Velocity Distribution on Wing Sections of Arbitrary Shape in Compressible Potential Flow


Book Description

As a first step toward the computation of the velocity distribution along a wing profile of arbitrary shape in a compressible fluid, the circulation-free flow around a symmetrical profile is treated under the assumption of the simplified density-speed relation due to Tchaplygin, Karman, and Tsien. The velocity distribution problem is reduced to a nonlinear integral equation which is solved by a fairly rapidly convergent iteration method. Numerical examples are given.




Velocity Distribution on Wing Sections of Arbitrary Shape in Compressible Potential Flow


Book Description

The method of computing velocity and pressure distributions along wing profiles under the assumption of the simplified density-speed relation, outlined in NACA Technical Note 1006, is extended to the case of a nonsymmetrical profile and a flow with circulation. The shape of the profile, the speed of the undisturbed flow, and a parameter determing the angle of attack may be prescribed. The problem is reduced to a nonlinear integral equation which can be solved numerical by an iteration method. A numerical example is given.







General Theory of High Speed Aerodynamics


Book Description

Volume VI of the High Speed Aerodynamics and Jet Propulsion series. This volume includes: physical and mathematical aspects of high speed flows; small perturbation theory; supersonic and transonic small perturbation theory; higher order approximations; nonlinear subsonic and transonic flow theory; nonlinear supersonic steady-flow theory; characteristic methods; flows with shock waves. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




Technical Note


Book Description




Nonlinear Problems of Engineering


Book Description

Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.













United States Government Publications, a Monthly Catalog


Book Description

February issue includes Appendix entitled Directory of United States Government periodicals and subscription publications; September issue includes List of depository libraries; June and December issues include semiannual index.