Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

S. Nadeem; Anwar Hussain; M. Y. Malik; T. Hayat

doi:10.1007/s10483-009-1005-6

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

S. Nadeem
, Anwar Hussain
, M. Y. Malik
, T. Hayat

Quaid-I-Azam University

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

34 Scopus citations

Abstract

This study derives the analytic solutions of boundary layer flows bounded by a shrinking sheet. With the similarity transformations, the partial differential equations are reduced into the ordinary differential equations which are then solved by the homotopy analysis method (HAM). Two-dimensional and axisymmetric shrinking flow cases are discussed.

Original language	English
Pages (from-to)	1255-1262
Number of pages	8
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	30
Issue number	10
DOIs	https://doi.org/10.1007/s10483-009-1005-6
State	Published - 2009
Externally published	Yes

Keywords

Second-grade fluid
Shrinking sheet
Stagnation flow

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10.1007/s10483-009-1005-6

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title = "Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet",

abstract = "This study derives the analytic solutions of boundary layer flows bounded by a shrinking sheet. With the similarity transformations, the partial differential equations are reduced into the ordinary differential equations which are then solved by the homotopy analysis method (HAM). Two-dimensional and axisymmetric shrinking flow cases are discussed.",

keywords = "Second-grade fluid, Shrinking sheet, Stagnation flow",

author = "S. Nadeem and Anwar Hussain and Malik, \{M. Y.\} and T. Hayat",

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doi = "10.1007/s10483-009-1005-6",

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AU - Nadeem, S.

AU - Hussain, Anwar

AU - Malik, M. Y.

AU - Hayat, T.

PY - 2009

Y1 - 2009

N2 - This study derives the analytic solutions of boundary layer flows bounded by a shrinking sheet. With the similarity transformations, the partial differential equations are reduced into the ordinary differential equations which are then solved by the homotopy analysis method (HAM). Two-dimensional and axisymmetric shrinking flow cases are discussed.

AB - This study derives the analytic solutions of boundary layer flows bounded by a shrinking sheet. With the similarity transformations, the partial differential equations are reduced into the ordinary differential equations which are then solved by the homotopy analysis method (HAM). Two-dimensional and axisymmetric shrinking flow cases are discussed.

KW - Second-grade fluid

KW - Shrinking sheet

KW - Stagnation flow

UR - https://www.scopus.com/pages/publications/70350504290

U2 - 10.1007/s10483-009-1005-6

DO - 10.1007/s10483-009-1005-6

M3 - Article

AN - SCOPUS:70350504290

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VL - 30

SP - 1255

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 10

ER -

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

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Keywords

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