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On the Equations of a Thick Axisymmetric Turbulent Boundary Layer

On the Equations of a Thick Axisymmetric Turbulent Boundary Layer
Author: Virendrakumar Chaturbhai Patel
Publisher:
Total Pages: 46
Release: 1973
Genre: Boundary value problems
ISBN:

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An examination of the Reynolds equations for axisymmetric turbulent flow where the thickness of the boundary layer is of the same order as the transverse radius of curvature of the surface shows that neither the boundary layer nor the potential flow outside it may be calculated independently of the other, owing to significant interactions between the two flow regimes. Following a discussion of various procedures for extending conventional thin boundary-layer calculation methods to treat thick axisymmetric turbulent boundary-layers, a method is proposed for the simultaneous solution of the boundary layer and the potential flow equations, allowing the two flow regimes to interact. (Author Modified Abstract).


Thick Axisymmetric Turbulent Boundary Layer and Wake of a Low-drag Body

Thick Axisymmetric Turbulent Boundary Layer and Wake of a Low-drag Body
Author: Yu-Tai Lee
Publisher:
Total Pages: 240
Release: 1978
Genre: Turbulent boundary layer
ISBN:

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Detailed measurements of pressure distributions, mean velocity profiles and Reynolds stresses were made in the thick, axisymmetric boundary layer and the near wake of a low-drag body of revolution. These measurements shed some light on the joint influence of transverse and longitudinal surface curvatures and pressure gradients on the boundary-layer development and on the manner in which an axisymmetric boundary layer becomes a fully-developed wake. The present data have been used to provide an independent check on the accuracy of the simple integral method proposed by Patel, and its extension to the calculation of the near wake made by Nakayama, Patel and Landweber. Calculations have also been performed using the differential equations of the thick axisymmetric turbulent boundary layer and a rate equation for the Reynolds stress derived from the turbulent kinetic-energy equation along the lines suggested by Bradshaw and others. It is shown that the boundary layer in the tail region of a body of revolution is dominated by the extra strain rates arising from longitudinal and transverse surface curvatures. A new differential method is incorporated into the iterative procedure developed by Nakayama, Patel and Landweber for the solution of the interaction between the boundary layer, the wake and the external inviscid flow. The results of the iterative method have been compared with the experimental data obtained from the present low-drag body and those obtained earlier on a modified spheroid to demonstrate agreement. (Author).


A Simple Integral Method for the Calculation of Real-gas Turbulent Boundary Layers with Variable Edge Entropy

A Simple Integral Method for the Calculation of Real-gas Turbulent Boundary Layers with Variable Edge Entropy
Author: Charles B. Johnson
Publisher:
Total Pages: 54
Release: 1971
Genre: Entropy
ISBN:

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Simple integral method for calculating real gas turbulent boundary layers with variable edge entropy and flight calculations showing effect of nose bluntness at 6.09 km/sec.


Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles

Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles
Author: David L. Whitfield
Publisher:
Total Pages: 52
Release: 1978
Genre: Axial flow
ISBN:

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A shear-work integral method is developed for calculating compressible turbulent boundary layers on planar or axisymmetric bodies. This method differs from other integral techniques primarily in the velocity profile and the velocity-temperature relation used. The velocity profile is an analytical expression that depends on the local values of skin friction, shape factor, and Reynolds number based on momentum thickness, thus no new parameters not already occurring in the integral equations are introduced. The velocity- temperature relation is also an analytical expression that describes the total- temperature overshoot near the outer edge of turbulent adiabatic wall boundary layers with nonunity Prandtl number and recovery factor. The method is fast, easy to use, and shown to provide good agreement with experimental data. The resulting computer code is relatively small. A computer program listing that is applicable to the calculation of impermeable, adiabatic wall, turbulent boundary layers for Mach numbers up to three is included.


Integral Methods in the Theory of the Boundary Layer

Integral Methods in the Theory of the Boundary Layer
Author: Lev Gerasimovich Loĭt͡si͡anskiĭ
Publisher:
Total Pages: 64
Release: 1944
Genre: Boundary layer
ISBN:

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The application of the well-known basic principle of mechanics, the principle of Jourdain, to problems of the theory of the boundary layer leads to an equation from which the equations of Von Karman, Leibenson, and Golubev are derived as special cases. The given equation may be employed in other integral methods. The present paper deals with the method of the variation of the thickness of the boundary layer. A number of new approximate formulas valuable in aerodynamic calculations for the fristion distribution are derived from this procedure. The method has been applied only to laminar boundary layers, but it seems probable that it may be generalized to include turbulent layers as well.


Analysis of Turbulent Boundary Layers

Analysis of Turbulent Boundary Layers
Author: Tuncer Cebeci
Publisher: Elsevier
Total Pages: 423
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323151051

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Analysis of Turbulent Boundary Layers focuses on turbulent flows meeting the requirements for the boundary-layer or thin-shear-layer approximations. Its approach is devising relatively fundamental, and often subtle, empirical engineering correlations, which are then introduced into various forms of describing equations for final solution. After introducing the topic on turbulence, the book examines the conservation equations for compressible turbulent flows, boundary-layer equations, and general behavior of turbulent boundary layers. The latter chapters describe the CS method for calculating two-dimensional and axisymmetric laminar and turbulent boundary layers. This book will be useful to readers who have advanced knowledge in fluid mechanics, especially to engineers who study the important problems of design.