Low Prandtl number chaotic convection in porous media with uniform internal heat generation

✍ Scribed by J.M. Jawdat; I. Hashim

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 1011 KB
• Volume: 37
• Category: Article
• ISSN: 0735-1933
• DOI: 10.1016/j.icheatmasstransfer.2010.03.011

✦ Synopsis

Using the theory of dynamical systems, this study investigated the effects of a uniform internal heat generation on chaotic behaviour in thermal convection in a fluid-saturated porous layer subject to gravity and heated from below for low Prandtl number. A low-dimensional, Lorenz-like model was obtained using Galerkin truncated approximation. The fourth-order Runge-Kutta method was employed to solve the nonlinear system. We found that there is an inverse proportional relation between the level of internal heat G and the scaled Rayleigh number R, and consequently the porous media gravity-related Rayleigh number Ra.