King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date of Publication, Distribution, etc.
1996
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
196
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
King Fahd University of Petroleum and Minerals (Saudi Arabia)
Text preceding or following the note
1996
SUMMARY OR ABSTRACT
Text of Note
The problem of incompressible axisymmetric flow over spheroidal bodies is considered. The analysis covers steady and unsteady flows of inviscid and viscous fluids. The spheroidal bodies may take the shape of spheres, oblate or prolate spheroids. The study is based on analytical and numerical solutions of the mass and momentum conservation equations. Euler's equations are solved analytically for the case of inviscid flow while the full Navier-Stokes equations are solved numerically for the case of viscous flow. The study focuses on the time variation of the velocity field as well as the hydrodynamic forces due to free-stream oscillations. The method of solution of the full Navier-Stokes equations combines analytical and numerical techniques where the stream function and vorticity are approximated using Legendre functions whereas the resulting differential equations are solved numerically. The parameters involved in the viscous flow problem are the Reynolds number, Strouhal number, and the spheroidal body geometry. The study covers Reynolds numbers in the range from 0.1 to 200 and Strouhal numbers in the range from usd\pi /4usd to usd2\pi .usd Results are presented in terms of the drag coefficient, surface vorticity and surface pressure distributions, and streamline and equi-vorticity patterns. Detailed analysis of the velocity field including the wake length and angle of separation is also presented.