› › Similarity Law Entrainment Method For Two Dimensional Turbulent Boundary Layers In Pressure Gradients

Similarity-law Entrainment Method for Two-dimensional Turbulent Boundary Layers in Pressure Gradients

Author : Paul S. Granville

Publisher :

Page : 42 pages

File Size : 28,83 MB

Release : 1975

Category : Fulid mechanics

ISBN :

Get eBook

Book Description

Analytical relations have been derived for calculating a developing two-dimensional turbulent boundary layer in a pressure gradient from two simultaneous differential equations: momentum and shape parameter. An entrainment method is used to obtained the shape parameter equation. Both equations incorporate the velocity similarity laws that provide a two-parameter velocity profile general enough to include any range of Reynolds numbers. The entrainment factor is based on the characteristics of equilibrium pressure gradients in a way which can accommodate the usual pressure gradients found in engineering applications. The method includes a newly formed wake modification for the similarity laws as well as added effects due to low Reynolds numbers. The variation of momentum loss boundary-layer thickness, local skin friction, and local velocity profile may be calculated for the boundary layers on hydrofoils and two-dimensional appendages. The various formulations are shown to correlate well with available experimental data. (Author).



Similarity-Law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients

Author :

Publisher :

Page : 37 pages

File Size : 12,27 MB

Release : 1975

Category :

ISBN :

Get eBook

Book Description

Analytical relations have been derived for calculating developing thick, axisymmetric, turbulent boundary layer in a pressure gradient from two simultaneous differential equations: momentum and shape parameter. An entrainment method is used to obtain the shape parameter equation. Both equations incorporate the velocity similarity laws that provide a two-parameter velocity profile general enough to include any range of Reynolds numbers. Newly defined quadratic shape parameters which arise from the geometry of the thick axisymmetric boundary layer are analytically related to the two-dimensional shape parameter by means of these velocity similarity laws. The variation of momentum loss, boundary-layer thickness, local skin friction, and local velocity profile may be calculated for the axisymmetric turbulent boundary layers on underwater bodies, including the thick boundary layers on the tails. The various formulations are shown to correlate well with available experimental data. (Author).



Similarity-law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients

Author : Paul S. Granville

Publisher :

Page : 34 pages

File Size : 31,14 MB

Release : 1975

Category : Boundary layer

ISBN :

Get eBook

Book Description

Analytical relations have been derived for calculating developing thick, axisymmetric, turbulent boundary layer in a pressure gradient from two simultaneous differential equations: momentum and shape parameter. An entrainment method is used to obtain the shape parameter equation. Both equations incorporate the velocity similarity laws that provide a two-parameter velocity profile general enough to include any range of Reynolds numbers. Newly defined quadratic shape parameters which arise from the geometry of the thick axisymmetric boundary layer are analytically related to the two-dimensional shape parameter by means of these velocity similarity laws. The variation of momentum loss, boundary-layer thickness, local skin friction, and local velocity profile may be calculated for the axisymmetric turbulent boundary layers on underwater bodies, including the thick boundary layers on the tails. The various formulations are shown to correlate well with available experimental data. (Author).





Analysis of Turbulent Boundary Layers

Author : Tuncer Cebeci

Publisher : Elsevier

Page : 423 pages

File Size : 24,56 MB

Release : 2012-12-02

Category : Technology & Engineering

ISBN : 0323151051

Get eBook

Book Description

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.







Handbook of Wind Energy Aerodynamics

Author : Bernhard Stoevesandt

Publisher : Springer Nature

Page : 1495 pages

File Size : 25,21 MB

Release : 2022-08-04

Category : Technology & Engineering

ISBN : 3030313077

Get eBook

Book Description

This handbook provides both a comprehensive overview and deep insights on the state-of-the-art methods used in wind turbine aerodynamics, as well as their advantages and limits. The focus of this work is specifically on wind turbines, where the aerodynamics are different from that of other fields due to the turbulent wind fields they face and the resultant differences in structural requirements. It gives a complete picture of research in the field, taking into account the different approaches which are applied. This book would be useful to professionals, academics, researchers and students working in the field.