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
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ISBN:
Category : Fluid dynamics
Languages : en
Pages : 452

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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
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ISBN:
Category :
Languages : en
Pages : 38

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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.

Solution of the Three-dimensional Boundary Layer Equations by a Numerical Method

Solution of the Three-dimensional Boundary Layer Equations by a Numerical Method PDF Author: H. A. Dwyer
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ISBN:
Category : Finite differences
Languages : en
Pages : 33

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Computational Implications of the Zone of Dependence Concept for Three-dimensional Boundary Layers on a Spinning Body

Computational Implications of the Zone of Dependence Concept for Three-dimensional Boundary Layers on a Spinning Body PDF Author: Clarence W. Kitchens (Jr.)
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ISBN:
Category : Boundary layer
Languages : en
Pages : 70

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The properties of the three-dimensional boundary-layer equations and the influence of these properties on numerical solutions are examined. The three-dimensional boundary-layer equations are parabolic, but they possess a secondary hyperbolic-like, property. This hyperbolic property leads to the zone of dependence concept. It is shown that the zone of dependence concept plays an important role in obtaining accurate numerical solutions for three-dimensional boundary-layer problems; it is especially important for calculating the boundary layer on a spinning body at incidence. A simple flow field which simulates the essential features of this problem and is an exact solution of the three-dimensional boundary-layer equations is constructed.

Calculation of Three-dimensional Boundary Layers on Ship Forms

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

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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.

Validation of Three-dimensional Incompressible Spatial Direct Numerical Simulation Code

Validation of Three-dimensional Incompressible Spatial Direct Numerical Simulation Code PDF Author: Ronald D. Joslin
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ISBN:
Category : Boundary layer
Languages : en
Pages : 56

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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
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ISBN:
Category :
Languages : en
Pages : 442

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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
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ISBN:
Category : Boundary value problems
Languages : en
Pages : 144

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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).

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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Calculation of Three-dimensional Boundary Layers on Bodies at Incidence

Calculation of Three-dimensional Boundary Layers on Bodies at Incidence PDF Author: V. C. Patel
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ISBN:
Category : Turbulent boundary layer
Languages : en
Pages : 32

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Book Description
Three-dimensional thin boundary-layer equations for laminar and turbulent flows are solved by two different numerical schemes. The methods are applied to the flow over bodies of revolution at incidence and the results are compared with the available experimental data in order to study the range of validity of the classical boundary-layer approximations in regions of increasing circumferential gradients and flow reversal associated with the early stages of a free-vortex type of separation. Comparison with the DFVLR 6:1 spheroid data of Meier et al and the 4:1 combination-body data of Ramaprian, Patel and Choi indicate that the methods perform well in regions where the boundary layer remains thin but the predictions deteriorate as the boundary layer thickens. The results point out the need for the development of methods of handle thick boundary layers and viscous-inviscid interactions. (Author).