Three-Dimensional, Time-Dependent, Compressible, Turbulent, Integral Boundary-Layer Equations in General Curvilinear Coordinates and Their Numerical Solution

1983 ◽  
Author(s):  
Timothy W. Swafford
Keyword(s):  
Boundary Layer ◽  
Numerical Solution ◽  
Three Dimensional ◽  
Time Dependent ◽  
Curvilinear Coordinates ◽  
Integral Boundary ◽  
Boundary Layer Equations

Development and assessment of computer methods for three-dimensional turbulent boundary layers

1999 ◽  
Vol 103 (1024) ◽  
pp. 287-297
Author(s):  
J. Wu ◽  
U. R. Müller
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Turbulent Flows ◽  
Three Dimensional ◽  
Theoretical Data ◽  
Field Method ◽  
Curvilinear Coordinates ◽  
Integral Boundary ◽  
Boundary Layer Equations ◽  
Computer Methods

Abstract This paper describes the development of a finite difference method that solves the boundary-layer equations for three-dimensional compressible turbulent flows. The most prominent achievements are the employment of a Newton technique for the simultaneous solution of all governing equations, an option to choose an algebraic or a k-ε eddy-viscosity turbulence model, and the flexible use of curvilinear coordinates. The method is validated by comparisons with a number of experimental and theoretical data sets of three-dimensional, compressible and incompressible, steady and unsteady boundary layers. In parallel, the performance of a three-dimensional compressible industrial integral boundary-layer technique is evaluated by comparisons with experimental test cases and with the results of the field method.

A boundary layer theorem, with applications to rotating cylinders

1957 ◽  
Vol 2 (1) ◽  
pp. 89-99 ◽  
Author(s):  
M. B. Glauert
Keyword(s):  
Boundary Layer ◽  
Circular Cylinder ◽  
Compressible Flow ◽  
Slip Flow ◽  
Three Dimensional ◽  
Time Dependent ◽  
Boundary Layer Equations ◽  
Rotating Circular Cylinder ◽  
Quantitative Results ◽  
Explicit Formulae

If, in a given solution of the boundary layer equations, the position of the wall is varied, then additional solutions of the boundary layer equations may be deduced. The theorem considers the nature of such solution, for the general case of time-dependent three-dimensional compressible flow.Applications of the theorem arise in several different fields, and it is shown that useful quantitative results can often be obtained with the minimum of calculation. In this paper, chief attention is focused on the case of a rotating circular cylinder, and explicit formulae are developed for the skin friction, valid for sufficiently low rotational speeds. The important results which the theorem gives for slip flow have been noted by previous extenions to these previous treatments are made. Other applications of the theorem are briefly mentioned.

Three-dimensional flow near a two-dimensional stagnation point

1967 ◽  
Vol 28 (1) ◽  
pp. 149-151 ◽  
Author(s):  
A. Davey ◽  
D. Schofield
Keyword(s):  
Boundary Layer ◽  
Numerical Solution ◽  
Stagnation Point ◽  
Incompressible Flow ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Three Dimensional Flow ◽  
Dimensional Solution ◽  
Boundary Layer Equations ◽  
Viscous Incompressible Flow

This paper shows the existence of a three-dimensional solution of the boundary-layer equations of viscous incompressible flow in the immediate neighbourhood of a two-dimensional stagnation point of attachment. The numerical solution has been obtained.

Study of the Boundary Layer on Ship Forms

1970 ◽  
Vol 14 (03) ◽  
pp. 153-167
Author(s):  
W. C. Webster ◽  
T.T. Huang
Keyword(s):  
Boundary Layer ◽  
Shape Factor ◽  
Three Dimensional ◽  
Momentum Thickness ◽  
Flow Conditions ◽  
Integral Boundary ◽  
Outer Flow ◽  
Boundary Layer Equations ◽  
Pressure Distributions ◽  
Layer Flow

This paper presents a theoretical investigation of the development of the boundary layer about a ship. The "outer flow" conditions, including the streamlines and pressure distributions, are found from linearized, thin-ship theory using the method of Guilloton. Linearized, integral boundary-layer equations appropriate for three-dimensional turbulent flow are integrated numerically along the streamlines to determine the momentum thickness, the shape factor, and the angle of the boundary-layer flow to the outer flow. The results of computations for Series 60, block 0.60 and 0.80 are presented for various Froude numbers and ship lengths.

Boundary-layer equations in the linear theory of thin elastic shells

1962 ◽  
Vol 269 (1339) ◽  
pp. 481-491 ◽  
Keyword(s):  
Boundary Layer ◽  
Elastic Shell ◽  
Three Dimensional ◽  
Boundary Layer Equations ◽  
Smooth Edge ◽  
Elasticity Equations ◽  
Edge Conditions ◽  
Isotropic Elasticity ◽  
Stress Boundary Conditions ◽  
Stress Boundary

Starting with the three-dimensional equations of classical isotropic elasticity, equations are obtained for boundary-layer effects near any smooth edge of an elastic shell. Solutions of these equations are combined with solutions of the equations of the 'interior’ problem so that any specified edge conditions in terms of stresses can be satisfied. The usual Kirchhoff stress boundary conditions for the major terms of the interior stresses are deduced from the analysis.

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