MHD flow of a micropolar fluid towards a vertical permeable plate with prescribed surface heat flux

Nor Azizah Yacob, Anuar Mohd Ishak

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The problem of a steady mixed convection stagnation point flow towards a permeable vertical plate with prescribed surface heat flux immersed in an incompressible micropolar fluid is studied numerically. The governing partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation, before being solved numerically by a finite-difference scheme known as the Keller-box method and the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter, buoyancy parameter, suction/injection parameter and the Prandtl number on the fluid flow and heat transfer characteristics are discussed. It is found that dual solutions exist for both assisting and opposing flows. The skin friction coefficient and the local Nusselt number increase in the presence of suction and magnetic field. Moreover, suction as well as fluids with larger Prandtl number widens the range of the buoyancy parameter for which the solution exists.

Original languageEnglish
Pages (from-to)2291-2297
Number of pages7
JournalChemical Engineering Research and Design
Volume89
Issue number11
DOIs
Publication statusPublished - Nov 2011

Fingerprint

Prandtl number
Magnetohydrodynamics
Buoyancy
Heat flux
Mixed convection
Fluids
Runge Kutta methods
Skin friction
Nusselt number
Ordinary differential equations
Partial differential equations
Flow of fluids
Magnetic fields
Heat transfer

Keywords

  • Dual solutions
  • Magnetohydrodynamic
  • Micropolar fluid
  • Suction/injection

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)

Cite this

MHD flow of a micropolar fluid towards a vertical permeable plate with prescribed surface heat flux. / Yacob, Nor Azizah; Mohd Ishak, Anuar.

In: Chemical Engineering Research and Design, Vol. 89, No. 11, 11.2011, p. 2291-2297.

Research output: Contribution to journalArticle

@article{589a55d2fc7b4918859d17f180ca1f23,
title = "MHD flow of a micropolar fluid towards a vertical permeable plate with prescribed surface heat flux",
abstract = "The problem of a steady mixed convection stagnation point flow towards a permeable vertical plate with prescribed surface heat flux immersed in an incompressible micropolar fluid is studied numerically. The governing partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation, before being solved numerically by a finite-difference scheme known as the Keller-box method and the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter, buoyancy parameter, suction/injection parameter and the Prandtl number on the fluid flow and heat transfer characteristics are discussed. It is found that dual solutions exist for both assisting and opposing flows. The skin friction coefficient and the local Nusselt number increase in the presence of suction and magnetic field. Moreover, suction as well as fluids with larger Prandtl number widens the range of the buoyancy parameter for which the solution exists.",
keywords = "Dual solutions, Magnetohydrodynamic, Micropolar fluid, Suction/injection",
author = "Yacob, {Nor Azizah} and {Mohd Ishak}, Anuar",
year = "2011",
month = "11",
doi = "10.1016/j.cherd.2011.03.011",
language = "English",
volume = "89",
pages = "2291--2297",
journal = "Chemical Engineering Research and Design",
issn = "0263-8762",
publisher = "Institution of Chemical Engineers",
number = "11",

}

TY - JOUR

T1 - MHD flow of a micropolar fluid towards a vertical permeable plate with prescribed surface heat flux

AU - Yacob, Nor Azizah

AU - Mohd Ishak, Anuar

PY - 2011/11

Y1 - 2011/11

N2 - The problem of a steady mixed convection stagnation point flow towards a permeable vertical plate with prescribed surface heat flux immersed in an incompressible micropolar fluid is studied numerically. The governing partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation, before being solved numerically by a finite-difference scheme known as the Keller-box method and the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter, buoyancy parameter, suction/injection parameter and the Prandtl number on the fluid flow and heat transfer characteristics are discussed. It is found that dual solutions exist for both assisting and opposing flows. The skin friction coefficient and the local Nusselt number increase in the presence of suction and magnetic field. Moreover, suction as well as fluids with larger Prandtl number widens the range of the buoyancy parameter for which the solution exists.

AB - The problem of a steady mixed convection stagnation point flow towards a permeable vertical plate with prescribed surface heat flux immersed in an incompressible micropolar fluid is studied numerically. The governing partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation, before being solved numerically by a finite-difference scheme known as the Keller-box method and the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter, buoyancy parameter, suction/injection parameter and the Prandtl number on the fluid flow and heat transfer characteristics are discussed. It is found that dual solutions exist for both assisting and opposing flows. The skin friction coefficient and the local Nusselt number increase in the presence of suction and magnetic field. Moreover, suction as well as fluids with larger Prandtl number widens the range of the buoyancy parameter for which the solution exists.

KW - Dual solutions

KW - Magnetohydrodynamic

KW - Micropolar fluid

KW - Suction/injection

UR - http://www.scopus.com/inward/record.url?scp=80053466681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053466681&partnerID=8YFLogxK

U2 - 10.1016/j.cherd.2011.03.011

DO - 10.1016/j.cherd.2011.03.011

M3 - Article

AN - SCOPUS:80053466681

VL - 89

SP - 2291

EP - 2297

JO - Chemical Engineering Research and Design

JF - Chemical Engineering Research and Design

SN - 0263-8762

IS - 11

ER -