Vertical free convective boundary-layer flow in a porous medium using a thermal nonequilibrium model: Elliptical effects

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 54, Issue 3, 2003, Pages 437-448

  Rees, D A S ^a  

^a University of Bath   (United Kingdom)

Author keywords

Boundary layer; Local thermal nonequilibrium; Numerical simulation; Porous media

Indexed keywords

EID: 0038068845     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-003-0032-4     Document Type: Article

References (9)

1. Cheng, P., Minkowycz, W.J., Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82 (1977), 2040-2044.
2. Rees, D.A.S., Pop, I., Vertical free convective boundary-layer flow in a porous medium using a thermal nonequilibrium model, Journal of Porous Media 3 (2000), 31-44.
3. Rees, D.A.S., Bassom, A.P., Some exact solutions for free convective flows over heated semi-infinite surfaces in porous media, Int. J. Heat Mass Transfer 34 (1991), 1564-1567.
4. Rees, D.A.S., Nonlinear wave stability of vertical thermal boundary layer flow in a porous medium, J. Appl. Math. Phys. 44 (1993), 306-313.
5. Lewis, S., Bassom, A.P., Rees, D.A.S., The stability of vertical thermal boundary layer flow in a porous medium, Eur. J. Mech. B: Fluids 14 (1995), 395-408.
6. Nield, D.A., Bejan, A., Convection in Porous Media (2nd ed.). Springer, New York, 1998.
7. Arakawa, A., Computational design of long-term numerical integration of the equations of fluid motion: I. Two-dimensional incompressible flow, J. Comp. Phys. 1 (1966), 119-143.
8. Brandt, A., 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, 1984.
9. Rees, D.A.S., Bassom, A.P., The nonlinear nonparallel wave instability of free convection induced by a horizontal heated surface in fluid-saturated porous media, Journal of Fluid Mechanics 253 (1993), 267-296.