Unsteady Helical Flow of a Generalized Oldroyd-B Fluid with Fractional Derivative
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 5, Issue 1
Abstract
This paper considered some unsteady helical flows of a generalized Oldroyd-B fluid between two infinite concentrice cylinders and an infinite circular cylinder. The flow is due to the cylinders oscillate around their common axis and accelerating slide in the direction of the same axis with prescribed velocities. Exact solutions of some unsteady helical flows are obtained by using Laplace transform coupled with Hankel transform for fractional calculus. The corresponding solutions for generalized second grade fluid, Maxwell fluid, ordinary Oldroyd-B fluid or Newtonian fluid are obtained as limiting cases of general solutions. Finally, the influence of the fractional parameters and on the fluid motion is underlined by graphical illustrations.
Authors and Affiliations
Yaqing Liu , Fenglei Zong , Jinbin Dai
Keywords
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