Recent Contributions to the Method of Characteristics for Three-dimensional Problems in Gas Dynamics

Recent Contributions to the Method of Characteristics for Three-dimensional Problems in Gas Dynamics
Author: Maurice Holt
Publisher:
Total Pages: 44
Release: 1974
Genre: Gas dynamics
ISBN:

The numerical method of characteristics for problems in three or more independent variables are reviewed. Particular emphasis is laid on recent methods developed in Germany; notably the optimal characteristic method of Bruhn + Haack and Schaetz, and the near characteristics method of Sauer. In all these methods, difference equations are established in their most compact form and, at each point, all outer directional derivatives are in one plane. In Sauer's method, this plane is always parallel to a fixed plane. The methods are all derived rigorously and satisfy conditions of equivalence, uniqueness, and convergence. The optimal characteristics method has been applied very successfully to the problem of unsteady flow through a Laval nozzle. (Modified author abstract).

One-Dimensional Compressible Flow

One-Dimensional Compressible Flow
Author: H. Daneshyar
Publisher: Elsevier
Total Pages: 192
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483146758

One-Dimensional Compressible Flow explores the physical behavior of one-dimensional compressible flow. Various types of flow in one dimension are considered, including isentropic flow, flow through a convergent or a convergent-divergent duct with varying back pressure, flow with friction or heat transfer, and unsteady flow. This text consists of five chapters and begins with an overview of the main concepts from thermodynamics and fluid mechanics, with particular emphasis on the basic conservation equations for mass, momentum, and energy that are derived for time-dependent flow through a control volume. The chapters that follow provide a basis for understanding steady flow with area change, friction, or heat transfer. A method for solving unsteady flow problems is described in the final chapter, which also discusses the propagation of small disturbances and unsteady flow with finite changes in fluid properties. This book will be useful to senior students pursuing a degree course in mechanical engineering and to engineers in industry.

One-Dimensional Compressional Flow

One-Dimensional Compressional Flow
Author: H. Daneshyar
Publisher: Elsevier
Total Pages: 192
Release: 2016-06-06
Genre: Technology & Engineering
ISBN: 1483105490

One-dimensional Compressible Flow is an introduction to compressible flow. The book covers the main concepts from thermodynamics and fluid mechanics, including the continuity and momentum equations and the laws of thermodynamics; the steady flow with area change, friction, or heat transfer; and the one-dimensional steady flow. The text also gives an introduction to the method of characteristics for solving unsteady flow problems. Charts and tables are provided in the book for performing steady flow calculations. The book is useful to students pursuing a degree course in mechanical engineering and practicing mechanical engineer.

Gas Dynamics

Gas Dynamics
Author: Maurice Joseph Zucrow
Publisher:
Total Pages: 492
Release: 1976
Genre: Gas dynamics
ISBN:

Unsteady Motion of Continuous Media

Unsteady Motion of Continuous Media
Author: K. P. Stanyukovich
Publisher: Elsevier
Total Pages: 760
Release: 2016-01-21
Genre: Science
ISBN: 1483226123

Unsteady Motion of Continuous Media covers the technical applications in the study of rapidly occurring processes in unsteady motion of continuous media. This 15-chapter text focuses on the detonation and explosion processes. The introductory chapters review the mathematical and thermodynamic methods of gas dynamics, as well as the fundamental equations of non-stationary gas dynamics. The succeeding chapters deal with the concept of self-similar motion, solutions of equations, one-dimensional isentropic motions, and the elementary theory of shock waves. Considerable chapters are devoted to the mechanisms and principles of detonation wave, its propagation and unsteady motion in condensed media. These topics are followed by discussions of the propulsion of bodies by a gas stream; the motion of gas in a gravitational field; and the limiting motion of rarefield and very dense media. The concluding chapter presents some problems in the relativistic mechanics of solid medium. This book will prove useful to physicists, applied mathematicians, and chemical engineers.

Theoretical Computational Dynamics

Theoretical Computational Dynamics
Author: Pai
Publisher: CRC Press
Total Pages: 724
Release: 1997-03-01
Genre: Mathematics
ISBN: 9780442303105

Emphasis of this text is on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems. Published by Science Press, Beijing, distributed by VNR in the US. Annotation copyrighted by Book News, Inc., Portland, OR