MODELISATION DE L’ECOULEMENT TRANSITOIRE D’UN GAZ RAREFIE ENTRE DEUX CYLINDRES COAXIAUX.
Mots-clés :
Simulation, gaz raréfié, modèle cinétique de Shakhov, écoulement de transition, haute températureRésumé
Ce travail porte sur l’étude numérique de l'écoulement instationnaire ainsi que le transfert de chaleur à travers un gaz raréfié confiné entre deux cylindres coaxiaux, simulant un filament de tungstène chauffé et une enveloppe cylindrique. L’intervalle de la température du gaz (N2) s’étend de 300K à l’enveloppe de l’enceinte jusqu’aux 2700K au filament de tungstène. Ces températures engendrent de grands gradients de température dans la région du cylindre interne. Une large gamme du degré de raréfaction du gaz a été considérée allant du régime de transition jusqu’au régime hydrodynamique. La modélisation a été effectuée par une approche cinétique basée sur l'utilisation de la forme non linéaire du modèle cinétique de Shakhov. Nous présentons les résultats des calculs des grandeurs macroscopiques entre les deux cylindres.
Téléchargements
Références
S.Pantazis and D. Valougeorgis, "Heat transfer through rarefied gases between coaxial cylindrical surfaces with arbitrary temperature difference", Eur. J. Mech. B/Fluid 29, 494, 2010.
P.J. Sun, J.Y. Wu, P. Zhang, L. Xu, M.L. Jiang. “Experimental study of the influences of degraded vacuum on multilayer insulation blankets”. Cryogenics 49, 2009, pages 719-726.
H.Chalabi et al, "Experimental analysis of heat transfer between a heated wire and a rarefied gas in an annular gap with high diameter ratio", J.Phys: Conf, 2012.
R. Devonshire, D.Hong, "Translational and vibrational contributions to the thermal conductivity of molecular gases", Chem. Phys. Letters, 243, 1995.
D. R. Willis, "Heat Transfer and Shear between Coaxial Cylinders for Large Knudsen Numbers", Phys. Fluids, vol. 8, 1965.
C.-L. Su, "Heat Conduction in a Rarefied Gas between Concentric Cylinders", Phys.Fluids, vol. 11, 1968.
D. G. M. Anderson, "On the steady Krook kinetic equation: Part 2", Journal of Plasma Physics, vol. 1, 1966.
F. M. Sharipov and G. M. Kremer, "On the frame dependence of constitutive equations.I.Heat transfer through a rarefied gas between two rotating cylinders", Continuum Mechanics and Thermodynamics, vol. 7, 1995.
F. M. Sharipov and G. M. Kremer, "Heat conduction through a rarefied gas between two rotating cylinders at small temperature difference", ZAMP Zeitschrift fur ange wandte Mathematik und Physik, vol. 46, 1995.
F. Sharipov and G. Bertoldo, "Heat transfer through a rarefied gas confined between two coaxial cylinders with high radius ratio", Journal of Vacuum Science Technology A: Vacuum, Surfaces, and Films, vol. 24, 2006.
W. Jitschin and S. Ludwig, "Dynamical behaviour of the Pirani sensor", Vacuum, vol.75, 2004.
D. C. Wadsworth, D. A. Erwin, and E. P. Muntz, "Transient motion of a confined rarefied gas due to wall heating or cooling", Journal of Fluid Mechanics, vol. 248, 1993.
A. Alexeenko, D. Fedosov, S. Gimelshein, D. Levin, and R. Collins, "Transient Heat Transfer and Gas Flow in a MEMS-Based Thruster", Journal of Micro electromechanical Systems, vol. 15, 2006.
F.Sharipov,"Transient flow of rarefied gas through a short tube", Vacuum, vol. 90, 2013.
I.Graur, MT.Ho, and M.Wuest, "Simulation of the transient heat transfer between two coaxial cylinders", J. Vac. Sci. Technol, A31, 061603, 2013.
F.Sharipov, "Application of the Cercignani-Lampis scat- tering kernel to calculations of rarefied gas flows .II. Slip and jump coefficients", Eur. J. Mech. B / Fluids, 2003.
Correa S.M., Int. J. of Heat and Mass Trans., 30, 1987, 663-672.
E. M. Shakhov, "Generalization of the Krook kinetic relaxation equation", Fluid Dyn, 1968.
I. N. Larina and V. A. Rykov, Comput. Math. Phys. 38, 1335, 1998.
E. M. Shakhov and V. A. Titarev, “Numerical study of the generalized cylindrical Couette flow of rarefied gas”, Eur. J. Mech. B/Fluid 28, 152, 2009.
H. Yamaguchi et al, "Investigation on heat transfer between two coaxial cylinders for measurement of thermal accommodation coefficient", Phys. Fluids 24, 062002, 2012.
