Orthogonal Coordinate Systems for Three-dimensional Boundary Layers


Book Description

The problem of choosing orthogonal, curvilinear, coordinate systems for use in boundary-layer calculations on arbitrary three-dimensional bodies is considered in some detail. A general method for the practical evaluation of the various geometrical properties of the coordinates occurring in the three-dimensional boundary-layer equations is described. A particular coordinate system which appears to be the most convenient one for ship hulls is then proposed and analyzed further.



















Boundary-Layer Theory


Book Description

A new edition of the almost legendary textbook by Schlichting completely revised by Klaus Gersten is now available. This book presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with emphasis on the flow past bodies (e.g. aircraft aerodynamics). It contains the latest knowledge of the subject based on a thorough review of the literature over the past 15 years. Yet again, it will be an indispensable source of inexhaustible information for students of fluid mechanics and engineers alike.







Calculation of Three-dimensional Boundary Layers on Ship Forms


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.




Approximation Method of Computing the Three-dimensional Laminar Boundary Layer


Book Description

In the system of curvilinear orthogonal coordinates connected with the lines of flow of an ideal fluid on the surface of a body, and disregarding the secondary currents, a method is used analogous to the method of computing the axisimetrical boundary layer. There are proposed approximation expressions for the correction factor conciliating formulas obtained with the results of the numerical computations of the equations of the three-dimensional boundary layer on the lines of flow spreading. (Author).