On series solution for generalized Falkner-Skan flow of a FENE-P model

S. Abbasbandy; T. Hayat; K. Maqbool

doi:10.1002/fld.1973

On series solution for generalized Falkner-Skan flow of a FENE-P model

S. Abbasbandy
, T. Hayat
, K. Maqbool

Islamic Azad University
Quaid-I-Azam University
Imam Khomeini International University

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

3 Scopus citations

Abstract

This paper deals with the viscoelastic boundary layer flow past a plate. Constitutive assumptions of the FENE-P model are taken into account. The pressure gradient is taken as non-zero. The series solution of the non-linear problem modelled in (Appl. Math. Lett. 2007; 20:1211-1215) is developed by a homotopy analysis method (HAM). Numerical solution of the skin friction coefficient is also computed. Further a comparison between the numerical and HAM solutions is provided.

Original language	English
Pages (from-to)	698-708
Number of pages	11
Journal	International Journal for Numerical Methods in Fluids
Volume	61
Issue number	6
DOIs	https://doi.org/10.1002/fld.1973
State	Published - Oct 2009
Externally published	Yes

Keywords

Adomian's method
Boundary layer
Crocco's transformation
FENE-P fluid
Falkner-Skan equation
Homotopy analysis method (HAM)

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10.1002/fld.1973

Cite this

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abstract = "This paper deals with the viscoelastic boundary layer flow past a plate. Constitutive assumptions of the FENE-P model are taken into account. The pressure gradient is taken as non-zero. The series solution of the non-linear problem modelled in (Appl. Math. Lett. 2007; 20:1211-1215) is developed by a homotopy analysis method (HAM). Numerical solution of the skin friction coefficient is also computed. Further a comparison between the numerical and HAM solutions is provided.",

keywords = "Adomian's method, Boundary layer, Crocco's transformation, FENE-P fluid, Falkner-Skan equation, Homotopy analysis method (HAM)",

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AB - This paper deals with the viscoelastic boundary layer flow past a plate. Constitutive assumptions of the FENE-P model are taken into account. The pressure gradient is taken as non-zero. The series solution of the non-linear problem modelled in (Appl. Math. Lett. 2007; 20:1211-1215) is developed by a homotopy analysis method (HAM). Numerical solution of the skin friction coefficient is also computed. Further a comparison between the numerical and HAM solutions is provided.

KW - Adomian's method

KW - Boundary layer

KW - Crocco's transformation

KW - FENE-P fluid

KW - Falkner-Skan equation

KW - Homotopy analysis method (HAM)

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 6

ER -

On series solution for generalized Falkner-Skan flow of a FENE-P model

Abstract

Keywords

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