A finite-difference outer layer and integral inner layer method for the solution of the turbulent boundary layer equations

1987 ◽  
Author(s):  
R. BARNWELL ◽  
F. DEJARNETTE
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Turbulent Boundary Layer ◽  
Outer Layer ◽  
Boundary Layer Equations ◽  
Layer Method

Finite-difference outer-layer, analytic inner-layer method for turbulent boundary layers

AIAA Journal ◽  
1989 ◽  
Vol 27 (1) ◽  
pp. 15-22 ◽  
Author(s):  
Richard A. Wahls ◽  
Richard W. Barnwell ◽  
Fred R. DeJarnette
Keyword(s):  
Finite Difference ◽  
Boundary Layers ◽  
Outer Layer ◽  
Turbulent Boundary Layers ◽  
Layer Method

Velocity Profiles of Turbulent Boundary Layers

1969 ◽  
Vol 73 (698) ◽  
pp. 143-147 ◽  
Author(s):  
M. K. Bull
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Velocity Profile ◽  
Boundary Layers ◽  
Experimental Work ◽  
Constant Pressure ◽  
Velocity Profiles ◽  
Turbulent Boundary Layers ◽  
Boundary Layer Equations

Although a numerical solution of the turbulent boundary-layer equations has been achieved by Mellor and Gibson for equilibrium layers, there are many occasions on which it is desirable to have closed-form expressions representing the velocity profile. Probably the best known and most widely used representation of both equilibrium and non-equilibrium layers is that of Coles. However, when velocity profiles are examined in detail it becomes apparent that considerable care is necessary in applying Coles's formulation, and it seems to be worthwhile to draw attention to some of the errors and inconsistencies which may arise if care is not exercised. This will be done mainly by the consideration of experimental data. In the work on constant pressure layers, emphasis tends to fall heavily on the author's own data previously reported in ref. 1, because the details of the measurements are readily available; other experimental work is introduced where the required values can be obtained easily from the published papers.

BOUNDARY LAYER CALCULATIONS ON CYLINDERS OF RANKINE-OVAL SECTIONS

1989 ◽  
Vol 13 (3) ◽  
pp. 65-68 ◽  
Author(s):  
M. ABDULHADI
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Approximate Calculation ◽  
Separation Line ◽  
Boundary Layer Equations ◽  
Finite Difference Form ◽  
Difference Form ◽  
Long Cylinder

An approximate calculation of the boundary layer parameters around a long cylinder of Rankine-oval section is carried out. The calculations are undertaken as a step-by-step analysis using the finite-difference form of the integral formulations of the boundary layer equations. The separation line of the boundary layer for an oval of thickness = 0.2 is located in the rear portion of the oval in a plane making an angle of 137° with the direction of the flow.

Application of a General Finite-Difference Method to Boundary Layer Flows

1972 ◽  
Vol 1 (3) ◽  
pp. 146-152
Author(s):  
S. D. Katotakis ◽  
J. Vlachopoulos
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Boundary Layer Flows ◽  
Boundary Layer Problem ◽  
Boundary Layer Equations ◽  
Temperature Boundary ◽  
Dimensional Boundary ◽  
Finite Difference Solution ◽  
Suction Or Injection ◽  
Layer Problem

A straight-forward and general finite-difference solution of the boundary layer equations is presented. Several problems are examined for laminar flow conditions. These include velocity and temperature boundary layers over a flat plate, linearly retarded flows and several cases of suction or injection. The results obtained are in excellent agreement with existing accurate solutions. It appears that any kind of steady, two-dimensional boundary layer problem can be solved thus with accuracy and speed.

Small-scale characteristics of a turbulent boundary layer over a rough wall

1997 ◽  
Vol 342 ◽  
pp. 263-293 ◽  
Author(s):  
H. S. SHAFI ◽  
R. A. ANTONIA
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Outer Layer ◽  
Large Scale ◽  
Energy Dissipation Rate ◽  
Wall Layer ◽  
Rough Wall ◽  
Small Scale ◽  
Smooth Wall ◽  
Velocity Derivative

Measurements of the spanwise and wall-normal components of vorticity and their constituent velocity derivative fluctuations have been made in a turbulent boundary layer over a mesh-screen rough wall using a four-hot-wire vorticity probe. The measured spectra and variances of vorticity and velocity derivatives have been corrected for the effect of spatial resolution. The high-wavenumber behaviour of the spectra conforms closely with isotropy. Over most of the outer layer, the normalized magnitudes of the velocity derivative variances differ significantly from those over a smooth wall layer. The differences are such that the variances are much more nearly isotropic over the rough wall than on the smooth wall. This behaviour is consistent with earlier observations that the large-scale structure in this rough wall layer is more isotropic than that in a smooth wall layer. Isotropy-based approximations for the mean energy dissipation rate and mean enstrophy are consequently more reliable in this rough wall layer than in a smooth wall layer. In the outer layer, the vorticity variances are slightly larger than those over a smooth wall; reflecting structural differences between the two flows.

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