TY - JOUR
TI - The analytic solutions for the unsteady rotating flows of the generalized Maxwell fluid between coaxial cylinders
AU - Wang Fang
AU - Shen Wang-Cheng
AU - Liu Jin-Ling
AU - Wang Ping
JN - Thermal Science
PY - 2020
VL - 24
IS - 6
SP - 4041
EP - 4048
PT - Article
AB - In this paper, we consider the unsteady rotating flow of the generalized  Maxwell fluid with fractional derivative model between two infinite straight  circular cylinders, where the flow is due to an infinite straight circular  cylinder rotating and oscillating pressure gradient. The velocity field is  determined by means of the combine of the Laplace and finite Hankel  transforms. The analytic solutions of the velocity and the shear stress are  presented by series form in terms of the generalized G and R functions. The  similar solutions can be also obtained for ordinary Maxwell and Newtonian  fluids as limiting cases.