Vortex boundary layer flow over a disk with mass transfer

The effects of rigid-body and potential-vortex flows at large distances on the steady laminar incompressible axisymmetric boundary-layer flow (with or without mass transfer) on a stationary disk of infinite extent are investigated analytically. A set of nonlinear partial differential equations with three independent variables is derived and solved numerically by an implicit finite-difference scheme using Newton linearization and full integration starting from the edge, and the results are presented in tables and graphs. Radial flow is found to be in the direction of the axis in all cases; as the axis is approached, the boundary layer becomes rapidly thicker and appears to develop a double-scaled structure, the radial-direction wall shear remains approximately constant, the tangential-direction skin-friction parameter decreases, and the radial-direction skin-friction decreases at first and then increases. These results are considered to be of interest to the study of atmospheric phenomena such as hurricanes and tornados.