Finite Analytic Numerical Solutions of Incompressible Flow Past Inclined Axisymmetric Bodies
Abstract
A finite analytic solution for three dimensional unsteady laminar and turbulent flow is derived on a curvilinear body-fitted coordinate system so that the flow past an arbitrary body shape can be predicted and solved. The general governing equations for turbulent flows are incompressible three-dimensional, ensemble-averaged Navier-Stokes equations. The Reynolds stresses are modeled by the k-epsilon turbulence model with Boussinesq eddy viscosity assumption. In the numerical solution the velocity components and pressure are considered as primitive dependent variables and solved explicitly. A numerical program called FANS-3DEF (Finite Analytic Numerical Solution of Three Dimensional External Flow) is developed. In the FANS-3DEF program options are made available for users to select. They are (1) dimension, (2) grid system, (3) type of flow, and (4) turbulence models. To verify the numerical accuracy and validity of the turbulence models, the finite analytic solution is first obtained for laminar and turbulent flow over a finite flat plate with or without angles of attack at Reynolds number 10,000, 100,000 and 2.48 million. Then finite analytic solutions for two axisymmetric bodies without an angle of attack at Reynolds number of 1.2 to 6.6 million are obtained and compared with available experimental data. Good agreement between the predicted result and experimental data is obtained. Finally, the flow past an axisymmetric body with an ogival nose for three different angles of attack, 5, 10 and 15 degree at Reynolds number 3.7 million is solved. Whenever possible the predicted solution are compared with either available numerical results or experimental data.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1987
- Accession Number
- ADA243854
Entities
People
- Ching-Jen Chen
- Wu-sun Cheng
Organizations
- University of Iowa