The laminar boundary layer on spinning bodies of revolution

The subject of this dissertation is the analysis and solution of the equations describing the laminar boundary layer on axisymmetric bodies immersed in an oncoming stream and spinning at a constant rate about their axis of revolution. The flow is allowed to be compressible or incompressible and the geometries for which solutions are obtained include the sphere, cone, paraboloid, hyperboloid and tangent ogive. The only limitation on spin rate involves the assumption that the pressure across the boundary layer remain essentially constant. The method of solution for the set of parabolic nonlinear partial differential equations which describe the boundary layer is an implicit finite difference technique. A study of step size and convergence criteria is included to determine the accuracy of the numerical method. Comparisons with previous approximate methods are also presented in an effort to establish confidence in these results. Boundary layer characteristics in the form of shear stress, heat transfer, velocity and temperature profiles, displacement thickness and frictional drag and moment coefficients are presented for each geometry over a wide range of spin rates.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Aerospace Engineering

Department dc:contributor.department

Aerospace Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1970

Author dc:creator

• Muraca, Ralph John

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10919/114626

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/114626