The linear stability of a developing thermal front in a porous medium: The effect of local thermal non-equilibrium

International Journal of Heat and Mass Transfer

Volumn 50, Issue 15-16, 2007, Pages 3090-3099

  Nouri Borujerdi, Ali ^a   Noghrehabadi, Amin R ^a,b   Rees, D Andrew S ^b  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b University of Bath   (United Kingdom)

Author keywords

Boundary layer; Convective instabilities; Linear theory; Local thermal non equilibrium; Porous media; Thermal front

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYERS; HEAT TRANSFER COEFFICIENTS; NUMERICAL METHODS; SYSTEM STABILITY;

CONVECTIVE INSTABILITIES; LINEAR THEORY; LOCAL THERMAL NON-EQUILIBRIUM; THERMAL FRONT;

POROUS MATERIALS;

APPROXIMATION THEORY; BOUNDARY LAYERS; HEAT TRANSFER COEFFICIENTS; NUMERICAL METHODS; POROUS MATERIALS; SYSTEM STABILITY;

EID: 34247474238     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.01.005     Document Type: Article

References (25)

1. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids (1986), Oxford University Press
2. Socolow R.H. Can we bury global warming?. Scientific American July Issue (2005)
3. Morton B.R. On the equilibrium of a stratified layer of fluid. J. Appl. Math. 10 (1957) 433-447
4. Foster T.D. Stability of homogeneous fluid cooled uniformly from above. Phys. Fluids 8 (1965) 1249-1257
5. Hwang I.G., and Choi C.K. An analysis of the onset of compositional convection in a binary mixture solidified from below. J. Cryst. Growth 162 (1996) 182-189
6. Choi C.K., Kang K.H., Kim M.C., and Hwang I.G. Convective instabilities and transport properties in horizontal fluid layers. Korean J. Chem. Eng. 15 (1998) 192-198
7. Kim M.C., Choi K.H., and Choi C.K. Onset of thermal convection in an initially stably stratified fluid layer. Int. J. Heat Mass Transfer 42 (1999) 4253-4258
8. Kim M.C., Chung T.J., and Choi C.K. The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder. Theor. Comput. Fluid Dyn. 18 (2004) 105-114
9. Bassom A.P., and Blennerhassett P.J. Impulsively generated convection in a semi-infinite layer above heated flat plate. Quart. J. Mech. Appl. Math. 55 4 (2002) 573-595
10. Goldstein R.J., and Volino R.J. Onset and development of natural convection above a suddenly heated horizontal surface. Trans. ASME J. Heat Transfer 117 (1995) 808-821
11. Kaviany M. Thermal convective instabilities in a porous medium. Trans. ASME J. Heat Transfer 106 (1984) 137-142
12. Kim M.C., Kim S., and Choi C.K. Convective instability in fluid-saturated porous layer under uniform volumetric heat sources. Int. Commun. Heat Mass Transfer 29 7 (2002) 919-928
13. Kim M.C., Kim S., Chung B.J., and Choi C.K. Convective instability in a horizontal porous layer saturated with oil and a layer of gas underlying it. Int. Commun. Heat Mass Transfer 30 2 (2003) 225-234
14. Kim M.C., and Kim S. Onset of convective instability in a fluid-saturated porous layer subjected to time-dependent heating. Int. J. Heat Mass Transfer 32 (2005) 416-424
15. Riaz A., Hesse M., Tchelepi H.A., and Orr F.M. Onset of convection in a gravitationally unstable diffusive boundary layer in porous media. J. Fluid Mech. 548 (2006) 87-111
16. A.S. Selim, D.A.S. Rees, The stability of a developing thermal front in a porous medium. I. Linear theory, J. Porous Media, in press.
17. Nield D.A., and Bejan A. Convection in Porous Media. third ed. (2006), Springer Verlag, New York
18. Rees D.A.S., and Pop I. Local thermal nonequilibrium in porous medium convection. Transport Phenomena in Porous Media III (2005), Pergamon 147-173
19. D.A.S. Rees, Microscopic modelling of the two-temperature model for conduction in periodic and heterogeneous media Invited talk at the meeting 'Computation of flow and transport in heterogeneous media' held at the University of Bath, June 19/20 2006, in preparation.
20. Rees D.A.S. Thermal boundary layer instabilities in porous media: a critical review. In: Ingham D.B., and Pop I. (Eds). Transport Phenomena in Porous Media III (1998), Pergamon 233-259
21. A. Nouri-Borujerdi, A.R. Noghrehabadi, D.A.S. Rees, The effect of local thermal non-equilibrium on impulsive conduction in porous media 2007, submitted for publication.
22. Keller H.B., and Cebeci T. Accurate numerical methods for boundary layer flows 1. Two dimensional flows. Proc. Int. Conf. Numerical Methods in Fluid Dynamics. Lecture Notes in Physics (1991), Springer, New York
23. Banu N., and Rees D.A.S. The onset of Darcy-Benard convection using a thermal nonequilibrium model. Int. J. Heat Mass Transfer 45 (2002) 2221-2228
24. Marafie A., and Vafai K. Analysis of non-Darcian effects on temperature differentials in porous media. Int. J. Heat Mass Transfer 44 (2001) 4401-4411
25. Minkowycz W.J., Haji-Sheikh A., and Vafai K. On departure from local thermal equilibrium in porous media due to a rapidly changing heat source. Int. J. Heat Mass Transfer 42 (1999) 2272-2285