Micropolar fluid flow and heat transfer over a nonlinearly stretching plate with viscous dissipation

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The flow and heat transfer of a micropolar fluid past a nonlinearly stretching plate is studied numerically, by taking into account the viscous dissipation effect. It is assumed that the plate is stretched nonlinearly from the slot where it is issued. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters, namely, the material parameter K, the Eckert number Ec, the Prandtl number Pr, and the nonlinear stretching parameter n, on the flow field and the heat transfer characteristics are obtained and discussed. The velocity and the temperature profiles are also illustrated to aid the validity of the numerical results obtained. It is found that both the local Nusselt number and the magnitude of the skin friction coefficient increase with the nonlinear stretching parameter n, and the opposite trend occurs as K increases for fixed n.

Original languageEnglish
Article number257161
JournalMathematical Problems in Engineering
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Micropolar Fluid
Viscous Dissipation
Stretching
Fluid Flow
Heat Transfer
Flow of fluids
Heat transfer
Skin friction
Prandtl number
Nusselt number
Ordinary differential equations
Partial differential equations
Skin Friction
Flow fields
Temperature Profile
Friction Coefficient
Systems of Partial Differential Equations
Finite Difference Scheme
Flow Field
Ordinary differential equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

@article{0c8fd1c14c3f4b24bc46cad45b4c15c7,
title = "Micropolar fluid flow and heat transfer over a nonlinearly stretching plate with viscous dissipation",
abstract = "The flow and heat transfer of a micropolar fluid past a nonlinearly stretching plate is studied numerically, by taking into account the viscous dissipation effect. It is assumed that the plate is stretched nonlinearly from the slot where it is issued. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters, namely, the material parameter K, the Eckert number Ec, the Prandtl number Pr, and the nonlinear stretching parameter n, on the flow field and the heat transfer characteristics are obtained and discussed. The velocity and the temperature profiles are also illustrated to aid the validity of the numerical results obtained. It is found that both the local Nusselt number and the magnitude of the skin friction coefficient increase with the nonlinear stretching parameter n, and the opposite trend occurs as K increases for fixed n.",
author = "Kartini Ahmad and {Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda",
year = "2013",
doi = "10.1155/2013/257161",
language = "English",
volume = "2013",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Micropolar fluid flow and heat transfer over a nonlinearly stretching plate with viscous dissipation

AU - Ahmad, Kartini

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

PY - 2013

Y1 - 2013

N2 - The flow and heat transfer of a micropolar fluid past a nonlinearly stretching plate is studied numerically, by taking into account the viscous dissipation effect. It is assumed that the plate is stretched nonlinearly from the slot where it is issued. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters, namely, the material parameter K, the Eckert number Ec, the Prandtl number Pr, and the nonlinear stretching parameter n, on the flow field and the heat transfer characteristics are obtained and discussed. The velocity and the temperature profiles are also illustrated to aid the validity of the numerical results obtained. It is found that both the local Nusselt number and the magnitude of the skin friction coefficient increase with the nonlinear stretching parameter n, and the opposite trend occurs as K increases for fixed n.

AB - The flow and heat transfer of a micropolar fluid past a nonlinearly stretching plate is studied numerically, by taking into account the viscous dissipation effect. It is assumed that the plate is stretched nonlinearly from the slot where it is issued. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters, namely, the material parameter K, the Eckert number Ec, the Prandtl number Pr, and the nonlinear stretching parameter n, on the flow field and the heat transfer characteristics are obtained and discussed. The velocity and the temperature profiles are also illustrated to aid the validity of the numerical results obtained. It is found that both the local Nusselt number and the magnitude of the skin friction coefficient increase with the nonlinear stretching parameter n, and the opposite trend occurs as K increases for fixed n.

UR - http://www.scopus.com/inward/record.url?scp=84880164736&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880164736&partnerID=8YFLogxK

U2 - 10.1155/2013/257161

DO - 10.1155/2013/257161

M3 - Article

AN - SCOPUS:84880164736

VL - 2013

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 257161

ER -