On the motion of a second grade fluid due to longitudinal and torsional oscillations of a cylinder: A numerical study

Unsteady problems involving the second grade fluids have received considerable attention in recent years. The present study is an attempt to look at the motion of an oscillating rod in a second grade fluid. Specifically, we solve numerically for the flow of a second grade fluid surrounding a solid cylindrical rod that is suddenly set into longitudinal and torsional motion. The equations are made dimensionless. The results are presented for the shear stresses at the wall, related to the drag force; these are physical quantities of interest, especially in oil-drilling applications.