A note on some solutions of micropolar fluid in a channel with permeable walls

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 mod...

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Bibliographic Details
Published in:Multidiscipline modeling in materials and structures 2018-02, Vol.14 (1), p.91-101
Main Authors: Raza, Jawad, Rohni, Azizah M, Omar, Zurni
Format: Article
Language:English
Subjects:
Angular momentum
Applied mathematics
Computational fluid dynamics
Engineering
Fluid flow
Fluids
Heat transfer
Lagrange multiplier
Mathematical models
Methods
Micropolar fluids
Motivation
Nonlinear equations
Numerical analysis
Ordinary differential equations
Partial differential equations
Permeability
Physical properties
Researchers
Reynolds number
Studies
Suction
Transformations (mathematics)
Viscosity
Walls
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Summary: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.
ISSN:1573-6105
1573-6113
DOI:10.1108/MMMS-06-2017-0053