Open Access

ARTICLE

ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE

Yaqing Liu^a,*, Jinyu Ma^b

a Gengdan Institute of Beijing University of Technology, Beijing 101301, China
b NCPC Hebei huamin pharmaceutical Co., Ltd, Shijiazhuang 052165,China

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2015, 6, 1-5. https://doi.org/10.5098/hmt.6.17

Abstract

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 N = 0 the solutions corresponds to the generalized Oldroyd-B fluids, while θ → 0 and λ → 0 describes the Maxwell fluid and the generalized second fluid, as limiting cases of our general results, respectively.

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Keywords

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