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   unsteady magnetohydrodynamic flow of second grade fluid due to uniform accelerating plate  
   
نویسنده khan a. ,zaman g.
منبع journal of applied fluid mechanics - 2016 - دوره : 9 - شماره : 6 - صفحه:3127 -3133
چکیده    New exact solutions for unsteady magnetohydrodynamic (mhd) flows of a generalized secondgrade fluid due to uniform accelerating plate are derived. the generalized secondgrade fluid saturates the porous space. fractional derivative is used in the governing equation. the analytical expressions for velocity and shear stress fields are obtained by using laplace transform technique for the fractional calculus. the obtained solutions are expressed in series form in terms of fox hfunctions. 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 velocity field and shear stress.
کلیدواژه mhd flow; generalized second-grade fluid; fractional derivatives; fox h-functions; discretelaplace transform.
آدرس university of malakand, department of mathematics, pakistan. university of swat, department of mathematics and statistics, pakistan, university of malakand, department of mathematics, pakistan. abdul wali khan university, department of mathematics, pakistan
پست الکترونیکی gzaman@uom.edu.pk
 
     
   
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