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
APA Style
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. https://doi.org/10.5098/hmt.6.17
Vancouver Style
Liu Y, Ma J. ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE. Front Heat Mass Transf. 2015;6(1):1-5 https://doi.org/10.5098/hmt.6.17
IEEE Style
Y. Liu and J. Ma, "ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE," Front. Heat Mass Transf., vol. 6, no. 1, pp. 1-5. 2015. https://doi.org/10.5098/hmt.6.17