TY - EJOU
AU - Liu, Yaqing
AU - Ma, Jinyu
TI - ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
T2 - Frontiers in Heat and Mass Transfer
PY - 2015
VL - 6
IS - 1
SN - 2151-8629
AB - 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.
KW - *Generalized Oldroyd-B fluid; Exact solution; Laplace transform; Fox H-function.*
DO - 10.5098/hmt.6.17