Numerical Solution of Three-Dimensional Boundary Layer Equations

Numerical Solution of Three-Dimensional Boundary Layer Equations

Author: K. C. Wang

Publisher:

Published: 1976

Total Pages: 38

ISBN-13:

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Three-dimensional, incompressible, laminar boundary layer over a spinning blunt body of revolution at incidence and the associated Magnus forces are investigated. Complete solutions for two different, moderate and high, spin rates are obtained by an implicit finite-difference method. A great variety of the circumferential-velocity profiles are determined. Magnus force contributed from the circumferential skin friction and the centrifugal pressure are calculated. These two side-forces partly compensate each other. At lower spin rate, the friction force is larger resulting in a positive Magnus force. At higher spin rate, the opposite is obtained. The changes of the Magnus force from positive at lower spin rate to negative at higher spin rate was previously observed experimentally.


Analysis of the Three-dimensional Compressible Turbulent Boundary Layer on a Sharp Cone at Incidence in Supersonic and Hypersonic Flow

Analysis of the Three-dimensional Compressible Turbulent Boundary Layer on a Sharp Cone at Incidence in Supersonic and Hypersonic Flow

Author: John C. Adams

Publisher:

Published: 1972

Total Pages: 98

ISBN-13:

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An analytical approach toward numerical calculation of the three-dimensional turbulent boundary layer on a sharp cone at incidence under supersonic and hypersonic flow conditions is presented. The theoretical model is based on implicit finite-difference integration of the governing three-dimensional turbulent boundary-layer equations in conjunction with a three-dimensional scalar eddy-viscosity model of turbulence. Comparison is made of present theory with detailed experimental measurements of the three-dimensional turbulent boundary-layer structure (velocity and temperature profiles), the surface streamline direction (obtained via an oil-flow technique) and surface heat-transfer rate.


Calculation of Three-dimensional Boundary Layers on Ship Forms

Calculation of Three-dimensional Boundary Layers on Ship Forms

Author: Kua C. Chang

Publisher:

Published: 1975

Total Pages: 220

ISBN-13:

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An implicit finite difference technique, in curvilin ear-orthogonal surface coordinates, has been developed for the solution of the differential equations of three-dimensional laminar and turbulent boundary layers on ship forms. For turbulent flow, a two-layer eddy-viscosity model has been employed as the closure model. The initial and boundary conditions required to solve the equations and the stability and accuracy of the numerical method are discussed at some length. Two mathematically-defined simple three-dimensional ship forms are studied in some detail. These are a tri-axial ellipsoid and a double elliptic ship.