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Received May 7, 2008
Accepted September 3, 2008
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The spatiotemporal instability on mixed convection in porous media
R&D center, Samsung Electro-Mechanics, Suwon 443-370, Korea 1Department of Chemical Engineering, Jeju National University, Jeju 690-756, Korea 2School of Chemical and Biological Engineering, Seoul National University, Seoul 151-744, Korea
camus1@snu.ac.kr
Korean Journal of Chemical Engineering, March 2009, 26(2), 332-338(7), 10.1007/s11814-009-0056-3
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Abstract
The absolute and convective instability on mixed convection in porous media is examined, and the phase transition from the oscillatory wave motion to the stationary vortex one is observed. Based on linear and weakly nonlinear analyses, the critical conditions to mark the onset of traveling transverse rolls are analytically obtained for small Peclet numbers. The flow change from transverse wave to longitudinal vortex is reproduced by numerical simulation. These criteria made good agreement with the available experiment data.
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Park JH, Chung TJ, Choi CK, Kim MC, AIChE J., 52(8), 2677 (2006)
Choi CK, Chung TJ, Kim MC, Int. J. Heat Mass Transf., 47(12-13), 2629 (2004)
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Dufour F, Neel MC, Phys. Fluids, 10, 2198 (1998)
Muller HW, Lucke M, Kamps M, Phys. Rev. A, 45, 3714 (1992)
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Ouazzani MT, Caltagirone JP, Meyer G, Mojtabi A, Int. J. Heat Mass Transfer, 32, 261 (1989)
Joseph DD, Stability of fluid motions I and II, Springer-Verlag, New York (1976)
Gill AE, J. Fluid Mech., 35, 545 (1969)
Huerre P, Propagation in system far from equilibrium, edited by Wesfreid JE, Brand HR, Manneville P, Albinet G, Boccara N, 340 (1988)
Newell AC, Whitehead JA, J. Fluid Mech., 38, 279 (1969)
Segel L, J. Fluid Mech., 38, 203 (1969)
