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

J. M. Jawdat, Ishak Hashim

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)629-636
Number of pages8
JournalInternational Communications in Heat and Mass Transfer
Volume37
Issue number6
DOIs
Publication statusPublished - Jul 2010

Fingerprint

heat generation
Prandtl number
Heat generation
Rayleigh number
Porous materials
Gravitation
convection
gravitation
Runge-Kutta method
Runge Kutta methods
nonlinear systems
free convection
dynamical systems
Nonlinear systems
Dynamical systems
heat
Fluids
fluids
approximation
Hot Temperature

Keywords

  • Chaotic behaviour
  • Internal heat generation
  • Lorenz equations
  • Porous media

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Low Prandtl number chaotic convection in porous media with uniform internal heat generation. / Jawdat, J. M.; Hashim, Ishak.

In: International Communications in Heat and Mass Transfer, Vol. 37, No. 6, 07.2010, p. 629-636.

Research output: Contribution to journalArticle

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