2014, Volume 9, Issue 3
Frontiers of Mechanical Engineering >> 2014, Volume 9, Issue 3 doi: 10.1007/s11465-014-0303-0
On the MHD squeeze flow between two parallel disks with suction or injection via HAM and HPM
1. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran.
2. Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
3. Department of Electrical and Computer Engineering, Babol University of Technology, Babol, Iran.
4. Department of Mechanical Engineering, College of Mechanic, Tehran Science and Research Branch, Islamic Azad University, Damavand, Iran
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Abstract
An analysis has been performed to study the problem of magneto-hydrodynamic (MHD) squeeze flow of an electrically conducting fluid between two infinite, parallel disks. The analytical methods called Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) have been used to solve nonlinear differential equations. It has been attempted to show the capabilities and wide-range applications of the proposed methods in comparison with a type of numerical analysis as Boundary Value Problem (BVP) in solving this problem. Also, the velocity fields have been computed and shown graphically for various values of physical parameters. The objective of the present work is to investigate the effect of squeeze Reynolds number, Hartmann number and the suction/injection parameter on the velocity field. Furthermore, the results reveal that HAM and HPM are very effective and convenient.
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