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Paper Information

Journal:   JOURNAL OF APPLIED FLUID MECHANICS (JAFM)   2016 , Volume 9 , Number 6; Page(s) 3127 To 3133.
 
Paper: 

UNSTEADY MAGNETOHYDRODYNAMIC FLOW OF SECOND GRADE FLUID DUE TO UNIFORM ACCELERATING PLATE

 
 
Author(s):  KHAN A., ZAMAN G.*
 
* DEPARTMENT OF MATHEMATICS, UNIVERSITY OF MALAKAND, CHAKDARA, KHYBER PAKHTUNKHWA, 18000, PAKISTAN
 
Abstract: 

New exact solutions for unsteady magnetohydrodynamic (MHD)flows of a generalized second-grade fluid due to uniform accelerating plate are derived. The generalized second-gradefluid saturates the porous space.
Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stressfields are obtained by using Laplace transform technique for the fractional calculus. The obtained solutions are expressed in series form in terms of Fox H-functions. Similar solutions for ordinary secondgrade fluid passing through a porous space are also recovered. Moreover, several figures are sketched for the pertinent parameters to analyze the characteristics of velocityfield and shear stress.

 
Keyword(s): MHD FLOW, GENERALIZED SECOND-GRADE FLUID, FRACTIONAL DERIVATIVES, FOX H-FUNCTIONS, DISCRETE LAPLACE TRANSFORM
 
References: 
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