Patrick Weidman, Department of Mechanical Engineering, University of Colorado Boulder

The boundary layer flow induced above the torsional motion of a disk

The boundary layer flow above a disk in torsional motion with angular velocity proportional to r^m is investigated for all values of m > 0. The induced flow is fully three dimensional and we compute wall shear stresses in the radial and azimuthal directions as a function of the torsional exponent m. Also we compute the flow induced in the far field. The large m asymptotics of the problem are computed and compared with numerical solutions. It is noted that m = 1 corresponds to the classic problem of von Karman disk flow.