Numerical solutions of turbulent models for flow over a flat plate with angle of attack
Abstract
Numerical solutions of the twodimensional boundary layer equations were examined. An integral solution was constructed for laminar and turbulent flow, as well as finite difference solutions for zeroth and firstorder turbulence models. The models also account for buoyancy effects. A three part mixing length model was employed in the zerothorder model, and an additional turbulent kinetic energy equation was utilized for the firstorder model. The computational method utilized PatankarSpalding coordinates and differs from other methods in that no matching procedure is required for the inner and outer flow regions. The FalknerSkan velocity profile is applied as an edge boundary condition while variable wall temperature conditions can be imposed. The effects of freestream velocity and angle of attack on skin friction and heat transfer were established, and the velocity and temperature fields were determined. Results of the zerothorder solution are in excellent agreement with the Colburn equation and several other data sources. These solutions provide correlations in terms of Nusselt number and skin friction coefficient versus local Reynolds number which can be used for estimating heat transfer and wind loadings on a flat plate. Results generated are especially useful in predicting the performance of solar system designs.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 March 1985
 Bibcode:
 1985STIN...8532286T
 Keywords:

 Angle Of Attack;
 Buoyancy;
 FalknerSkan Equation;
 Flat Plates;
 Free Flow;
 Friction;
 Heat Transfer;
 Kinetic Energy;
 Laminar Flow;
 Models;
 Numerical Analysis;
 Nusselt Number;
 Reynolds Number;
 Skin Friction;
 Turbulence Models;
 Turbulent Flow;
 Velocity;
 Wall Temperature;
 Computational Fluid Dynamics;
 Flow Characteristics;
 Flow Distribution;
 Flow Measurement;
 Fluid Mechanics and Heat Transfer