Vortex instability of the asymptotic dissipation profile in a porous medium

Transport in Porous Media

Volumn 61, Issue 1, 2005, Pages 1-14

  Rees, D A S ^a   Magyari, E ^b   Keller, B ^b  

^a University of Bath   (United Kingdom)

^b ETH ZURICH   (Switzerland)

Author keywords

Boundary layer; Free convection; Porous media; Viscous dissipation; Vortex instability

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY LAYER FLOW; HEAT CONVECTION; STREAM FLOW; VISCOSITY; VORTEX FLOW;

ASYMPTOTIC DISSIPATION PROFILE (ADP); NONLINEAR COMPUTATIONS; STEADY VORTICES; THERMOCONVECTIVE STABILITY; VORTEX INSTABILITY;

POROUS MATERIALS;

CONVECTION; POROUS MEDIUM; VORTEX;

CONVECTION; POROUS MEDIUM; VORTEX;

EID: 20444442430     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-004-2556-2     Document Type: Article

References (15)

1. A. Arakawa 1966 Computational design of long-term numerical integration of the equations of fluid motion: I. Two-dimensional incompressible flow J. Comp. Phys 1 119-143
2. A. Bejan 1995 Convection Heat Transfer (2nd Edition) John Wiley & Sons New York
3. Brandt A. (1984). Multigrid techniques: 1984 guide with applications to fluid dynamics. Lecture notes in C.F.D. at the Von Karman Institute for Fluid Dynamics. Published by G.M.D. mbH, Bonn as GMD-Studien 85.
4. P. Cheng and W.J. Minkowycz 1977 Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike J. Geophys. Res. 82 2040-2044
5. H.I. Ene and E. Sanchez-Palencia 1982 On thermal equation for flow in porous media Int. J. Eng. Sci. 20 623-630
6. A.E. Gill 1969 A proof that convection in a porous vertical slab is stable J. Fluid Mech. 35 545-547
7. D.B. Ingham I. Pop and P. Cheng 1990 Combined free and forced convection in a porous medium between two vertical walls with viscous dissipation Transp. Porous Media 5 381-398
8. S. Lewis A.P. Bassom and D.A.S. Rees 1995 The stability of vertical thermal boundary layer flow in porous medium Eur. J. Mech. B: Fluids 14 395-408
9. E. Magyari and B. Keller 2003 The opposing effect of viscous dissipation allows for a parallel free convection boundary-layer along a cold vertical flat plate Trans. Porous Media 51 227-230
10. A. Nakayama and I. Pop 1989 Free convection over a non-isothermal body in a porous medium with viscous dissipation Int. Comm. Heat Mass Transfer 16 173-180
11. D.A. Nield A. Bejan 1999 Convection in Porous Media (2nd edition) Springer New York
12. D.A.S. Rees 1993 Nonlinear wave stability of vertical thermal boundary layer flow in a porous medium J. Appl. Math. Phy. (Z.A.M.P.) 44 306-313
13. D.A.S. Rees and A.P. Bassom 1993 The nonlinear nonparallel wave instability of free convection induced by a horizontal heated surface in fluid-saturated porous media J. Fluid Mech. 253 267-296
14. D.A.S. Rees E. Magyari and B. Keller 2003 The development of the asymptotic viscous dissipation profile in a vertical free convective boundary layer in a porous medium Transp. Porous Media 53 347-355
15. D. A. S. Rees E. Magyari and B. Keller 2005 'Effect of viscous dissipation on the flow in fluid saturated porous media' in K. Vafai (Ed.) Handbook of Porous Media II Marcell-Dekker New York