Effects of magnetic field and nonlinear temperature profile on marangoni convection in micropolar fluid

M. N. Mahmud, Ishak Hashim, R. Idris

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term Galerkin technique. The critical conditions for the onset of convection have been presented graphically.

Original languageEnglish
Article number748794
JournalDifferential Equations and Nonlinear Mechanics
Volume2009
DOIs
Publication statusPublished - 2009

Fingerprint

Marangoni Convection
Micropolar Fluid
Temperature Profile
Convection
Magnetic Field
Magnetic fields
Fluids
Galerkin
Closed-form
Horizontal
Vertical
Valid
Temperature
Polynomial
Term
Polynomials
Graphics

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mechanics of Materials

Cite this

Effects of magnetic field and nonlinear temperature profile on marangoni convection in micropolar fluid. / Mahmud, M. N.; Hashim, Ishak; Idris, R.

In: Differential Equations and Nonlinear Mechanics, Vol. 2009, 748794, 2009.

Research output: Contribution to journalArticle

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