Numerical Solution of the Turbulent-boundary-layer Equations PDF Download
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Author: A.M.O. Smith
Publisher:
ISBN:
Category : Compressibility
Languages : en
Pages : 284
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Book Description
The report presents a numerical solution of turbulent boundary-layer equations for both compressible and incompressible flows. An eddy viscosity concept is used to eliminate the Reynolds shear-stress term, and an eddy-conductivity concept is used to eliminate the time mean of the product of fluctuating velocity and temperature. The turbulent boundary layer is regarded as a composite layer consisting of inner and outer regions, and a separate expression for eddy viscosity is used in each region. The ratio of eddy-viscosity to eddy conductivity is assumed to be constant. An implicit finite-difference method is used in the solution of both momentum and energy equations after they are linearized. (Author).
Author: A.M.O. Smith
Publisher:
ISBN:
Category : Compressibility
Languages : en
Pages : 284
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Book Description
The report presents a numerical solution of turbulent boundary-layer equations for both compressible and incompressible flows. An eddy viscosity concept is used to eliminate the Reynolds shear-stress term, and an eddy-conductivity concept is used to eliminate the time mean of the product of fluctuating velocity and temperature. The turbulent boundary layer is regarded as a composite layer consisting of inner and outer regions, and a separate expression for eddy viscosity is used in each region. The ratio of eddy-viscosity to eddy conductivity is assumed to be constant. An implicit finite-difference method is used in the solution of both momentum and energy equations after they are linearized. (Author).
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:
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 96
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Book Description
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:
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 896
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Book Description
Author: Hyppolito do Valle Pereira
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
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Book Description
Author: Tuncer Cebeci
Publisher: Springer Science & Business Media
ISBN: 9783540402886
Category : Science
Languages : en
Pages : 140
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Book Description
After a brief review of the more popular turbulence models, the author presents and discusses accurate and efficient numerical methods for solving the boundary-layer equations with turbulence models based on algebraic formulas (mixing length, eddy viscosity) or partial-differential transport equations. A computer program employing the Cebeci-Smith model and the k-e model for obtaining the solution of two-dimensional incompressible turbulent flows without separation is discussed in detail and is presented in the accompanying CD.
Author: Virendrakumar Chaturbhai Patel
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 46
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Book Description
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).
Author: Lawrence W. Carr
Publisher:
ISBN:
Category :
Languages : en
Pages : 56
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Book Description
An implicit finite difference method is presented for the solution of problems of incompressible and compressible turbulent boundary layer flows using the phenomenological boundary layer equations in the physical plane. The turbulent motion is represented by an eddy viscosity; the method permits an arbitrary choice of the model to be used and is thus proposed as an analytical tool for the comparative study of phenomenological turbulence. Since the major changes in the flow variables occur near the wall boundary in turbulent flow, the numerical procedure incorporates a variable-step-size-differentiation in all y direction calculations so that greater accuracy can be obtained in these regions without excessive computational complexity. The relation between step sizes is arbitrary to allow the introduction of experimental data as input to the analysis. The procedure presented is recommended for analysis of turbulent flows influenced by pressure gradients or strong variations in the boundary conditions, e.g., normal or tangential injection. The incompressible flow test cases which were studied include normal injection and adverse pressure gradient. In addition, two viscosity models were studied for flat plate flow. (Author).
Author: Alice J. Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 340
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Book Description
This study combines the techniques of computational fluid dynamics and experimentation. An unsteady laminar boundary layer code was shown to be more efficient when modified to solve the momentum and energy equations using Thomas' algorithm instead of optimized successive over relaxation (SOR). A steady eddy viscosity turbulence model was then added to the code: two models for the inner region, Van Driest and Chapman, and two models for the outer region, a mixing length and Clauser were used. The computer code was verified against theoretical and experimental data from the literature. The code shows excellent results for laminar flow and each of the models showed very good agreement with turbulent experimental data. The experimental study was conducted in a Mach 6 blowdown wind tunnel. Oil flow, sublimation, liquid crystals, and thin film gages were used to examine the flow structure and heat transfer on a flat plate. The heat transfer rates from these gages were lower than from the liquid crystals. The viscid inviscid interaction flow region of flow past a blunt fin mounted on the flat plate was examined using the same flow visualization methods and possible flow interaction models are presented. Striation heating appeared when the fin incidence was 40 deg. and the sweep was 60 or 75 deg. The numerical and experimental techniques of this study were then merged. The heat transfer results from the flat plate experiment were compared with results from the computer code and were found to be in good agreement. (Thesis) (Author).
