A note on some solutions of micropolar fluid in a channel with permeable walls
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 19 December 2017
Issue publication date: 21 February 2018
Abstract
Purpose
The purpose of this paper is to investigate different branches of the solution of micropolar fluid in a channel with permeable walls. Moreover, the intention of the study is to examine the effect of different physical parameters on fluid flow.
Design/methodology/approach
The mathematical modeling is performed on the basis of law of conservation of mass, momentum and angular momentum. The governing partial differential equations were transformed into ordinary differential equations by applying suitable similarity transformation. Afterwards, the set of nonlinear ordinary differential equations was solved numerically by a shooting method.
Findings
The study reveals that various branches of the solution of the proposed problem exist only in the case of strong suction.
Originality/value
The investigation of new branches of the solution of non-Newtonian micropolar fluid is relatively difficult as far as the single solution is concern. This study explores the new branches of the solution of a micropolar fluid in a channel with suction/injection. Simultaneous effect of suction Reynolds number and vortex viscosity parameter on velocity and micro-rotation profile is examined for different branches of solution in order to make the analysis more interesting.
Keywords
Acknowledgements
The authors would like to thank the reviewers for their constructive comments and suggestions which improved the quality of this paper. The financial support provided by Universiti Utara Malaysia and Ministry of Higher Education, Malaysia, under the incentive scheme and FRGS grant (FRGS/1/2017/STG06/UUM/03/1) is gratefully acknowledged.
Citation
Raza, J., Rohni, A.M. and Omar, Z. (2018), "A note on some solutions of micropolar fluid in a channel with permeable walls", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 1, pp. 91-101. https://doi.org/10.1108/MMMS-06-2017-0053
Publisher
:Emerald Publishing Limited
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