On Onset of Chaotic Convection in Couple-Stress Fluids

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

doi:10.3846/13926292.2014.925005

On Onset of Chaotic Convection in Couple-Stress Fluids

Jadallah M. Jawdat
, Ishak Hashim
, Beer S. Bhadauria
, Shaher Momani

Universiti Kebangsaan Malaysia
Babasaheb Bhimrao Ambedkar University
University of Jordan
King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	359-370
Number of pages	12
Journal	Mathematical Modelling and Analysis
Volume	19
Issue number	3
DOIs	https://doi.org/10.3846/13926292.2014.925005
State	Published - May 2014
Externally published	Yes

Keywords

Lorenz equations
chaotic convection
couple-stress fluid

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10.3846/13926292.2014.925005

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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.",

keywords = "Lorenz equations, chaotic convection, couple-stress fluid",

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AU - Jawdat, Jadallah M.

AU - Hashim, Ishak

AU - Bhadauria, Beer S.

AU - Momani, Shaher

PY - 2014/5

Y1 - 2014/5

N2 - 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.

AB - 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.

KW - Lorenz equations

KW - chaotic convection

KW - couple-stress fluid

UR - https://www.scopus.com/pages/publications/84902660020

U2 - 10.3846/13926292.2014.925005

DO - 10.3846/13926292.2014.925005

M3 - Article

AN - SCOPUS:84902660020

SN - 1392-6292

VL - 19

SP - 359

EP - 370

JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

IS - 3

ER -

On Onset of Chaotic Convection in Couple-Stress Fluids

Abstract

Keywords

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