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Mathematical Problems in Engineering | Vol.2012, Issue. | 2017-05-29 | Pages

Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below

J. M. Jawdat,I. Hashim,S. Momani

Abstract

The effect of nanofluids on chaotic convection in a fluid layer heated from below was studied in this paper for low Prandtl number based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin-truncated approximations. The fourth-order Runge-Kutta method was employed to solve the nonlinear system. The results show that inhibition of chaotic convection can be observed when using nanofluids.

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Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below

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Keywords

prandtl galerkintruncated fourthorder rungekutta method of dynamical systems nonlinear system nanofluids lowdimensional lorenzlike model fluid inhibition of chaotic convection

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J. M. Jawdat,I. Hashim,S. Momani,.Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below. 2012 (),.

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