Flow and heat transfer of a power-law fluid over a permeable shrinking sheet

Nor Azizah Yacob, Anuar Mohd Ishak

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The steady, two-dimensional laminar flow of a power-law fluid over a permeable shrinking sheet of constant surface temperature is investigated. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations using a similarity transformation, before being solved numerically by the Runge-Kutta-Fehlberg method with shooting technique. The results are presented graphically and the effects of the power-law index n, suction parameter fw and Prandtl number Pr were discussed. It was found that stronger suction is necessary for the solution to exist for a pseudoplastic fluid (n<1) compared to a dilatant fluid (n>1).

Original languageEnglish
Pages (from-to)491-496
Number of pages6
JournalSains Malaysiana
Volume43
Issue number3
Publication statusPublished - Mar 2014

Fingerprint

suction
heat transfer
Runge-Kutta method
fluids
Prandtl number
laminar flow
partial differential equations
surface temperature
differential equations

Keywords

  • Boundary layer
  • Heat transfer
  • Power-law fluid
  • Shrinking sheet

ASJC Scopus subject areas

  • General

Cite this

Flow and heat transfer of a power-law fluid over a permeable shrinking sheet. / Yacob, Nor Azizah; Mohd Ishak, Anuar.

In: Sains Malaysiana, Vol. 43, No. 3, 03.2014, p. 491-496.

Research output: Contribution to journalArticle

@article{9d739547ebf84659ad846397e44a8bdb,
title = "Flow and heat transfer of a power-law fluid over a permeable shrinking sheet",
abstract = "The steady, two-dimensional laminar flow of a power-law fluid over a permeable shrinking sheet of constant surface temperature is investigated. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations using a similarity transformation, before being solved numerically by the Runge-Kutta-Fehlberg method with shooting technique. The results are presented graphically and the effects of the power-law index n, suction parameter fw and Prandtl number Pr were discussed. It was found that stronger suction is necessary for the solution to exist for a pseudoplastic fluid (n<1) compared to a dilatant fluid (n>1).",
keywords = "Boundary layer, Heat transfer, Power-law fluid, Shrinking sheet",
author = "Yacob, {Nor Azizah} and {Mohd Ishak}, Anuar",
year = "2014",
month = "3",
language = "English",
volume = "43",
pages = "491--496",
journal = "Sains Malaysiana",
issn = "0126-6039",
publisher = "Penerbit Universiti Kebangsaan Malaysia",
number = "3",

}

TY - JOUR

T1 - Flow and heat transfer of a power-law fluid over a permeable shrinking sheet

AU - Yacob, Nor Azizah

AU - Mohd Ishak, Anuar

PY - 2014/3

Y1 - 2014/3

N2 - The steady, two-dimensional laminar flow of a power-law fluid over a permeable shrinking sheet of constant surface temperature is investigated. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations using a similarity transformation, before being solved numerically by the Runge-Kutta-Fehlberg method with shooting technique. The results are presented graphically and the effects of the power-law index n, suction parameter fw and Prandtl number Pr were discussed. It was found that stronger suction is necessary for the solution to exist for a pseudoplastic fluid (n<1) compared to a dilatant fluid (n>1).

AB - The steady, two-dimensional laminar flow of a power-law fluid over a permeable shrinking sheet of constant surface temperature is investigated. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations using a similarity transformation, before being solved numerically by the Runge-Kutta-Fehlberg method with shooting technique. The results are presented graphically and the effects of the power-law index n, suction parameter fw and Prandtl number Pr were discussed. It was found that stronger suction is necessary for the solution to exist for a pseudoplastic fluid (n<1) compared to a dilatant fluid (n>1).

KW - Boundary layer

KW - Heat transfer

KW - Power-law fluid

KW - Shrinking sheet

UR - http://www.scopus.com/inward/record.url?scp=84896852077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896852077&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84896852077

VL - 43

SP - 491

EP - 496

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 3

ER -