Exact solution of Flow Generated Due to Longitudinal and Torsional Oscillations of an Electrically Conducting Couple Stress Fluid

The flow generated by a circular cylinder, performing longitudinal and torsional oscillations, in an infinite expanse of couple stress fluid is studied. The fluid is electrically conducting in the presence of uniform transverse magnetic field. Analytical expressions for the velocity components are obtained under No slip condition and vanishing couple stresses on the boundary. The effects of couple stress parameter, Reynolds number, the ratio of couple stress viscosities parameter and Magnetic parameter on transverse and axial velocity components are presented graphically. The drag force acting on the wall of the cylinder is derived and effects of Couple stress parameters on drag are shown graphically