Series solution for the upper-convected Maxwell fluid over a porous stretching plate

T. Hayat; Z. Abbas; M. Sajid

doi:10.1016/j.physleta.2006.04.117

Series solution for the upper-convected Maxwell fluid over a porous stretching plate

T. Hayat
, Z. Abbas
, M. Sajid

Quaid-I-Azam University
Pakistan Atomic Energy Commission

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

231 Scopus citations

Abstract

This Letter is concerned magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet. By means of similarity transformations, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation. With the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form. Convergence of the series is explicitly discussed. The effects of various involved parameters of interest are shown on velocity and skin friction coefficient for both suction and injection.

Original language	English
Pages (from-to)	396-403
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	358
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2006.04.117
State	Published - 30 Oct 2006
Externally published	Yes

Keywords

Boundary layer flow
HAM solution
Maxwell fluid
Porous stretching sheet

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10.1016/j.physleta.2006.04.117

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title = "Series solution for the upper-convected Maxwell fluid over a porous stretching plate",

abstract = "This Letter is concerned magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet. By means of similarity transformations, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation. With the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form. Convergence of the series is explicitly discussed. The effects of various involved parameters of interest are shown on velocity and skin friction coefficient for both suction and injection.",

keywords = "Boundary layer flow, HAM solution, Maxwell fluid, Porous stretching sheet",

author = "T. Hayat and Z. Abbas and M. Sajid",

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T1 - Series solution for the upper-convected Maxwell fluid over a porous stretching plate

AU - Hayat, T.

AU - Abbas, Z.

AU - Sajid, M.

PY - 2006/10/30

Y1 - 2006/10/30

N2 - This Letter is concerned magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet. By means of similarity transformations, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation. With the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form. Convergence of the series is explicitly discussed. The effects of various involved parameters of interest are shown on velocity and skin friction coefficient for both suction and injection.

AB - This Letter is concerned magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet. By means of similarity transformations, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation. With the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form. Convergence of the series is explicitly discussed. The effects of various involved parameters of interest are shown on velocity and skin friction coefficient for both suction and injection.

KW - Boundary layer flow

KW - HAM solution

KW - Maxwell fluid

KW - Porous stretching sheet

UR - https://www.scopus.com/pages/publications/33748139778

U2 - 10.1016/j.physleta.2006.04.117

DO - 10.1016/j.physleta.2006.04.117

M3 - Article

AN - SCOPUS:33748139778

SN - 0375-9601

VL - 358

SP - 396

EP - 403

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Series solution for the upper-convected Maxwell fluid over a porous stretching plate

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Keywords

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