Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet

Anuar Mohd Ishak, Roslinda Mohd. Nazar, Norihan M. Arifin, Ioan Pop

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

An analysis was done for the steady two-dimensional stagnation-point mixed convection flow of an incompressible viscous fluid towards a stretching vertical permeable sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed boundary layer equations were solved numerically for some values of the parameters considered using an implicit finite difference scheme known as the Keller-box method. Flow and heat transfer characteristics were analyzed and discussed. Both cases of the assisting and opposing flows were considered and it was found that dual solutions exist for the opposing flow, whereas a unique solution resulted for the assisting flow.

Original languageEnglish
Pages (from-to)217-226
Number of pages10
JournalMalaysian Journal of Mathematical Sciences
Volume1
Issue number2
Publication statusPublished - 2007

Fingerprint

Stagnation Point Flow
Mixed Convection
Vertical
Stagnation Point
Viscous Fluid
Dual Solutions
Finite Difference Scheme
Incompressible Fluid
Unique Solution
Heat Transfer
Boundary Layer
Linearly
Vary

Keywords

  • Boundary layer
  • Heat transfer
  • Mixed convection
  • Permeable sheet
  • Stagnation-point flow
  • Stretching sheet

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet. / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Arifin, Norihan M.; Pop, Ioan.

In: Malaysian Journal of Mathematical Sciences, Vol. 1, No. 2, 2007, p. 217-226.

Research output: Contribution to journalArticle

@article{d898d32c325b41c0b4ebce90df54bc0a,
title = "Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet",
abstract = "An analysis was done for the steady two-dimensional stagnation-point mixed convection flow of an incompressible viscous fluid towards a stretching vertical permeable sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed boundary layer equations were solved numerically for some values of the parameters considered using an implicit finite difference scheme known as the Keller-box method. Flow and heat transfer characteristics were analyzed and discussed. Both cases of the assisting and opposing flows were considered and it was found that dual solutions exist for the opposing flow, whereas a unique solution resulted for the assisting flow.",
keywords = "Boundary layer, Heat transfer, Mixed convection, Permeable sheet, Stagnation-point flow, Stretching sheet",
author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Arifin, {Norihan M.} and Ioan Pop",
year = "2007",
language = "English",
volume = "1",
pages = "217--226",
journal = "Malaysian Journal of Mathematical Sciences",
issn = "1823-8343",
publisher = "Institute for Mathematical Research",
number = "2",

}

TY - JOUR

T1 - Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Arifin, Norihan M.

AU - Pop, Ioan

PY - 2007

Y1 - 2007

N2 - An analysis was done for the steady two-dimensional stagnation-point mixed convection flow of an incompressible viscous fluid towards a stretching vertical permeable sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed boundary layer equations were solved numerically for some values of the parameters considered using an implicit finite difference scheme known as the Keller-box method. Flow and heat transfer characteristics were analyzed and discussed. Both cases of the assisting and opposing flows were considered and it was found that dual solutions exist for the opposing flow, whereas a unique solution resulted for the assisting flow.

AB - An analysis was done for the steady two-dimensional stagnation-point mixed convection flow of an incompressible viscous fluid towards a stretching vertical permeable sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed boundary layer equations were solved numerically for some values of the parameters considered using an implicit finite difference scheme known as the Keller-box method. Flow and heat transfer characteristics were analyzed and discussed. Both cases of the assisting and opposing flows were considered and it was found that dual solutions exist for the opposing flow, whereas a unique solution resulted for the assisting flow.

KW - Boundary layer

KW - Heat transfer

KW - Mixed convection

KW - Permeable sheet

KW - Stagnation-point flow

KW - Stretching sheet

UR - http://www.scopus.com/inward/record.url?scp=70349202994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349202994&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70349202994

VL - 1

SP - 217

EP - 226

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 2

ER -