Finite analytic numerical solutions of incompressible flow past inclined axisymmetric bodies
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 this program, options are made available for users to select, namely: (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/sup 4/, 10/sup 5/ and 2.48 x 10/sup 6/. Then, finite analytic solutions for two axisymmetric bodies without an angle of attack at Reynolds number of 1.2 x 10/sup 6/ and 6.6 x 10/sup 6/ are obtained and compared with available experimental data. Good agreement between the predicted results and experimental data is obtained.
- Research Organization:
- Iowa Univ., Iowa City (USA)
- OSTI ID:
- 5180338
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
ANALYTICAL SOLUTION
COMPUTER CODES
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
LAMINAR FLOW
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
THREE-DIMENSIONAL CALCULATIONS
TURBULENT FLOW
UNSTEADY FLOW