An Analytical Investigation of the Flat Plate Turbulent Boundary Layer in Compressible Flow PDF Download

Author: Neal Tetervin
Publisher:
ISBN:
Category : Skin friction (Aerodynamics)
Languages : en
Pages : 168

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Book Description
The concepts of eddy kinematic viscosity and eddy diffusivity are used to calculate skin friction and heat transfer coefficients for the turbulent boundary layer on a flat plate. The eddy kinematic viscosity, eddy diffusivity, and turbulent Prandtl number vary across the boundary layer. The Mach number range is from zero to ten. The surface to stream temperature ratio varies from one-half to eight, and includes the insulated surface. The friction results are compared with experimental data. Velocity and temperature profiles for the entire region from the surface to the outer edge are compared with experimental data. (Author).

Author: David L. Whitfield
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 108

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Book Description
This report describes the results of analytical, numerical, and experimental investigations of incompressible and compressible boundary layers. The subjects considered are (1) Laminar and/or turbulent numerical boundary-layer calculations in which the Reynolds stress is related to the turbulent kinetic energy; (2) an analytical investigation of turbulence near a wall which is not founded on classical mixing-length theory; (3) analytical solutions for relating velocity and temperature throughout turbulent boundary layers for nonunity Prandtl numbers; (4) a description of the data reduction of pitot pressure measurements utilizing these analytical results, and (5) the application of the numerical and analytical results to the analysis of turbulent boundary-layer measurements made in the Propulsion Wind Tunnel Facility (PWT).

Author: Tuncer Cebeci
Publisher: Elsevier
ISBN: 0323151051
Category : Technology & Engineering
Languages : en
Pages : 423

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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.

Author: Julius E. Harris
Publisher:
ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 92

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Book Description
A numerical method for solving the equations for laminar, transitional, and turbulent compressible boundary layers for either planar or axisymmetric flows is presented. The fully developed turbulent region is treated by replacing the Reynolds stress terms with an eddy viscosity model. The mean properties of the transitional boundary layer are calculated by multiplying the eddy viscosity by an intermittency function based on the statistical production and growth of the turbulent spots. A specifiable turbulent Prandtl number relates the turbulent flux of heat to the eddy viscosity. A three-point implicit finite-difference scheme is used to solve the system of equations. The momentum and energy equations are solved simultaneously without iteration. Numerous test cases are compared with experimental data for supersonic and hypersonic flows; these cases include flows with both favorable and mildly unfavorable pressure gradient histories, mass flux at the wall, and traverse curvature.

Author: Shimer Zane Pinckney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 68

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Book Description

Author: Irwin E. Alber
Publisher:
ISBN:
Category : Compressibility
Languages : en
Pages : 58

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Book Description
An integral method is presented for the adiabatic compressible turbulent boundary layer which extends recent concepts of turbulent equilibrium boundary layers to the study of nonequilibrium flows. Coles' law of the wall and wake is extended to the case of compressible adiabatic flows with pressure gradient by employing Van Driest's generalized velocities. An analytical expression for the compressible turbulent equilibrium dissipation integral is then derived from the integral momentum, mean energy and local skin friction equations. For the general case of nonequilibrium flows with arbitrary pressure gradients, the dissipation integral is 'unhooked' from the equilibrium pressure gradient parameter through the use of a single empirical curve of existing incompressible flow data. Numerical solutions are then presented for a variety of compressible flows. As a first step in developing an integral method for nonadiabatic flows, the family of incompressible equilibrium enthalpy profiles are solved for from the thermal energy equation. (Author).

Author: Aubrey M. Cary
Publisher:
ISBN:
Category : Reynolds analogy
Languages : en
Pages : 28

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Book Description
Mathematical analysis of Reynolds analogy for turbulent heat transfer, skin friction, and boundary layer flow in adiabatic conditions.

Author: Jafar Mehdi Hassan
Publisher: Bentham Science Publishers
ISBN: 1681088126
Category : Science
Languages : en
Pages : 303

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Book Description
Turbulent Flow and Boundary Layer Theory: Selected Topics and Solved Problems explains fundamental concepts of turbulent flow with boundary layer analysis. A general introduction to turbulent flow familiarizes the reader with the mechanics of turbulence in fluid flow in both nature and engineering applications. The book also explains related concepts including transient flow, methods for controlling transients, turbulent models and dynamic equations for unsteady flow through closed conduits. The contents of the book are designed to help both students and teachers in carrying out turbulent flow analysis and solving problems in engineering and hydraulic applications. Key Features - all the basic concepts in turbulent flow are clearly identified and presented in a simple manner with illustrative and practical examples. - includes a self-contained approach to the subject, indicating prerequisite materials and information needed from courses. - each chapter also has a set of questions and problems to test the student’s power of comprehending the topics. - provides an exhaustive appendix on interesting examples Turbulent Flow and Boundary Layer Theory: Selected Topics and Solved Problems a useful textbook for students of engineering. It also serves as a quick reference for professionals, researchers and project consultants involved with processes that require turbulent flow and boundary layer methods analysis.

Author: Hermann Schlichting (Deceased)
Publisher: Springer
ISBN: 366252919X
Category : Technology & Engineering
Languages : en
Pages : 814

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Book Description
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.

Author: Douglas E. Abbott
Publisher:
ISBN:
Category :
Languages : en
Pages : 11

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Book Description
The report summarizes the results obtained from a three year analytical investigation of transient laminar and steady turbulent boundary layers for incompressible, two-dimensional flow. The analysis of these two classes of boundary-layer flows is based upon a solution of the appropriate partial differential equations by an approximation technique, the method of weighted residuals. Results were obtained for the transient laminar flow over a semi-infinite flat plate for both the boundary-layer equations and a modification to these equations which includes an axial diffusion term. For turbulent flows, several different boundary-layer prediction methods were developed by utilizing different turbulent shear stress models. In addition, a unified comparison of some thirty local and global shear stress models was made by comparing the predicted shear stress profiles with twelve carefully selected experimental studies taken from the literature. On the basis of this comparison, eleven different shear models were incorporated into computation schemes using the method of weighted residuals and the resulting calculations were compared in terms of computed values of the boundary-layer parameters. (Author).