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On Onset of Chaotic Convection in Couple-Stress Fluids

    Jadallah M. Jawdat Affiliation
    ; Ishak Hashim Affiliation
    ; Beer S. Bhadauria Affiliation
    ; Shaher Momani Affiliation

Abstract

The effect of couple-stress fluid field on chaotic convection in a fluid layer heated from below was studied in this paper 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 depends strongly on the couple-stress parameter.

Keyword : chaotic convection, couple-stress fluid, Lorenz equations

How to Cite
Jawdat, J. M., Hashim, I., Bhadauria, B. S., & Momani, S. (2014). On Onset of Chaotic Convection in Couple-Stress Fluids. Mathematical Modelling and Analysis, 19(3), 359-370. https://doi.org/10.3846/13926292.2014.925005
Published in Issue
Jun 1, 2014
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