Eddy-Viscosity Distribution in Thick Axisymmetric Turbulent Boundary Layers

1973 ◽  
Vol 95 (2) ◽  
pp. 319-324 ◽  
Author(s):  
T. Cebeci
Keyword(s):  
Boundary Layers ◽  
Compressible Flows ◽  
Eddy Viscosity ◽  
Turbulent Boundary Layers ◽  
Good Agreement

An eddy-viscosity formulation for thick axisymmetric turbulent boundary layers is presented. Calculations made with this formulation show good agreement with experiment for both incompressible and compressible flows.

Calculation of Incompressible Turbulent Boundary Layers With Mass Transfer, Including Highly Accelerating Flows

1971 ◽  
Vol 93 (3) ◽  
pp. 271-280 ◽  
Author(s):  
T. Cebeci ◽  
G. J. Mosinskis
Keyword(s):  
Mass Transfer ◽  
Boundary Layers ◽  
Eddy Viscosity ◽  
Turbulent Boundary Layers ◽  
Accelerating Flows ◽  
Method Show ◽  
General Method ◽  
Good Agreement

This paper describes a general method for calculating turbulent boundary layers with and without mass addition. The method, as in earlier studies, is based on the eddy-viscosity concept. However, the eddy-viscosity formulation presented in this paper differs from the previous ones in that the previous eddy-viscosity formulation has been generalized to handle flows with mass transfer. A large number of flows computed with this method show good agreement with experiment.

Simple eddy viscosity relations for three-dimensional turbulent boundary layers

AIAA Journal ◽  
1977 ◽  
Vol 15 (6) ◽  
pp. 886-887 ◽  
Author(s):  
George L. Mellor ◽  
H. James Herring
Keyword(s):  
Boundary Layers ◽  
Eddy Viscosity ◽  
Three Dimensional ◽  
Turbulent Boundary Layers

Equilibrium-Turbulent Boundary Layer Prediction for a Proposed Prandtl Mixing Length Distribution

1968 ◽  
Vol 10 (5) ◽  
pp. 426-433 ◽  
Author(s):  
F. C. Lockwood
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Boundary Layers ◽  
Length Distribution ◽  
Momentum Equation ◽  
Turbulent Boundary Layers ◽  
Mixing Length ◽  
Good Agreement

The momentum equation is solved numerically for a suggested ramp variation of the Prandtl mixing length across an equilibrium-turbulent boundary layer. The predictions of several important boundary-layer functions are compared with the equilibrium experimental data. Comparisons are also made with some recent universal recommendations for turbulent boundary layers since the equilibrium experimental data are limited. Good agreement is found between the predictions, the experimental data, and the recommendations.

A Simple, Accurate Integral Solution for Accelerating Turbulent Boundary Layers With Transpiration

1995 ◽  
Vol 117 (3) ◽  
pp. 535-538 ◽  
Author(s):  
James Sucec
Keyword(s):  
Differential Equation ◽  
Experimental Data ◽  
Skin Friction ◽  
Boundary Layers ◽  
Integral Form ◽  
Skin Friction Coefficient ◽  
Momentum Equation ◽  
Turbulent Boundary Layers ◽  
Integral Solution ◽  
Good Agreement

The inner law for transpired turbulent boundary layers is used as the velocity profile in the integral form of the x momentum equation. The resulting ordinary differential equation is solved numerically for the skin friction coefficient, as well as boundary layer thicknesses, as a function of position along the surface. Predicted skin friction coefficients are compared to experimental data and exhibit reasonably good agreement with the data for a variety of different cases. These include blowing and suction, with constant blowing fractions F for both mild and severe acceleration. Results are also presented for more complicated cases where F varies with x along the surface.

Turbulent Boundary Layers With Mass Transfer by the Dorodnitsyn Finite Element Method

1987 ◽  
Vol 54 (1) ◽  
pp. 197-202 ◽  
Author(s):  
C. A. J. Fletcher ◽  
R. W. Fleet
Keyword(s):  
Mass Transfer ◽  
Finite Element ◽  
Boundary Layers ◽  
Adverse Pressure Gradient ◽  
Skin Friction Coefficient ◽  
Turbulent Boundary Layers ◽  
Element Formulation ◽  
Surface Mass ◽  
Surface Mass Transfer ◽  
Good Agreement

The Dorodnitsyn finite element formulation is extended to cover incompressible, two-dimensional turbulent boundary layers with surface mass transfer in the normal direction. The method is shown to give accurate and economical answers with only eleven points spanning the boundary layer. Good agreement is obtained when the computational solutions are compared with the experimental results of McQuaid [13] for skin friction coefficient, displacement and momentum thickness and velocity profiles. Zero and adverse pressure gradient and discontinuous injection cases have been considered.

Calculation of the Development of Turbulent Boundary Layers With a Turbulent Freestream

1974 ◽  
Vol 96 (4) ◽  
pp. 348-352 ◽  
Author(s):  
R. L. Evans ◽  
J. H. Horlock
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Model Equation ◽  
Plate Boundary ◽  
Adverse Pressure Gradient ◽  
Turbulent Boundary Layers ◽  
Integral Boundary ◽  
Momentum Integral ◽  
Flat Plate Boundary Layer ◽  
Good Agreement

An existing integral boundary layer calculation procedure is modified to predict turbulent boundary layers developing in a turbulent freestream. Extra terms in both the turbulence model equation and the momentum integral equation are introduced to account for the effects of freestream turbulence. Good agreement with flat plate boundary layer measurements in a turbulent freestream has been obtained, while comparison with measurements in a severe adverse pressure gradient shows qualitative agreement with experiments.

Eddy Viscosity in Turbulent Boundary Layers

1976 ◽  
Vol 27 (4) ◽  
pp. 270-276 ◽  
Author(s):  
M R Head
Keyword(s):  
Boundary Layers ◽  
Eddy Viscosity ◽  
Turbulent Boundary Layers ◽  
Physical Picture

SummaryObserved variations of eddy viscosity in the outer regions of turbulent boundary layers are here explained in terms of the reorientation and stretching of vortex elements. The explanation, which is purely qualitative, gives a clear and plausible physical picture.

Numerical Analysis of Eddy Viscosity Models in Supersonic Turbulent Boundary Layers

AIAA Journal ◽  
1973 ◽  
Vol 11 (12) ◽  
pp. 1677-1683 ◽  
Author(s):  
J. S. SHANG ◽  
W. L. HANKEY ◽  
D. L. DWOYER
Keyword(s):  
Numerical Analysis ◽  
Boundary Layers ◽  
Eddy Viscosity ◽  
Turbulent Boundary Layers ◽  
Viscosity Models
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