Journal of Fluid Mechanics

Transient convection in a porous medium

J. W.  Elder a1
a1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Article author query
elder jw   [Google Scholar] 


Laboratory and numerical experiments on non-steady convective flows in a porous medium are reported. The main objective is to note the detailed comparison found between the time-dependent solutions and the time-like development of the iterative solutions of the steady equations originally pointed out by Garabedian (1956) and others.

Two flows are chosen for study. The first is the flow which develops when a blob of hot fluid is released at the base of a porous slab. The second is the flow which develops when a portion of the base of a porous slab is suddenly heated. The former flow is very simple and ideally suited for establishing the numerical scheme. The latter flow, however, produces several unexpected features. The gross features of the time development, when the motion is strongly non-linear, show an alternation between periods of slow gradual adjustment and periods of rapid change.

(Published Online March 28 2006)
(Received October 25 1965)
(Revised July 5 1966)