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Exact solution of stokes' first problem for second grade fluid on a permeable wall

Mohammed, Abdulhameed and Roslan, Rozaini and Muhammad, Muhathir (2014) Exact solution of stokes' first problem for second grade fluid on a permeable wall. International journal of applied mathematics and statistics, 52 (5). pp. 76-85. ISSN 0973-7545

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Abstract

In this work, the stokes's first problem for second grade fluid on a permeable wall is considered. The governing equations were solved analytically for the exact solution by using the perturbation techniques and the laplace transform method. The solution found is the first known solution of the stokes's first problem for second grade fluid when fluid transpiration is presented. Analysis of the result has shown that the second grade fluid exert a great influence on the general flow pattern, the injection provides opposite effect on the velocity field. The solution obtained was found in excellent agreement with related solution for newtonian fluid.

Item Type: Article
Uncontrolled Keywords: Stokes’ first problem; Second grade fluid; Permeable wall.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Normajihan Abd. Rahman
Date Deposited: 08 Aug 2018 07:47
Last Modified: 08 Aug 2018 07:47
URI: http://eprints.uthm.edu.my/id/eprint/9752
Statistic Details: View Download Statistic

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