ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
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چکیده
منابع مشابه
Accelerating Mhd Flow of a Generalized Oldroyd-b Fluid with Fractional Derivative
This paper presents an exact solution for the magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid due to an infinite accelerating plate. The fractional calculus approach is introduced to establish the constitutive relationship of the Oldroyd-B fluid. The solutions in terms of Fox H-function are obtained by using the Laplace transform. When 0 = N the solutions corresp...
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In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...
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Analytical expressions for the velocity field and the tangential stresses that are induced due to a constantly accelerating edge in an Oldroyd-B fluid have been established for all values of material constants. The solutions that have been obtained satisfy the governing differential equations and all the imposed initial and boundary conditions. These solutions reduce to those for the Maxwell, s...
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ژورنال
عنوان ژورنال: Frontiers in Heat and Mass Transfer
سال: 2015
ISSN: 2151-8629
DOI: 10.5098/hmt.6.17