Unsteady helical flows of Oldroyd-B fluids

作者：Jamil M^*; Fetecau C; Imran M

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(3): 1378-1386.

DOI：10.1016/j.cnsns.2010.07.004

• Oldroyd-B fluid
• Helical flows
• Velocity field
• Time-dependent shear stresses
• Hankel transforms

The unsteady helical flow of an Oldroyd-B fluid, in an infinite circular cylinder, is studied by using finite Hankel transforms. The motion is produced by the cylinder that, at time t = 0(+), is subject to torsional and longitudinal time-dependent shear stresses. The solutions that have been obtained, presented under series form, satisfy all imposed initial and boundary conditions. The corresponding solutions for Maxwell, second grade and Newtonian fluids are obtained as limiting cases of general solutions. Finally, the influence of the pertinent parameters on the fluid motion is underlined by graphical illustrations.

• 出版日期2011-3