Analytical solution for time-dependent flow of a third grade fluid induced due to impulsive motion of a flat porous plate

Taha Aziz; F. M. Mahomed; Azeem Shahzad; Asim Aziz

doi:10.1007/s10255-015-0503-3

Analytical solution for time-dependent flow of a third grade fluid induced due to impulsive motion of a flat porous plate

Taha Aziz^*
, F. M. Mahomed
, Azeem Shahzad
, Asim Aziz

^*Corresponding author for this work

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

1 Scopus citations

Abstract

The aim of the present communication is to discuss the analytical solution for the unsteady flow of a third grade fluid which occupies the space y > 0 over an infinite porous plate. The flow is generated due to the motion of the plate in its own plane with an impulsive velocity V (t). Translational symmetries in variables t and y are utilized to reduce the governing non-linear partial differential equation into an ordinary differential equation. The reduced problem is then solved using homotopy analysis method (HAM). Graphs representing the solution are plotted and discussed and proper conclusions are drawn.

Original language	English
Pages (from-to)	757-766
Number of pages	10
Journal	Acta Mathematicae Applicatae Sinica
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s10255-015-0503-3
State	Published - 23 Jul 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

Keywords

Homotopy analysis method (HAM)
Porous plate
third grade fluid
translational symmetries

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s10255-015-0503-3

Cite this

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abstract = "The aim of the present communication is to discuss the analytical solution for the unsteady flow of a third grade fluid which occupies the space y > 0 over an infinite porous plate. The flow is generated due to the motion of the plate in its own plane with an impulsive velocity V (t). Translational symmetries in variables t and y are utilized to reduce the governing non-linear partial differential equation into an ordinary differential equation. The reduced problem is then solved using homotopy analysis method (HAM). Graphs representing the solution are plotted and discussed and proper conclusions are drawn.",

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AU - Aziz, Taha

AU - Mahomed, F. M.

AU - Shahzad, Azeem

AU - Aziz, Asim

PY - 2015/7/23

Y1 - 2015/7/23

N2 - The aim of the present communication is to discuss the analytical solution for the unsteady flow of a third grade fluid which occupies the space y > 0 over an infinite porous plate. The flow is generated due to the motion of the plate in its own plane with an impulsive velocity V (t). Translational symmetries in variables t and y are utilized to reduce the governing non-linear partial differential equation into an ordinary differential equation. The reduced problem is then solved using homotopy analysis method (HAM). Graphs representing the solution are plotted and discussed and proper conclusions are drawn.

AB - The aim of the present communication is to discuss the analytical solution for the unsteady flow of a third grade fluid which occupies the space y > 0 over an infinite porous plate. The flow is generated due to the motion of the plate in its own plane with an impulsive velocity V (t). Translational symmetries in variables t and y are utilized to reduce the governing non-linear partial differential equation into an ordinary differential equation. The reduced problem is then solved using homotopy analysis method (HAM). Graphs representing the solution are plotted and discussed and proper conclusions are drawn.

KW - Homotopy analysis method (HAM)

KW - Porous plate

KW - third grade fluid

KW - translational symmetries

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JF - Acta Mathematicae Applicatae Sinica

IS - 3

ER -

Analytical solution for time-dependent flow of a third grade fluid induced due to impulsive motion of a flat porous plate

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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