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 DESCRIPTION:
This report was prepared in the Applied Mathematics Research Branch of
the Aeronautical Research Laboratory, Office of Aero-space Research, Wright-Patterson Air
Force Base. Viscous flow between two parallel disks, which rotate together at a constant
angular velocity is investigated. The fluid enters the space between the two disks and is
set in a spiral motion due to friction and centrifugal forces respectively. The pressure
will increase with the radius because of the centrifugal forces, thus the arrangement can
serve as a centrifugal pump. A mathematical analysis determines the velocity distribution
between the disks, the pressures, the torque applied at the shaft and the resulting
efficiency.
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