The flow generated by the rotation of a flexible disk next to a wall is analyzed for small Reynolds numbers. A nonlinear differential equation for the radial variation of the pressure and the gap width is solved simultaneously with the equation governing the deflection of a spinning circular membrane under axial pressure load. Optical methods are used to measure the gap width experimentally. The theory agrees well with the measurements.
Flexible Disk Rotating on a Gas Film Next to a Wall
Laboratory for Electronics, Inc., Boston, Mass.
Ascher H. Shapiro
Massachusetts Institute of Technology, Cambridge, Mass.
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Pelech, I., and Shapiro, A. H. (December 1, 1964). "Flexible Disk Rotating on a Gas Film Next to a Wall." ASME. J. Appl. Mech. December 1964; 31(4): 577–584. https://doi.org/10.1115/1.3629717
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