Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles

Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles PDF Author: David L. Whitfield
Publisher:
ISBN:
Category : Axial flow
Languages : en
Pages : 52

Get Book Here

Book Description
A shear-work integral method is developed for calculating compressible turbulent boundary layers on planar or axisymmetric bodies. This method differs from other integral techniques primarily in the velocity profile and the velocity-temperature relation used. The velocity profile is an analytical expression that depends on the local values of skin friction, shape factor, and Reynolds number based on momentum thickness, thus no new parameters not already occurring in the integral equations are introduced. The velocity- temperature relation is also an analytical expression that describes the total- temperature overshoot near the outer edge of turbulent adiabatic wall boundary layers with nonunity Prandtl number and recovery factor. The method is fast, easy to use, and shown to provide good agreement with experimental data. The resulting computer code is relatively small. A computer program listing that is applicable to the calculation of impermeable, adiabatic wall, turbulent boundary layers for Mach numbers up to three is included.

Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles

Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles PDF Author: David L. Whitfield
Publisher:
ISBN:
Category : Axial flow
Languages : en
Pages : 52

Get Book Here

Book Description
A shear-work integral method is developed for calculating compressible turbulent boundary layers on planar or axisymmetric bodies. This method differs from other integral techniques primarily in the velocity profile and the velocity-temperature relation used. The velocity profile is an analytical expression that depends on the local values of skin friction, shape factor, and Reynolds number based on momentum thickness, thus no new parameters not already occurring in the integral equations are introduced. The velocity- temperature relation is also an analytical expression that describes the total- temperature overshoot near the outer edge of turbulent adiabatic wall boundary layers with nonunity Prandtl number and recovery factor. The method is fast, easy to use, and shown to provide good agreement with experimental data. The resulting computer code is relatively small. A computer program listing that is applicable to the calculation of impermeable, adiabatic wall, turbulent boundary layers for Mach numbers up to three is included.

Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients

Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients PDF Author: Shimer Zane Pinckney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 68

Get Book Here

Book Description


Analysis of Turbulent Boundary Layers

Analysis of Turbulent Boundary Layers PDF Author: Tuncer Cebeci
Publisher: Elsevier
ISBN: 0323151051
Category : Technology & Engineering
Languages : en
Pages : 423

Get Book Here

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.

Compressible Turbulent Boundary Layer Computations for Flow with Longitudinal Curvature

Compressible Turbulent Boundary Layer Computations for Flow with Longitudinal Curvature PDF Author: Walter B. Sturek
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 32

Get Book Here

Book Description
A numerical study has been performed using a finite-difference boundary layer computer program that includes corrections to the equations of motion for longitudinal curvature and allows the static pressure to be specified as a known function of x and y. Calculations with and without the corrections for longitudinal curvature and pressure gradient normal to be the local surface have been compared to experimental measurements of a supersonic turbulent boundary layer flow over a surface with concave longitudinal curvature. Substantially improved agreement with experimental measurements is obtained for the calculations including corrections for wall curvature and pressure gradient normal to the local surface for density profile, skin friction coefficient, and boundary-layer integral properties.

An Investigation of the High Speed Turbulent Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient: The Compressibility transformation

An Investigation of the High Speed Turbulent Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient: The Compressibility transformation PDF Author: Constantino Economos
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 52

Get Book Here

Book Description
This report investigates the behavior of high speed turbulent boundary layer with heat transfer and streamwise pressure gradient.

An Integral Method for the Prediction of Turbulent Boundary Layer Development, Using Separate Velocity and Shear Stress Profiles

An Integral Method for the Prediction of Turbulent Boundary Layer Development, Using Separate Velocity and Shear Stress Profiles PDF Author: H. D. Harris
Publisher:
ISBN:
Category : Turbulent boundary layer
Languages : en
Pages : 366

Get Book Here

Book Description


An Investigation of the High Speed Turbulent Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient. Part 2 - The Compressibility Transformation - General Considerations

An Investigation of the High Speed Turbulent Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient. Part 2 - The Compressibility Transformation - General Considerations PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 52

Get Book Here

Book Description


Calculation of Integral Parameters of a Compressible Turbulent Boundary Layer Using a Concept of Mass Entrainment

Calculation of Integral Parameters of a Compressible Turbulent Boundary Layer Using a Concept of Mass Entrainment PDF Author: McGill University. Mechanical Engineering Research Laboratories
Publisher: McGill University, Mechanical Engineering Research Laboratories
ISBN:
Category : Boundary layer
Languages : en
Pages : 64

Get Book Here

Book Description
"The problem of determining the growth of a turbulent boundary layer under conditions occurring on ramjet air-intakes is discussed. A modified Stewartson transformation is employed to transform the compressible integral momentum equation to an equivalent incompressible plane, adopting approximate temperature-velocity relations of the Crocco and van Driest forme A semi-empirical auxiliary equation, developed by M. R. Head for incompressible flow and using the concept of mass entrainment into the boundary layer, is rearranged for use in the transformed plane. The theoretical results obtained by this method are then compared to McLafferty's lag-length theory, and to experimental data obtained by C.E. Kepler and R.L. O'Brien. It is seen that the mass entrainment theory is in good qualitative agreement with the reported data, and in reasonable quantitative agreement.The latter may be improved by postulating a relationship between temperature and velocity in the boundary layer which is in closer agreement with experiment. It appears that the mass entrainment theory indicates the point of separation of the compressible, turbulent boundary layer, in accordance with conventional incompressible separation criteria." --

Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation

Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation PDF Author: J. Boccio
Publisher:
ISBN:
Category : Equations of motion
Languages : en
Pages : 50

Get Book Here

Book Description
An analysis of the incompressible turbulent boundary layer, developing under the combined effects of mass transfer and pressure gradient, is presented in this paper. A strip-integral method is employed whereby two of the three governing equations are obtained by integrating the combined momentum and continuity equation to 50 percent and 100 percent, respectively, of the boundary-layer height. The latter equation is the usual momentum-integral equation; the former equation requires specification of shear. Accordingly, Clauser's equilibrium eddy-viscosity law is assumed valid at this point. The third and final equation is obtained by specifying that Stevenson's velocity profiles apply throughout the domain of interest, from which a skin-friction law can be derived. Comparisons of the numerical results with the experiments of McQuaid, which include combined effects of variable pressure gradient and mass transfer, show good agreement.

Calculation Methods for Compressible Turbulent Boundary Layers, 1976

Calculation Methods for Compressible Turbulent Boundary Layers, 1976 PDF Author: Dennis M. Bushnell
Publisher:
ISBN:
Category : Compressibility
Languages : en
Pages : 156

Get Book Here

Book Description