
DESCRIPTION:
This report was prepared in the Applied Mathematics Research Branch of
the Aeronautical Research Laboratory, Office of Aerospace Research, WrightPatterson 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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