Potential Flows


Book Description

Compiling 70 well-known potential flows in a unique, convenient format, this first-of-its-kind reference provides detailed computer graphic drawings in a nondimensional style that allows each solution to be scaled to any application.







Two-dimensional Potential Flows


Book Description

Abstract: The characteristic differential equations are set up for two-dimensional potential flows. The second form of the characteristic differential equations, involving only the magnitude of the velocity and the deflection angle, are integrated. The methods of O. Walchner and of Prandtl and Busemann are discussed. Busemann's development of the pressure variation for small deflection angles is given and applied to the example of a circular arc profile. Tables are provided giving the relation between deflection angle, pressure, velocity, Mach number and Mach angle for isentropic changes of state for air (k [kappa] = 1.405).




Theoretical Analysis of Stationary Potential Flows and Boundary Layers at High Speed


Book Description

Summary: The present report consists of two parts. The first part deals with the two-dimensional stationary flow in the presence of local supersonic zones. A numerical method of integration of the equation of gas dynamics is developed. Proceeding from solutions at great distance from the body the flow pattern is calculated step by step. Accordingly the related body form is obtained at the end of the calculation. The second part treats the relationship between the displacement thickness of laminar and turbulent boundary layers and the pressure distribution at high speeds. The stability of the boundary layer is investigated, resulting in basic differences in the behavior of subsonic and supersonic flows. Lastly, the decisive importance of the boundary layer for the pressure distribution, particularly for thin profiles, is demonstrated.







Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics


Book Description

The second edition of this book is a self-contained introduction to computational fluid dynamics (CFD). It covers the fundamentals of the subject and is ideal as a text or a comprehensive reference to CFD theory and practice. - New approach takes readers seamlessly from first principles to more advanced and applied topics. - Presents the essential components of a simulation system at a level suitable for those coming into contact with CFD for the first time, and is ideal for those who need a comprehensive refresher on the fundamentals of CFD. - Enhanced pedagogy features chapter objectives, hands-on practice examples and end of chapter exercises. - Extended coverage of finite difference, finite volume and finite element methods. - New chapters include an introduction to grid properties and the use of grids in practice. - Includes material on 2-D inviscid, potential and Euler flows, 2-D viscous flows and Navier-Stokes flows to enable the reader to develop basic CFD simulations. - Includes best practice guidelines for applying existing commercial or shareware CFD tools.







Theory and Applications of Nonviscous Fluid Flows


Book Description

From the reviews: "Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." Mathematical Reviews




Mathematical Modeling of Unsteady Inviscid Flows


Book Description

This book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research. The tools covered in this book allow the reader to develop physics-based mathematical models for a variety of flows, including attached and separated flows past wings, fins, and blades of various shapes undergoing arbitrary motions. The book covers all of the ingredients of these models: the solution of potential flows about arbitrary body shapes in two- and three-dimensional contexts, with a particular focus on conformal mapping in the plane; the decomposition of the flow into contributions from ambient vorticity and body motion; generalized edge conditions, of which the Kutta condition is a special case; and the calculation of force and moment, with extensive treatments of added mass and the influence of fluid vorticity. The book also contains an extensive primer with all of the necessary mathematical tools. The concepts are demonstrated on several example problems, both classical and modern.




Viscous Flows


Book Description

Representing a unique approach to the study of fluid flows, Viscous Flows demonstrates the utility of theoretical concepts and solutions for interpreting and predicting fluid flow in practical applications. By critically comparing all relevant classes of theoretical solutions with experimental data and/or general numerical solutions, it focuses on the range of validity of theoretical expressions rather than on their intrinsic character. This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations. The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions, particularly in novel applications.