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MHD squeezing flow of second‐grade fluid between two parallel disks
Author(s) -
Hayat T.,
Yousaf Arshia,
Mustafa M.,
Obaidat S.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2565
Subject(s) - homotopy analysis method , magnetohydrodynamics , fluid dynamics , mathematics , flow (mathematics) , homotopy , momentum (technical analysis) , suction , partial differential equation , homotopy perturbation method , mechanics , magnetic field , classical mechanics , calculus (dental) , mathematical analysis , physics , geometry , pure mathematics , thermodynamics , medicine , dentistry , finance , quantum mechanics , economics
SUMMARY This paper examines the unsteady two‐dimensional flow of a second‐grade fluid between parallel disks in the presence of an applied magnetic field. The continuity and momentum equations governing the unsteady two‐dimensional flow of a second‐grade fluid are reduced to a single differential equation through similarity transformations. The resulting differential system is computed by a homotopy analysis method. Graphical results are discussed for both suction and blowing cases. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid ( Math. Probl. Eng ., DOI: 10.1155/2009/603916 ). Copyright © 2011 John Wiley & Sons, Ltd.