Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference12 articles.
1. Malkus, W. V. R. 1954 Proc. Roy. Soc. A,225,185.
2. Wooding, R. A. 1957 J. Fluid Mech. 2,273.
3. Wooding, R. A. 1963 J. Fluid Mech. 15,527.
4. Fox, L. 1962 Numerical Solutions of Ordinary and Partial Differential Equations .London:Pergamon Press.
5. HELE-SHAW, H. S. J. 1898 Trans. Inst. Nav. Arch. 40,21.
Cited by
293 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献