Rheology of micropolar fluid in a channel with changing walls: Investigation of multiple solutions

A numerical study is carried out in order to investigate the multiple solutions of micropolar fluid in a channel with changing walls. Mathematical modeling of laws of conservation of mass, momentum, angular momentum and energy is performed and governing partial differential equations are converted i...

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Bibliographic Details
Published in:Journal of molecular liquids 2016-11, Vol.223, p.890-902
Main Authors: Raza, Jawad, Rohni, Azizah Mohd, Omar, Zurni
Format: Article
Language:English
Subjects:
Micro-rotation
Micropolar fluid
Multiple solutions
Shooting method
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Summary:A numerical study is carried out in order to investigate the multiple solutions of micropolar fluid in a channel with changing walls. Mathematical modeling of laws of conservation of mass, momentum, angular momentum and energy is performed and governing partial differential equations are converted into self-similar ordinary differential equations by applying suitable similarity transformation and then solved numerically by shooting method. A new branch of solutions is found and presented graphically and numerically for the various values of parameters, which has never been reported. •Heat transfer analysis of micropolar fluid in a channel with changing walls is considered.•Mathematical modeling for the law of conservation of mass, momentum, angular momentum and energy profiles is performed.•New branches of the solution for the variation of different physical parameters are investigated.•Triple solutions of micropolar fluid in a channel with changing walls occurred only for the case of suction such that R≥26.61.•Velocity profile increases near the center of the channel as α>0 and decreases as α
ISSN:0167-7322
1873-3166
DOI:10.1016/j.molliq.2016.07.102