Unsteady flow of viscoelastic fluid between two cylinders using fractional Maxwell model |
| |
| Authors: | Muhammad Jamil Constantin Fetecau Corina Fetecau |
| |
| Institution: | Muhammad Jamil Abdus Salam School of Mathematical Sciences,GC University,Lahore,Pakistan Department of Mathematics,NED University of Engineering & Technology,Karachi-75270,Pakistan Constantin Fetecau Department of Mathematics,Technical University of Iasi,Iasi-700050,Romania Corina Fetecau Department of Theoretical Mechanics,Technical University of Iasi,Iasi-700050,Romania |
| |
| Abstract: | The unsteady flow of an incompressible fractional Maxwell fluid between two infinite coaxial cylinders is studied by means
of integral transforms. The motion of the fluid is due to the inner cylinder that applies a time dependent torsional shear
to the fluid. The exact solutions for velocity and shear stress are presented in series form in terms of some generalized
functions. They can easily be particularized to give similar solutions for Maxwell and Newtonian fluids. Finally, the influence
of pertinent parameters on the fluid motion, as well as a comparison between models, is highlighted by graphical illustrations. |
| |
| Keywords: | Maxwell fluid · Fractional derivative · Exact solutions · Velocity field · Shear stress · Laplace and Hankel transforms |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
