On Onset of Chaotic Convection in Couple-Stress Fluids

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)359-370
Number of pages12
JournalMathematical Modelling and Analysis
Volume19
Issue number3
DOIs
Publication statusPublished - 2014

Fingerprint

Couple Stress
Convection
Fluid
Fluids
Runge Kutta methods
Runge-Kutta Methods
Galerkin
Fourth Order
Nonlinear systems
Dynamical systems
Nonlinear Systems
Dynamical system
Approximation
Model

Keywords

  • chaotic convection
  • couple-stress fluid
  • Lorenz equations

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

Cite this

On Onset of Chaotic Convection in Couple-Stress Fluids. / Jawdat, Jadallah M.; Hashim, Ishak; Bhadauria, Beer S.; Momani, Shaher.

In: Mathematical Modelling and Analysis, Vol. 19, No. 3, 2014, p. 359-370.

Research output: Contribution to journalArticle

Jawdat, Jadallah M. ; Hashim, Ishak ; Bhadauria, Beer S. ; Momani, Shaher. / On Onset of Chaotic Convection in Couple-Stress Fluids. In: Mathematical Modelling and Analysis. 2014 ; Vol. 19, No. 3. pp. 359-370.
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