Analytical solution of stagnation-point flow of a viscoelastic fluid towards a stretching surface

M. Ayub; H. Zaman; M. Sajid; T. Hayat

doi:10.1016/j.cnsns.2007.04.021

Analytical solution of stagnation-point flow of a viscoelastic fluid towards a stretching surface

M. Ayub
, H. Zaman
, M. Sajid
, T. Hayat

Quaid-I-Azam University
Pakistan Atomic Energy Commission

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

34 Scopus citations

Abstract

In this paper the problem of stagnation-point flow of a viscoelastic fluid towards a stretching surface [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811] is solved analytically by using the homotopy analysis method (HAM). The results for velocity and temperature profiles are obtained. It is noted that the behavior of the HAM solution for velocity and temperature profiles is in good agreement with the numerical solution given in reference [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811].

Original language	English
Pages (from-to)	1822-1835
Number of pages	14
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13
Issue number	9
DOIs	https://doi.org/10.1016/j.cnsns.2007.04.021
State	Published - Nov 2008
Externally published	Yes

Keywords

HAM solution
Stagnation point flow
Stretching surface
Viscoelastic fluid

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10.1016/j.cnsns.2007.04.021

Cite this

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title = "Analytical solution of stagnation-point flow of a viscoelastic fluid towards a stretching surface",

abstract = "In this paper the problem of stagnation-point flow of a viscoelastic fluid towards a stretching surface [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811] is solved analytically by using the homotopy analysis method (HAM). The results for velocity and temperature profiles are obtained. It is noted that the behavior of the HAM solution for velocity and temperature profiles is in good agreement with the numerical solution given in reference [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811].",

keywords = "HAM solution, Stagnation point flow, Stretching surface, Viscoelastic fluid",

author = "M. Ayub and H. Zaman and M. Sajid and T. Hayat",

year = "2008",

month = nov,

doi = "10.1016/j.cnsns.2007.04.021",

language = "English",

volume = "13",

pages = "1822--1835",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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TY - JOUR

T1 - Analytical solution of stagnation-point flow of a viscoelastic fluid towards a stretching surface

AU - Ayub, M.

AU - Zaman, H.

AU - Sajid, M.

AU - Hayat, T.

PY - 2008/11

Y1 - 2008/11

N2 - In this paper the problem of stagnation-point flow of a viscoelastic fluid towards a stretching surface [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811] is solved analytically by using the homotopy analysis method (HAM). The results for velocity and temperature profiles are obtained. It is noted that the behavior of the HAM solution for velocity and temperature profiles is in good agreement with the numerical solution given in reference [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811].

AB - In this paper the problem of stagnation-point flow of a viscoelastic fluid towards a stretching surface [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811] is solved analytically by using the homotopy analysis method (HAM). The results for velocity and temperature profiles are obtained. It is noted that the behavior of the HAM solution for velocity and temperature profiles is in good agreement with the numerical solution given in reference [T.R. Mahapatra, A.S. Gupta, Stagnation-point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech. 39 (2004) 811].

KW - HAM solution

KW - Stagnation point flow

KW - Stretching surface

KW - Viscoelastic fluid

UR - https://www.scopus.com/pages/publications/41149138549

U2 - 10.1016/j.cnsns.2007.04.021

DO - 10.1016/j.cnsns.2007.04.021

M3 - Article

AN - SCOPUS:41149138549

SN - 1007-5704

VL - 13

SP - 1822

EP - 1835

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 9

ER -

Analytical solution of stagnation-point flow of a viscoelastic fluid towards a stretching surface

Abstract

Keywords

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