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Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium
Joint Authors
Khan, Hamid
Qayyum, Mubashir
Khan, Omar Usman
Ali, Murtaza
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
An unsteady squeezing flow of Casson fluid having magnetohydrodynamic (MHD) effect and passing through porous medium channel is modeled and investigated.
Similarity transformations are used to convert the partial differential equations (PDEs) of non-Newtonian fluid to a highly nonlinear fourth-order ordinary differential equation (ODE).
The obtained boundary value problem is solved analytically by Homotopy Perturbation Method (HPM) and numerically by explicit Runge-Kutta method of order 4.
For validity purpose, we compare the analytical and numerical results which show excellent agreement.
Furthermore, comprehensive graphical analysis has been made to investigate the effects of various fluid parameters on the velocity profile.
Analysis shows that positive and negative squeeze number Sq have opposite effect on the velocity profile.
It is also observed that Casson parameter β shows opposite effect on the velocity profile in case of positive and negative squeeze number Sq.
MHD parameter Mg and permeability constant Mp have similar effects on the velocity profile in case of positive and negative squeeze numbers.
It is also seen that, in case of positive squeeze number, similar velocity profiles have been obtained for β,Mg, and Mp.
Besides this, analysis of skin friction coefficient has also been presented.
It is observed that squeeze number, MHD parameter, and permeability parameter have direct relationship while Casson parameter has inverse relationship with skin friction coefficient.
American Psychological Association (APA)
Khan, Hamid& Qayyum, Mubashir& Khan, Omar Usman& Ali, Murtaza. 2016. Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112177
Modern Language Association (MLA)
Khan, Hamid…[et al.]. Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1112177
American Medical Association (AMA)
Khan, Hamid& Qayyum, Mubashir& Khan, Omar Usman& Ali, Murtaza. Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112177
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112177