A Prediction Method for Turbulent Boundary Layers in Adverse Pressure Gradients

A Prediction Method for Turbulent Boundary Layers in Adverse Pressure Gradients
Author: W. H. Schofield
Publisher:
Total Pages: 16
Release: 1981
Genre: Turbulent boundary layer
ISBN: 9780642890085

A prediction method for turbulent boundary layers in moderate to strong adverse pressure gradients is presented. The closure hypothesis for the method is the universal velocity defect law of Schofield and Perry (1972) which restricts the method to the prediction of layers in moderate to strong adverse pressure gradient. The method is tested against nine experimentally measured boundary layers. Predictions for velocity profile shape, boundary layer thicknesses and velocity scale ratio were generally in good agreement with the experimental measurements and were superior to those given by other prediction methods. Unlike other methods the present method also gives reasonably accurate predictions for the shear stress profile of a layer. The analysis presented here is compared with previous work and helps to resolve some disagreements discerned in the literature.

Wall-pressure Fluctuations and Pressure-velocity Correlations in a Turbulent Boundary Layer

Wall-pressure Fluctuations and Pressure-velocity Correlations in a Turbulent Boundary Layer
Author: John S. Serafini
Publisher:
Total Pages: 88
Release: 1963
Genre: Fluid dynamics
ISBN:

This experimental study was carried out at a free-stream Mach number of 0.6 and a Reynolds number per foot of 3.45 x 106. The magnitudes of the wall-pressure fluctuations agree with the Lilley-Hodgson theoretical results. Space-time correlations of the wall-pressure fluctuations generally agree with Willmarth's results for longitudinal separation distances. The convection velocity of the fluctuations is found to increase with increasing separation distances, and its significance is explained. Measurements with the longitudinal component of the velocity fluctuations indicate that the contributions to the wall-pressure fluctuations are from two regions, an inner region near the wall and an outer region linked with the intermittency.

The Behavior of Turbulent Boundary Layers in Adverse Pressure Gradients

The Behavior of Turbulent Boundary Layers in Adverse Pressure Gradients
Author: Hal L. Moses
Publisher:
Total Pages: 85
Release: 1964
Genre: Boundary layer
ISBN:

The problem of predicting the behavior of the incompressible turbulent boundary layer in an adverse pressure gradient is re-examined. An outline of the problem is given along with a brief summary of the work that has already been done, including both experimental investigation are presented for a separating turbulent boundary layer with various pressure distributions. An approximate theory is developed in which the momentum integral equation is satisfied for each half of the boundary layer. The velocity profiles used in the analysis consist of the well known wall and wake regions, resulting in a two-parameter family with the Reynolds number as one parameter. It is assumed, with some experimental justification, that the eddy viscosity can be reasonably approximated from zero pressure gradient experimets. The numerical calculations, using the Runge-Kutta procedure, show good agreement with the experiments. The reliability that can be expected of such approximate methods is discussed. (Author).

Effects of Pressure Gradients on Turbulent Boundary-layer Wall-pressure Fluctuations

Effects of Pressure Gradients on Turbulent Boundary-layer Wall-pressure Fluctuations
Author: Howard Hubert Schloemer
Publisher:
Total Pages: 0
Release: 1966
Genre: Boundary layer noise
ISBN:

The low-turbulence subsonic wind tunnel was significantly modified so that turbulent boundary-layer pressure fluctuation measurements could be made with adequate signal-to-noise ratio over a wide frequency range. Measurements were made in a mild adverse and a mild favorable pressure gradient with natural transition occurring in the boundary layer. To make certain that the facility was operating correctly and to establish a basis for comparison, the zero-pressure gradient case was investigated. For this case, the spectral density, magnitude of the normalized longitudinal and lateral cross-spectral density functions, and convection velocity as a function of longitudinal separation and frequency were in excellent agreement with other experimenters. When comparison is made to the zero-pressure gradient in the same non-dimensionalized frequency band and at similar non-dimensionalized longitudinal spacings, the convection velocity ratio is higher in the favorable and lower in the adverse pressure gradients, primarily due to the change in shape of the mean velocity profile. The effect of an adverse pressure gradient on the non-dimensionalized spectral density is to increase the low-frequency content without influencing the high-frequency portion appreciably, when compared to the zero-pressure gradient case. (Author).

Wall Pressure Fluctuations at Smooth and Rough Surfaces Under Turbulent Boundary Layers with Favorable and Adverse Pressure Gradients

Wall Pressure Fluctuations at Smooth and Rough Surfaces Under Turbulent Boundary Layers with Favorable and Adverse Pressure Gradients
Author: Thomas E. Burton
Publisher:
Total Pages: 138
Release: 1973
Genre: Sound pressure
ISBN:

Fluctuating wall pressures under turbulent boundary layers with favorable gradients were measured at both smooth and rough walls. Wall pressure intensity was found to vary in proportion to mean wall shear stress between no- gradient and favorable-gradient flows. Adverse gradient boundary layers were studied over smooth and rough walls. These flows were not self-preserving, and results are presented as functions of longitudinal position. Pressure intensities were concentrated into a comparatively narrow band of frequencies. Pressure statistics are discussed.

Comparison of the Wall Pressure Fluctuations in Artificially Generated Turbulent Spots, Natural Transition and Turbulent Boundary Layers

Comparison of the Wall Pressure Fluctuations in Artificially Generated Turbulent Spots, Natural Transition and Turbulent Boundary Layers
Author: Thomas S. Mautner
Publisher:
Total Pages: 9
Release: 1988
Genre:
ISBN:

Experiments have been conducted to measure the wall pressure fluctuations associated with artificially generated turbulent spots in a laminar boundary layer. The results show that both the rms wall pressure and the wall pressure spectra of turbulent spots are influenced by the local mean flow pressure gradient. The zero and favorable pressure gradient wall pressure data are in agreement with turbulent boundary layer results. However, the current spot data shows that, in the presence of an adverse pressure gradient, the spot's rms wall pressure is approximately 1.5-2.5 times larger than that found for the zero and favorable pressure gradient cases. These results are in general agreement with the adverse pressure gradient data of Huang and Hannan (1975). Additionally, the nearly constant magnitude of the spot's adverse pressure gradient wall pressure spectrum indicates a nearly even distributions of energy with frequency. Keywords: Turbulent boundary layer, Laminar boundary layer, Wall pressure fluctuations.

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

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.