Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity

E. H. Hafidzuddin, Roslinda Mohd. Nazar, N. M. Arifin, I. Pop

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable.

Original languageEnglish
Pages (from-to)2025-2036
Number of pages12
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number4
Publication statusPublished - 2016

Fingerprint

boundary layer flow
Boundary layer flow
Stretching
slip
heat transfer
Heat transfer
skin friction
Skin friction
suction
laminar boundary layer
Laminar boundary layer
Prandtl number
Nusselt number
heat transfer coefficients
Ordinary differential equations
partial differential equations
temperature profiles
Shear deformation
coefficient of friction
Heat transfer coefficients

Keywords

  • Boundary layer
  • Dual solutions
  • General slip
  • Heat transfer
  • Numerical solution
  • Stability analysis
  • Stretching/shrinking

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity. / Hafidzuddin, E. H.; Mohd. Nazar, Roslinda; Arifin, N. M.; Pop, I.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 4, 2016, p. 2025-2036.

Research output: Contribution to journalArticle

@article{fbf4016c0b53471898562656a3feeac5,
title = "Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity",
abstract = "In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable.",
keywords = "Boundary layer, Dual solutions, General slip, Heat transfer, Numerical solution, Stability analysis, Stretching/shrinking",
author = "Hafidzuddin, {E. H.} and {Mohd. Nazar}, Roslinda and Arifin, {N. M.} and I. Pop",
year = "2016",
language = "English",
volume = "9",
pages = "2025--2036",
journal = "Journal of Applied Fluid Mechanics",
issn = "1735-3572",
publisher = "Isfahan University of Technology",
number = "4",

}

TY - JOUR

T1 - Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity

AU - Hafidzuddin, E. H.

AU - Mohd. Nazar, Roslinda

AU - Arifin, N. M.

AU - Pop, I.

PY - 2016

Y1 - 2016

N2 - In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable.

AB - In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer induced by stretching/shrinking sheets are important in the study of extrusion processes and is a subject of considerable interest in the contemporary literature. Appropriate similarity variables are used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary (similarity) differential equations. The transformed equations are then solved numerically using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to determine which solutions are stable and physically realizable and which are not stable. The effects of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail. It is found that the introduction of the generalized slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt number. Finally, it is concluded from the stability analysis that the first (upper branch) solution is stable while the second (lower branch) solution is not stable.

KW - Boundary layer

KW - Dual solutions

KW - General slip

KW - Heat transfer

KW - Numerical solution

KW - Stability analysis

KW - Stretching/shrinking

UR - http://www.scopus.com/inward/record.url?scp=84975706410&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975706410&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84975706410

VL - 9

SP - 2025

EP - 2036

JO - Journal of Applied Fluid Mechanics

JF - Journal of Applied Fluid Mechanics

SN - 1735-3572

IS - 4

ER -