Effect of Slip Condition on Unsteady Flows of an Oldroyd-B Fluid between Parallel Plates
نویسندگان
چکیده
The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to two unsteady boundary value problems. Analytical solutions of the problems are obtained. Effects of various dimensionless parameters emerging in the model on velocity field are presented graphically. It is shown that the solution exists for all values of non-Newtonian parameters. The solutions with no-slip condition for Maxwell, second grade and viscous fluid appear as limiting cases of the present results .
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