Homotopy solution for stagnation-point flow

T. Hayat; Ansa Rafique; M. Y. Malik; S. A. Shehzad; S. Obaidat

doi:10.1088/0253-6102/57/2/21

Homotopy solution for stagnation-point flow

T. Hayat
, Ansa Rafique
, M. Y. Malik
, S. A. Shehzad
, S. Obaidat

Quaid-I-Azam University
King Saud University

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

Abstract

This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear problems have been solved by a homotopy analysis method (HAM). Convergence of the series solutions is checked. Such solutions are compared with the numerical solutions presented in a study [Int. J. Non-Linear Mech. 43 (2008) 941]. Excellent agreement is noted between the numerical and series solutions.

Original language	English
Pages (from-to)	290-294
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	57
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/57/2/21
State	Published - Feb 2012
Externally published	Yes

Keywords

Homotopy solution
nonlinear analysis
second-grade fluid

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10.1088/0253-6102/57/2/21

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abstract = "This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear problems have been solved by a homotopy analysis method (HAM). Convergence of the series solutions is checked. Such solutions are compared with the numerical solutions presented in a study [Int. J. Non-Linear Mech. 43 (2008) 941]. Excellent agreement is noted between the numerical and series solutions.",

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AU - Shehzad, S. A.

AU - Obaidat, S.

PY - 2012/2

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AB - This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear problems have been solved by a homotopy analysis method (HAM). Convergence of the series solutions is checked. Such solutions are compared with the numerical solutions presented in a study [Int. J. Non-Linear Mech. 43 (2008) 941]. Excellent agreement is noted between the numerical and series solutions.

KW - Homotopy solution

KW - nonlinear analysis

KW - second-grade fluid

UR - https://www.scopus.com/pages/publications/84856888036

U2 - 10.1088/0253-6102/57/2/21

DO - 10.1088/0253-6102/57/2/21

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JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 2

ER -

Homotopy solution for stagnation-point flow

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Keywords

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