Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates

A. M. Siddiqui; A. Zeb; Q. K. Ghori; A. M. Benharbit

doi:10.1016/j.chaos.2006.06.037

Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates

A. M. Siddiqui
, A. Zeb
, Q. K. Ghori
, A. M. Benharbit

Penn State York

Research output: Contribution to journal › Article › peer-review

109 Scopus citations

Abstract

The present paper studies the heat transfer flow of a third grade fluid between two heated parallel plates for the constant viscosity model. Three flow problems, namely plane Couette flow, plane Poiseuille flow and plane Couette-Poiseuille flow have been considered. In each case the non-linear momentum equation and the energy equation have been solved using the homotopy perturbation method. Explicit analytical expressions for the velocity field and the temperature distribution have been derived.

Original language	English (US)
Pages (from-to)	182-192
Number of pages	11
Journal	Chaos, Solitons and Fractals
Volume	36
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2006.06.037
State	Published - Apr 2008

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2006.06.037

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abstract = "The present paper studies the heat transfer flow of a third grade fluid between two heated parallel plates for the constant viscosity model. Three flow problems, namely plane Couette flow, plane Poiseuille flow and plane Couette-Poiseuille flow have been considered. In each case the non-linear momentum equation and the energy equation have been solved using the homotopy perturbation method. Explicit analytical expressions for the velocity field and the temperature distribution have been derived.",

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AB - The present paper studies the heat transfer flow of a third grade fluid between two heated parallel plates for the constant viscosity model. Three flow problems, namely plane Couette flow, plane Poiseuille flow and plane Couette-Poiseuille flow have been considered. In each case the non-linear momentum equation and the energy equation have been solved using the homotopy perturbation method. Explicit analytical expressions for the velocity field and the temperature distribution have been derived.

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Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates

Abstract

All Science Journal Classification (ASJC) codes

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