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On The Equations Of A Thick Axisymmetric Turbulent Boundary Layer
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Book Synopsis On the Equations of a Thick Axisymmetric Turbulent Boundary Layer by : Virendrakumar Chaturbhai Patel
Download or read book On the Equations of a Thick Axisymmetric Turbulent Boundary Layer written by Virendrakumar Chaturbhai Patel and published by . This book was released on 1973 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Thick Axisymmetric Turbulent Boundary Layer and Wake of a Low-drag Body by : Yu-Tai Lee
Download or read book Thick Axisymmetric Turbulent Boundary Layer and Wake of a Low-drag Body written by Yu-Tai Lee and published by . This book was released on 1978 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Similarity-Law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients by :
Download or read book Similarity-Law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients written by and published by . This book was released on 1975 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Simple Integral Method for the Calculation of Thick Axisymmetric Turbulent Boundary Layers by : Virendrakumar Chaturbhai Patel
Download or read book Simple Integral Method for the Calculation of Thick Axisymmetric Turbulent Boundary Layers written by Virendrakumar Chaturbhai Patel and published by . This book was released on 1973 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thick Axisymmetric Turbulent Boundary Layer and Near Wake of a Low-drag Body of Revolution by : Virendrakumar Chaturbhai Patel
Download or read book Thick Axisymmetric Turbulent Boundary Layer and Near Wake of a Low-drag Body of Revolution written by Virendrakumar Chaturbhai Patel and published by . This book was released on 1977 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The data are presented in graphical as well as tabular form for convenience in later analysis. 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. Apart from giving a complete set of data on such an important flow configuration, the measurements should provide a fairly rigorous test case for some of the recent turbulence closure models which claim a level of generality not achieved by the older phenomenological models. By inclusion of recently proposed modifications to account for the effects of the extra rates of strain on the turbulence length scale arising from longitudinal and transverse surface curvatures, it is shown that the boundary layer in the tail region of a body of revolution is dominated by the extra strain rates and that more research is needed to account for them properly even in the most recent calculation procedures.
Book Synopsis Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients by : Shimer Zane Pinckney
Download or read book Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients written by Shimer Zane Pinckney and published by . This book was released on 1971 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Turbulent Boundary Layers by : Tuncer Cebeci
Download or read book Analysis of Turbulent Boundary Layers written by Tuncer Cebeci and published by Elsevier. This book was released on 2012-12-02 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Analytical Solution of the Thick Axisymmetric Turbulent Boundary Layer on a Long Cylinder of Constant Radius by : Nuray Denli
Download or read book An Analytical Solution of the Thick Axisymmetric Turbulent Boundary Layer on a Long Cylinder of Constant Radius written by Nuray Denli and published by . This book was released on 1978 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two similarity laws for a thick, axisymmetric, turbulent boundary layer on a long circular cylinder have been established. The validity of the assumption of constant-stress moment in the law-of-the-wall region is analyzed under the assumption of similarity. A new logarithmic mixing length, which takes into consideration the effect of transverse curvature on turbulence, is proposed for the law-of-the-wall region. With this logarithmic mixing-length models, the mean-flow momentum equation yields a law-of-the-wall relation in terms of the exponential integral in the logarithmic portion of the inner layer. Comparisons with available data and other proposed relations reveal that this logarithmic law gives a definite improvement. Also a mathematical explanation is given as to why the cylinder data do not deviate appreciably from the classical two-dimensional law-of-the-wall, even though it is observed that the turbulent characteristics, such as the size of large eddies and the turbulent intensities are much smaller than for a flat plate.
Book Synopsis The Axisymmetric Turbulent Boundary Layer on an Extremely Long Cylinder by : Frank M. White
Download or read book The Axisymmetric Turbulent Boundary Layer on an Extremely Long Cylinder written by Frank M. White and published by . This book was released on 1969 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis is presented which predicts the properties of an arbitrarily thick turbulent boundary layer in axial flow past a long cylinder. The study makes use of a modified form of the turbulent law-of-the-wall, which properly accounts for transverse curvature effects. Using this law, the theory which follows is then an exact solution to the axisymmetric equations of continuity and momentum in incompressible flow. Numerical results are given to show the effect of curvature on the various boundary layer characteristics. Skin friction and drag coefficients can be increased greatly with increasing curvature while boundary layer thickness is decreased. When defined in their axisymmetric form, the displacement and momentum thickness are both decreased by curvature. The velocity profile is flattened greatly and the shape factor approaches unity at large curvature. The failure of earlier power-law theories to make accurate predictions is shown to be due to their inadequate handling of the strong profile shape changes. (Author).
Book Synopsis A Simple Method for the Calculation of Thick Axisymmetric Turbulent Boundary Layers by : V. C. Patel
Download or read book A Simple Method for the Calculation of Thick Axisymmetric Turbulent Boundary Layers written by V. C. Patel and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary-Layer Theory by : Hermann Schlichting (Deceased)
Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.
Book Synopsis Further Study of the Thick Axisymmetric Turbulent Boundary Layer by : V. C. Patel
Download or read book Further Study of the Thick Axisymmetric Turbulent Boundary Layer written by V. C. Patel and published by . This book was released on 1978 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Preliminary Study of Thick Axisymmetric Turbulent Boundary Layers by : S. Nagano
Download or read book A Preliminary Study of Thick Axisymmetric Turbulent Boundary Layers written by S. Nagano and published by . This book was released on 1972 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contribution to the Calculation of Turbulent Boundary Layers by : Julius C. Rotta
Download or read book Contribution to the Calculation of Turbulent Boundary Layers written by Julius C. Rotta and published by . This book was released on 1951 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Herrmann Schlichting Publisher :Springer Science & Business Media ISBN 13 :9783540662709 Total Pages :840 pages Book Rating :4.6/5 (627 download)
Book Synopsis Boundary-Layer Theory by : Herrmann Schlichting
Download or read book Boundary-Layer Theory written by Herrmann Schlichting and published by Springer Science & Business Media. This book was released on 2003-05-20 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the almost legendary textbook by Schlichting completely revised by Klaus Gersten is now available. This book presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with emphasis on the flow past bodies (e.g. aircraft aerodynamics). It contains the latest knowledge of the subject based on a thorough review of the literature over the past 15 years. Yet again, it will be an indispensable source of inexhaustible information for students of fluid mechanics and engineers alike.
Book Synopsis Calculation of Compressible Turbulent Boundary Layers with Pressure Gradients and Heat Transfer by : Larry L. Lynes
Download or read book Calculation of Compressible Turbulent Boundary Layers with Pressure Gradients and Heat Transfer written by Larry L. Lynes and published by . This book was released on 1969 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Similarity-law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients by : Paul S. Granville
Download or read book Similarity-law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients written by Paul S. Granville and published by . This book was released on 1975 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
