Accession Number:

AD0276097

Title:

A SOLUTION FOR THREE-DIMENSIONAL VORTEX FLOWS WITH STRONG CIRCULATION

Descriptive Note:

Corporate Author:

DEPUTY COMMANDER AEROSPACE SYSTEMS INGLEWOOD CALIF

Personal Author(s):

Report Date:

1962-03-20

Pagination or Media Count:

1.0

Abstract:

The Navier-Stokes equations for a viscous, incompressible fluid are considered for a steady, axisymmetric flow composed of a strong rotation combined with radial sink flow which exhausts axially inside a finite radius. The equations are reduced to two coupled partial differential equations in terms of the stream function and circulation. The equations contain three dimensionless parameters the radial Reynolds number, a characteristic ratio of mass flow per unit length to circulation, and a characteristic ratio of an axial dimension to a radial dimension. The product of these last two dimensionless parameters is used as a new expansion parameter for generating an asymptotic series solution. To zeroth order in this parameter, the solution for the stream function is a linear distribution between two axial boundary values. First-order correction terms are calculated for a specific example. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE