Open Access
ARTICLE
ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
Yaqing Liua,*, Jinyu Mab
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.
Keywords
Cite This Article
Liu, Y., Ma, J. (2015). ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE.
Frontiers in Heat and Mass Transfer, 6(1), 1–5.