An Exact Numerical Solution of the Three-dimensional Incompressible Turbulent Boundary-layer Equations PDF Download
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Author: Jesse Lee East
Publisher:
ISBN:
Category :
Languages : en
Pages : 442
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Book Description
Author: Jesse Lee East
Publisher:
ISBN:
Category :
Languages : en
Pages : 442
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Book Description
Author: Felix J. Pierce
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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).
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Author: F J. Pierce
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ISBN:
Category : Boundary layer
Languages : en
Pages : 144
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Book Description
Author: Kua C. Chang
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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.
Author: John C. Adams
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ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 98
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Book Description
An analytical approach toward numerical calculation of the three-dimensional turbulent boundary layer on a sharp cone at incidence under supersonic and hypersonic flow conditions is presented. The theoretical model is based on implicit finite-difference integration of the governing three-dimensional turbulent boundary-layer equations in conjunction with a three-dimensional scalar eddy-viscosity model of turbulence. Comparison is made of present theory with detailed experimental measurements of the three-dimensional turbulent boundary-layer structure (velocity and temperature profiles), the surface streamline direction (obtained via an oil-flow technique) and surface heat-transfer rate.
Author: Timothy Wade Swafford
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 300
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Book Description
A method is presented for computing three-dimensional, time-dependent, compressible, turbulent boundary layers in nonorthogonal curvilinear coordinates. An integral method is employed in the interest of computational speed and because the three-dimensional method is an extension of an existing two-dimensional method. After presenting a detailed derivation of the integral form of the boundary-layer equations, the necessary auxiliary relations are given along with the relationships between integral lengths expressed in streamline and nonorthogonal coordinates. A time dependent approach is used to account for time accuracy (if desired) and to provide a method that is compatible with the surface grid used by an inviscid solver for use in viscous-inviscid interaction calculations. The equations are solved using a Runge-Kutta scheme with local time stepping to accelerate convergence. Stability and convergence of the numerical scheme are examined for various space differences compared with measurements and with computations of previous investigators.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Author: Tuncer Cebeci
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ISBN:
Category :
Languages : en
Pages : 37
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Book Description
The report presents a general method for computing three-dimensional laminar and boundary-layer flows in Cartesian coordinates. In the equations, the Reynolds shear stress terms are modeled by an eddy-viscosity formulation developed by the author. A very efficient two-point finite-difference method was used to solve the governing equations. The accuracy of the method is investigated for laminar and turbulent flows. (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 :
Languages : en
Pages : 68
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Book Description
The report presents a general method for solving the laminar and turbulent boundary layer equations for swept infinite cylinders and for small cross flows. In the equations the Reynolds shear stress terms are eliminated by using an eddy viscosity concept. An efficient two-point finite-difference method used earlier by Keller and Cebeci for two dimensional flows is used to solve the governing equations. The method has been programmed on the IBM 370/165. (Author).
