Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid

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6 Citations (Scopus)

Abstract

In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented.

Original languageEnglish
Pages (from-to)1561-1573
Number of pages13
JournalInternational Journal for Numerical Methods in Fluids
Volume68
Issue number12
DOIs
Publication statusPublished - 30 Apr 2012

Fingerprint

Stretching Surface
Micropolar Fluid
Boundary layer flow
Boundary Layer Flow
Three-dimensional Flow
Stretching
Laminar boundary layer
Fluids
Skin friction
Partial differential equations
Skin Friction
Friction Coefficient
Laminar Flow
Finite Difference Scheme
Dimensionless
Incompressible Fluid
Partial differential equation
Numerical Solution
Valid

Keywords

  • Boundary layer
  • Micropolar fluid
  • Numerical solution
  • Stretching surface
  • Unsteady three-dimensional flow

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Applied Mathematics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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title = "Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid",
abstract = "In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented.",
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author = "K. Ahmad and {Mohd. Nazar}, Roslinda and {Mohd Ishak}, Anuar and I. Pop",
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T1 - Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid

AU - Ahmad, K.

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, I.

PY - 2012/4/30

Y1 - 2012/4/30

N2 - In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented.

AB - In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented.

KW - Boundary layer

KW - Micropolar fluid

KW - Numerical solution

KW - Stretching surface

KW - Unsteady three-dimensional flow

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