An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary-layer Equations

An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary-layer Equations PDF Author: Felix J. Pierce
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 144

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Book Description
A method of solving the three-dimensional, incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow geometries for which experimental data exists and a comparison with this data showed excellent agreement. A complete computer program was sufficiently generalized for application to two-dimensional laminar and turbulent flows with arbitrary pressure gradients. The method was applied to several such test cases and the solutions agreed well with both theory and experiment. An analysis was presented to determine the conditions for which the finite difference equations were stable and convergent. (Author).

An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary-layer Equations

An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary-layer Equations PDF Author: Felix J. Pierce
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 144

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Book Description
A method of solving the three-dimensional, incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow geometries for which experimental data exists and a comparison with this data showed excellent agreement. A complete computer program was sufficiently generalized for application to two-dimensional laminar and turbulent flows with arbitrary pressure gradients. The method was applied to several such test cases and the solutions agreed well with both theory and experiment. An analysis was presented to determine the conditions for which the finite difference equations were stable and convergent. (Author).

An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary Layer Equations [by] F. J. Pierce and W. F. Klinksiek

An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary Layer Equations [by] F. J. Pierce and W. F. Klinksiek PDF Author: F J. Pierce
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 144

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Book Description


An Exact Numerical Solution of the Three-dimensional Incompressible Turbulent Boundary-layer Equations

An Exact Numerical Solution of the Three-dimensional Incompressible Turbulent Boundary-layer Equations PDF Author: Jesse Lee East
Publisher:
ISBN:
Category :
Languages : en
Pages : 442

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Stability of Three-dimensional Compressible Boundary Layers

Stability of Three-dimensional Compressible Boundary Layers PDF Author: Eli Reshotko
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ISBN:
Category : Aerodynamics
Languages : en
Pages : 48

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Numerical Solution of the Turbulent-boundary-layer Equations

Numerical Solution of the Turbulent-boundary-layer Equations PDF 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).

Numerical Solution of the Three-dimensional Boundary Layer Equations in the Inverse Mode Using Finite Differences

Numerical Solution of the Three-dimensional Boundary Layer Equations in the Inverse Mode Using Finite Differences PDF Author: Samir Farid Radwan
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 452

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Numerical Solution of Three-Dimensional Boundary Layer Equations

Numerical Solution of Three-Dimensional Boundary Layer Equations PDF Author: K. C. Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 38

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Book Description
Three-dimensional, incompressible, laminar boundary layer over a spinning blunt body of revolution at incidence and the associated Magnus forces are investigated. Complete solutions for two different, moderate and high, spin rates are obtained by an implicit finite-difference method. A great variety of the circumferential-velocity profiles are determined. Magnus force contributed from the circumferential skin friction and the centrifugal pressure are calculated. These two side-forces partly compensate each other. At lower spin rate, the friction force is larger resulting in a positive Magnus force. At higher spin rate, the opposite is obtained. The changes of the Magnus force from positive at lower spin rate to negative at higher spin rate was previously observed experimentally.

Computation of Incompressible, Three-dimensional Turbulent Boundary Layers and Comparison with Experiment

Computation of Incompressible, Three-dimensional Turbulent Boundary Layers and Comparison with Experiment PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 32

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Three-dimensional Turbulent Boundary Layers

Three-dimensional Turbulent Boundary Layers PDF Author: John F. Nash
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 210

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Calculation of Three-dimensional Boundary Layers on Ship Forms

Calculation of Three-dimensional Boundary Layers on Ship Forms PDF Author: Kua C. Chang
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 220

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Book Description
An implicit finite difference technique, in curvilin ear-orthogonal surface coordinates, has been developed for the solution of the differential equations of three-dimensional laminar and turbulent boundary layers on ship forms. For turbulent flow, a two-layer eddy-viscosity model has been employed as the closure model. The initial and boundary conditions required to solve the equations and the stability and accuracy of the numerical method are discussed at some length. Two mathematically-defined simple three-dimensional ship forms are studied in some detail. These are a tri-axial ellipsoid and a double elliptic ship.