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Analysis of laminar flow between stationary and rotating disks with inflowThe laminar flow between a rotating and a stationary disk with inflow was analyzed. Solutions to the dimensionless governing equations are sought by expanding each of the velocity components in powers of inverse radius. The equations to leading order are those for the configuration with no inflow. The subsequent orders yield sets of linear ordinary differential equations. Solutions are obtained for the first two of these subsequent orders. The solutions indicate that inflow tends to increase the magnitude of the azimuthal velocity in the flow between the two disks and to decrease the torque on the rotating disk. For Prandtl number one, an energy integral is obtained which relates the temperature distribution to the velocity distribution for all Reynolds numbers and therefore eliminates the needs for separate solution of the energy equation.
Document ID
Document Type
Contractor Report (CR)
Rohatgi, U.
(Case Western Reserve Univ. Cleveland, OH, United States)
Reshotko, E.
(Case Western Reserve Univ. Cleveland, OH, United States)
Date Acquired
September 3, 2013
Publication Date
February 1, 1974
Subject Category
Fluid Mechanics
Report/Patent Number
Funding Number(s)
Distribution Limits
Work of the US Gov. Public Use Permitted.

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