S. Abrahamson et S. Lonnes, AN INTEGRAL METHOD FOR TURBULENT BOUNDARY-LAYERS ON ROTATING-DISKS, Journal of fluids engineering, 115(4), 1993, pp. 614-619
An integral method for computing turbulent boundary layers on rotating
disks has been developed using a power law profile for the tangential
velocity and a new model for the radial profile. A similarity solutio
n results from the formulation. Radial transport, boundary layer growt
h, and drag on the disk were computed for the case of a forced vortex
freestream flow. The results were compared to previous similarity solu
tions. The method was extended to a Rankine vortex freestream flow. Di
fferential equations for boundary layer parameters were developed and
solved for different Reynolds numbers to look at the net entrainment,
boundary layer growth, and drag on the disk.