Homotopy solution for flow of a micropolar fluid on a continuous moving surface

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4 Citations (Scopus)

Abstract

In this paper, the steady boundary layer flow and heat transfer of a micropolar fluid on an isothermal continuously moving plane surface is studied analytically. It is assumed that the microinertia density is variable and the viscous dissipation effect is taken into account. The system of nonlinear ordinary differential equations is solved analytically using the homotopy analysis method (HAM) and the results are obtained for various flow and heat transfer characteristics. By using HAM, accurate analytic series solutions are obtained in the whole spatial region. Also, a new suggestion for choosing the proper value of the auxiliary parameter ℏ in the convergence region is proposed. It is observed that the present solutions have higher accuracy when the residual error is obtained. The present results show that this algorithm is effective and can be similarly applied to other nonlinear equations.

Original languageEnglish
Pages (from-to)608-621
Number of pages14
JournalInternational Journal for Numerical Methods in Fluids
Volume66
Issue number5
DOIs
Publication statusPublished - 20 Jun 2011

Fingerprint

Micropolar Fluid
Homotopy Analysis Method
Homotopy
Heat Transfer
Moving Planes
Heat transfer
Viscous Dissipation
Fluids
Boundary layer flow
Boundary Layer Flow
Series Solution
Nonlinear Ordinary Differential Equations
Steady Flow
Nonlinear equations
Ordinary differential equations
High Accuracy
Nonlinear Equations

Keywords

  • Boundary layer
  • Heat transfer
  • Homotopy analysis method
  • Homotopy solution
  • Micropolar fluid
  • Moving surface

ASJC Scopus subject areas

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

Cite this

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title = "Homotopy solution for flow of a micropolar fluid on a continuous moving surface",
abstract = "In this paper, the steady boundary layer flow and heat transfer of a micropolar fluid on an isothermal continuously moving plane surface is studied analytically. It is assumed that the microinertia density is variable and the viscous dissipation effect is taken into account. The system of nonlinear ordinary differential equations is solved analytically using the homotopy analysis method (HAM) and the results are obtained for various flow and heat transfer characteristics. By using HAM, accurate analytic series solutions are obtained in the whole spatial region. Also, a new suggestion for choosing the proper value of the auxiliary parameter ℏ in the convergence region is proposed. It is observed that the present solutions have higher accuracy when the residual error is obtained. The present results show that this algorithm is effective and can be similarly applied to other nonlinear equations.",
keywords = "Boundary layer, Heat transfer, Homotopy analysis method, Homotopy solution, Micropolar fluid, Moving surface",
author = "Alomari, {A. K.} and {Md. Noorani}, {Mohd. Salmi} and {Mohd. Nazar}, Roslinda",
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T1 - Homotopy solution for flow of a micropolar fluid on a continuous moving surface

AU - Alomari, A. K.

AU - Md. Noorani, Mohd. Salmi

AU - Mohd. Nazar, Roslinda

PY - 2011/6/20

Y1 - 2011/6/20

N2 - In this paper, the steady boundary layer flow and heat transfer of a micropolar fluid on an isothermal continuously moving plane surface is studied analytically. It is assumed that the microinertia density is variable and the viscous dissipation effect is taken into account. The system of nonlinear ordinary differential equations is solved analytically using the homotopy analysis method (HAM) and the results are obtained for various flow and heat transfer characteristics. By using HAM, accurate analytic series solutions are obtained in the whole spatial region. Also, a new suggestion for choosing the proper value of the auxiliary parameter ℏ in the convergence region is proposed. It is observed that the present solutions have higher accuracy when the residual error is obtained. The present results show that this algorithm is effective and can be similarly applied to other nonlinear equations.

AB - In this paper, the steady boundary layer flow and heat transfer of a micropolar fluid on an isothermal continuously moving plane surface is studied analytically. It is assumed that the microinertia density is variable and the viscous dissipation effect is taken into account. The system of nonlinear ordinary differential equations is solved analytically using the homotopy analysis method (HAM) and the results are obtained for various flow and heat transfer characteristics. By using HAM, accurate analytic series solutions are obtained in the whole spatial region. Also, a new suggestion for choosing the proper value of the auxiliary parameter ℏ in the convergence region is proposed. It is observed that the present solutions have higher accuracy when the residual error is obtained. The present results show that this algorithm is effective and can be similarly applied to other nonlinear equations.

KW - Boundary layer

KW - Heat transfer

KW - Homotopy analysis method

KW - Homotopy solution

KW - Micropolar fluid

KW - Moving surface

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