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Effect of a Magnetic Field on a Micropolar Fluid Flow in the Vicinity of an Axisymmetric Stagnation Point on a Circular Cylinder
Author(s) -
AbdelRahman G. M.
Publication year - 2009
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.200990042
Subject(s) - stagnation point , mechanics , stagnation pressure , rotational symmetry , ordinary differential equation , cylinder , stagnation temperature , angular momentum , classical mechanics , partial differential equation , physics , reynolds number , magnetic field , dimensionless quantity , momentum (technical analysis) , flow (mathematics) , angular velocity , mathematics , differential equation , mathematical analysis , turbulence , geometry , heat transfer , mach number , finance , quantum mechanics , economics
The effect of a magnetic field on a micropolar fluid flow in the vicinity of an axisymmetric stagnation point on a circular cylinder is studied numerically. The governing conservation equations of continuity, momentum and angular momentum are partial differential equations which are transformed into a system of ordinary differential equations by using the usual similarity transformations. The resulting system of coupled non‐linear ordinary differential equations is solved numerically by using the shooting method. The numerical results indicate the velocity, angular velocity and pressure distributions for different parameters of the problem including Reynolds number, magnetic parameter and dimensionless material properties, etc. In addition, the effect of the pertinent parameters on the local skin friction coefficient and the couple stress are discussed numerically and illustrated graphically.