Triple Contact Line inTwo-Phase Heat Transfer Phenomena Using High-Speed Infra-Red Thermometry, Int. J.Multiphase Flow, 37, 166-172 (2011)
Alexandre Guion Advances in Boiling Simulations 10 / 21
![Page 15: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/15.jpg)
MICROLAYER EVAPORATION MODEL
∂tδ = − klρfhfg
Tw − Tsatδ
(1)
I Complements existing literature1. static models∗†‡
2. evaporation models§
I Derived from first principles ¶
∗C. Kunkelmann and P. Stephan, Numerical simulation of the transient heat transfer
during nucleate boiling of refrigerant HFE-7100, Int. J. Refrigeration, 33(7), 1221-1228 (2010).†G. Tryggvason, S. Thomas, and J. Lu, Direct Numerical Simulations of Nucleate Boiling,
IMECE2008-67444, Proceedings of IMECE-2008, 2008 ASME International MechanicalEngineering Congress and Exposition Boston, Massachusetts, USA, October 31-November 6,2008‡V. K. Dhir, Simulation of boiling how far we have come!, ECI International Conference
on Boiling Heat Transfer, Florianopolis-SC-Brazil, 3-7 May 2009.§P. Delgoshaei, Microscale heat transfer measurements during subcooled pool boiling of
pentane: effect of fluid properties and bubble dynamics, Ph.D Thesis, 2009¶
A. Guion, D. Langewisch, J. Buongiorno, Dynamics of the liquid microlayer underneath avapor bubble growing at a heated wall, Proceedings of the ASME Summer Heat TransferConference HT2013 July 14-19, 2013, Minneapolis, MN, USA.
Alexandre Guion Advances in Boiling Simulations 11 / 21
![Page 16: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/16.jpg)
MICROLAYER EVAPORATION MODEL
∂tδ = − klρfhfg
Tw − Tsatδ
(1)
I Complements existing literature1. static models∗†‡
2. evaporation models§
I Derived from first principles ¶
∗C. Kunkelmann and P. Stephan, Numerical simulation of the transient heat transfer
during nucleate boiling of refrigerant HFE-7100, Int. J. Refrigeration, 33(7), 1221-1228 (2010).†G. Tryggvason, S. Thomas, and J. Lu, Direct Numerical Simulations of Nucleate Boiling,
IMECE2008-67444, Proceedings of IMECE-2008, 2008 ASME International MechanicalEngineering Congress and Exposition Boston, Massachusetts, USA, October 31-November 6,2008‡V. K. Dhir, Simulation of boiling how far we have come!, ECI International Conference
on Boiling Heat Transfer, Florianopolis-SC-Brazil, 3-7 May 2009.§P. Delgoshaei, Microscale heat transfer measurements during subcooled pool boiling of
pentane: effect of fluid properties and bubble dynamics, Ph.D Thesis, 2009¶
A. Guion, D. Langewisch, J. Buongiorno, Dynamics of the liquid microlayer underneath avapor bubble growing at a heated wall, Proceedings of the ASME Summer Heat TransferConference HT2013 July 14-19, 2013, Minneapolis, MN, USA.
Alexandre Guion Advances in Boiling Simulations 11 / 21
![Page 17: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/17.jpg)
MICROLAYER EVAPORATION MODEL
∂tδ = − klρfhfg
Tw − Tsatδ
(1)
I Complements existing literature1. static models∗†‡
2. evaporation models§
I Derived from first principles ¶
∗C. Kunkelmann and P. Stephan, Numerical simulation of the transient heat transfer
during nucleate boiling of refrigerant HFE-7100, Int. J. Refrigeration, 33(7), 1221-1228 (2010).†G. Tryggvason, S. Thomas, and J. Lu, Direct Numerical Simulations of Nucleate Boiling,
IMECE2008-67444, Proceedings of IMECE-2008, 2008 ASME International MechanicalEngineering Congress and Exposition Boston, Massachusetts, USA, October 31-November 6,2008‡V. K. Dhir, Simulation of boiling how far we have come!, ECI International Conference
on Boiling Heat Transfer, Florianopolis-SC-Brazil, 3-7 May 2009.§P. Delgoshaei, Microscale heat transfer measurements during subcooled pool boiling of
pentane: effect of fluid properties and bubble dynamics, Ph.D Thesis, 2009¶
A. Guion, D. Langewisch, J. Buongiorno, Dynamics of the liquid microlayer underneath avapor bubble growing at a heated wall, Proceedings of the ASME Summer Heat TransferConference HT2013 July 14-19, 2013, Minneapolis, MN, USA.
Alexandre Guion Advances in Boiling Simulations 11 / 21
![Page 18: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/18.jpg)
MICROLAYER EVAPORATION MODEL
∂tδ = − klρfhfg
Tw − Tsatδ
(1)
I Complements existing literature1. static models∗†‡
2. evaporation models§
I Derived from first principles ¶
∗C. Kunkelmann and P. Stephan, Numerical simulation of the transient heat transfer
during nucleate boiling of refrigerant HFE-7100, Int. J. Refrigeration, 33(7), 1221-1228 (2010).†G. Tryggvason, S. Thomas, and J. Lu, Direct Numerical Simulations of Nucleate Boiling,
IMECE2008-67444, Proceedings of IMECE-2008, 2008 ASME International MechanicalEngineering Congress and Exposition Boston, Massachusetts, USA, October 31-November 6,2008‡V. K. Dhir, Simulation of boiling how far we have come!, ECI International Conference
on Boiling Heat Transfer, Florianopolis-SC-Brazil, 3-7 May 2009.§P. Delgoshaei, Microscale heat transfer measurements during subcooled pool boiling of
pentane: effect of fluid properties and bubble dynamics, Ph.D Thesis, 2009¶
A. Guion, D. Langewisch, J. Buongiorno, Dynamics of the liquid microlayer underneath avapor bubble growing at a heated wall, Proceedings of the ASME Summer Heat TransferConference HT2013 July 14-19, 2013, Minneapolis, MN, USA.
Alexandre Guion Advances in Boiling Simulations 11 / 21
![Page 19: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/19.jpg)
MODEL CAPTURES CONSISTENT DYNAMICS
Alexandre Guion Advances in Boiling Simulations 12 / 21
![Page 20: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/20.jpg)
GROWTH RATE DEPENDS ON INITIAL CONDITION
Alexandre Guion Advances in Boiling Simulations 13 / 21
![Page 21: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/21.jpg)
THE INITIAL SHAPE IS NOT KNOWN
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Need for simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
3. inform dynamics of microlayer formation
DETERMINE INITIAL SHAPE, USING GERRIS
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Engineering Science, Vol 10,
1959
Alexandre Guion Advances in Boiling Simulations 14 / 21
![Page 22: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/22.jpg)
THE INITIAL SHAPE IS NOT KNOWN
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Need for simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
3. inform dynamics of microlayer formation
DETERMINE INITIAL SHAPE, USING GERRIS
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Engineering Science, Vol 10,
1959
Alexandre Guion Advances in Boiling Simulations 14 / 21
![Page 23: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/23.jpg)
THE INITIAL SHAPE IS NOT KNOWN
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Need for simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
3. inform dynamics of microlayer formation
DETERMINE INITIAL SHAPE, USING GERRIS
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Engineering Science, Vol 10,
1959
Alexandre Guion Advances in Boiling Simulations 14 / 21
![Page 24: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/24.jpg)
THE INITIAL SHAPE IS NOT KNOWN
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Need for simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
3. inform dynamics of microlayer formation
DETERMINE INITIAL SHAPE, USING GERRIS
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Engineering Science, Vol 10,
1959
Alexandre Guion Advances in Boiling Simulations 14 / 21
![Page 25: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/25.jpg)
REFERENCE GROWTH RATE: NO WALL (∞ LIQUID)
Rayleigh solution:
Ra(t) =
√2∆P
3ρL× t (2)
Ra∆PρL
∗The equivalent radius can be found by matching the simulated bubble volume with a
perfect hemisphere (half a sphere)
Alexandre Guion Advances in Boiling Simulations 15 / 21
![Page 26: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/26.jpg)
RESEARCH OBJECTIVE:INITIAL MICROLAYER SHAPE, USING GERRIS
vaporµv, ρv
solid (θ)Rb
liquidµl, ρl
liquidµl, ρl δ
∆P
Ub
Proot
δ = f ( µv, µl, ρv, ρl, ∆P , σ, θ, Rb, r )
Ub =
√2∆P
3ρlRe =
ρlUbRb
µlCa =
µlUb
σ
δ
Rb= f
(µv
µl,ρvρl,r
Rb, Re, Ca, θ
)
Alexandre Guion Advances in Boiling Simulations 16 / 21
![Page 27: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/27.jpg)
RESEARCH OBJECTIVE:INITIAL MICROLAYER SHAPE, USING GERRIS
vaporµv, ρv
solid (θ)Rb
liquidµl, ρl
liquidµl, ρl δ
∆P
Ub
Proot
δ = f ( µv, µl, ρv, ρl, ∆P , σ, θ, Rb, r )
Ub =
√2∆P
3ρlRe =
ρlUbRb
µlCa =
µlUb
σ
δ
Rb= f
(µv
µl,ρvρl,r
Rb, Re, Ca, θ
)
Alexandre Guion Advances in Boiling Simulations 16 / 21
![Page 28: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/28.jpg)
RESEARCH OBJECTIVE:INITIAL MICROLAYER SHAPE, USING GERRIS
vaporµv, ρv
solid (θ)Rb
liquidµl, ρl
liquidµl, ρl δ
∆P
Ub
Proot
δ = f ( µv, µl, ρv, ρl, ∆P , σ, θ, Rb, r )
Ub =
√2∆P
3ρlRe =
ρlUbRb
µlCa =
µlUb
σ
δ
Rb= f
(µv
µl,ρvρl,r
Rb, Re, Ca, θ
)
Alexandre Guion Advances in Boiling Simulations 16 / 21
![Page 29: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/29.jpg)
RESEARCH OBJECTIVE:INITIAL MICROLAYER SHAPE, USING GERRIS
vaporµv, ρv
solid (θ)Rb
liquidµl, ρl
liquidµl, ρl δ
∆P
Ub
Proot
δ = f ( µv, µl, ρv, ρl, ∆P , σ, θ, Rb, r )
Ub =
√2∆P
3ρlRe =
ρlUbRb
µlCa =
µlUb
σ
δ
Rb= f
(µv
µl,ρvρl,r
Rb, Re, Ca, θ
)
Alexandre Guion Advances in Boiling Simulations 16 / 21
![Page 30: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/30.jpg)
RESEARCH OBJECTIVE:INITIAL MICROLAYER SHAPE, USING GERRIS
vaporµv, ρv
solid (θ)Rb
liquidµl, ρl
liquidµl, ρl δ
∆P
Ub
Proot
δ = f ( µv, µl, ρv, ρl, ∆P , σ, θ, Rb, r )
Ub =
√2∆P
3ρlRe =
ρlUbRb
µlCa =
µlUb
σ
δ
Rb= f
(µv
µl,ρvρl,r
Rb, Re, Ca, θ
)Alexandre Guion Advances in Boiling Simulations 16 / 21
![Page 31: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/31.jpg)
SIMULATION OF INERTIAL BUBBLE GROWTH(r,z) domain: 120µm× 120µm, cavity size rc = 10µm
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
θ ∆P
RO
TA
TIO
N
OUTFLOW
OU
TF
LO
W
liq
vap
Alexandre Guion Advances in Boiling Simulations 17 / 21
![Page 32: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/32.jpg)
SIMULATION OF INERTIAL BUBBLE GROWTH(r,z) domain: 120µm× 120µm, cavity size rc = 10µm
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
θ ∆P
RO
TA
TIO
N
OUTFLOW
OU
TF
LO
W
liq
vap
Alexandre Guion Advances in Boiling Simulations 17 / 21
![Page 33: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/33.jpg)
SIMULATION OF INERTIAL BUBBLE GROWTH(r,z) domain: 120µm× 120µm, cavity size rc = 10µm
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
θ ∆P
RO
TA
TIO
N
OUTFLOWO
UT
FL
OW
liq
vap
Alexandre Guion Advances in Boiling Simulations 17 / 21
![Page 34: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/34.jpg)
SIMULATED BUBBLE BECOMES HEMISPHERICAL
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
Alexandre Guion Advances in Boiling Simulations 18 / 21
![Page 35: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/35.jpg)
SIMULATED GROWTH MATCHES REFERENCE
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
Alexandre Guion Advances in Boiling Simulations 19 / 21
![Page 36: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/36.jpg)
SIMULATED MICROLAYER PROFILES
Proot = 50 kPa, Re ∼ 200, Ca = 0.03, θ = 10◦
Alexandre Guion Advances in Boiling Simulations 20 / 21
![Page 37: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/37.jpg)
CONCLUSION: INITIAL MICROLAYER FORMATION
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
I Inform formation dynamics and initial shape
δ
Rb
= f
(µv
µl
,ρvρl,r
Rb
, Re, Ca, θ
)
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Eng. Science, Vol 10, 1959
Alexandre Guion Advances in Boiling Simulations 21 / 21
![Page 38: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/38.jpg)
CONCLUSION: INITIAL MICROLAYER FORMATION
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
I Inform formation dynamics and initial shape
δ
Rb
= f
(µv
µl
,ρvρl,r
Rb
, Re, Ca, θ
)
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Eng. Science, Vol 10, 1959
Alexandre Guion Advances in Boiling Simulations 21 / 21
![Page 39: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/39.jpg)
CONCLUSION: INITIAL MICROLAYER FORMATION
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
I Inform formation dynamics and initial shape
δ
Rb
= f
(µv
µl
,ρvρl,r
Rb
, Re, Ca, θ
)
∗V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysics
of vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Eng. Science, Vol 10, 1959
Alexandre Guion Advances in Boiling Simulations 21 / 21
![Page 40: - Advances in boiling simulations using interface tracking …gfs.sourceforge.net/papers/GUM2014/guion.pdf · 2014-11-25 · Advances in boiling simulations using interface tracking](https://reader033.vdocument.in/reader033/viewer/2022060311/5f0ab9447e708231d42d06f7/html5/thumbnails/40.jpg)
CONCLUSION: INITIAL MICROLAYER FORMATION
I Gap in literature1. limited experimental data (see length and time scales)2. limited models (overpredict initial thickness∗)
I Simulations of inertial bubble growth1. model mass transfer with an overpressure at interface2. compare simulation with reference growth†
I Inform formation dynamics and initial shape
δ
Rb
= f
(µv
µl
,ρvρl,r
Rb
, Re, Ca, θ
)∗
V.P.Carey.Liquid vapor phase change phenomena: an introduction to the thermophysicsof vaporization and condensation processes in heat transfer equipment. Taylor and Francis,New York, 2 edition, 2008†Scriven L.E., On the Dynamics of Phase Growth, Chemical Eng. Science, Vol 10, 1959
Alexandre Guion Advances in Boiling Simulations 21 / 21