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Compressible Fluid Dynamics and Shock Waves

Compressible Fluid Dynamics and Shock Waves
Author: Akihiro Sasoh
Publisher: Springer Nature
Total Pages: 278
Release: 2020-01-02
Genre: Science
ISBN: 9811505047
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This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.

Compressible Fluid Flow

Compressible Fluid Flow
Author: P. H. Oosthuizen
Publisher:
Total Pages: 548
Release: 1997
Genre: Compressibility
ISBN: 9780071154260
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables

Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
Author: A. Majda
Publisher: Springer Science & Business Media
Total Pages: 167
Release: 2012-12-06
Genre: Science
ISBN: 1461211166
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Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' ... ,u ) and u(x,t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..• ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm.

An Introduction to Compressible Flow

An Introduction to Compressible Flow
Author: Forrest E. Ames
Publisher:
Total Pages: 0
Release: 2022
Genre: Compressibility
ISBN: 9780367697792
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The book covers compressible flow material in gas turbine and aerodynamics courses. It begins with a review of thermodynamics and control volume fluid dynamics, then covers isentropic flow, normal shock waves, shock tubes, oblique shock waves, Prandtl-Meyer expansion fans, Fanno-line flow, Rayleigh-line flow, and conical shock waves.

Mathematical Theory of Compressible Fluid Flow

Mathematical Theory of Compressible Fluid Flow
Author: Richard von Mises
Publisher: Courier Corporation
Total Pages: 530
Release: 2013-02-21
Genre: Mathematics
ISBN: 0486174212
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A pioneer in the fields of statistics and probability theory, Richard von Mises (1883–1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students — as well as a reference for professionals — Mathematical Theory of Compressible Fluid Flow examines the fundamentals of high-speed flows, with detailed considerations of general theorems, conservation equations, waves, shocks, and nonisentropic flows. In this, the final work of his distinguished career, von Mises summarizes his extensive knowledge of a central branch of fluid mechanics. Characteristically, he pays particular attention to the basics, both conceptual and mathematical. The novel concept of a specifying equation clarifies the role of thermodynamics in the mechanics of compressible fluids. The general theory of characteristics receives a remarkably complete and simple treatment, with detailed applications, and the theory of shocks as asymptotic phenomena appears within the context of rational mechanics.

Compressible-fluid Dynamics

Compressible-fluid Dynamics
Author: Philip A. Thompson
Publisher: McGraw-Hill Companies
Total Pages: 696
Release: 1971
Genre: Science
ISBN:
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"This book introduces the fundamentals of compressible-fluid motion, or gasdynamics."--Preface.

FUNDAMENTALS OF COMPRESSIBLE FLUID DYNAMICS

FUNDAMENTALS OF COMPRESSIBLE FLUID DYNAMICS
Author: P. BALACHANDRAN
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 604
Release: 2006-01-01
Genre: Technology & Engineering
ISBN: 9788120328570
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Compressible Fluid Dynamics (or Gas Dynamics) has a wide range of applications in Mechanical, Aeronautical and Chemical Engineering.It plays a significant role in the design and development of compressors, turbines, missiles, rockets and aircrafts. This comprehensive and systematically organized book gives a clear analysis of the fundamental principles of Compressible Fluid Dynamics. It discusses in rich detail such topics as isentropic, Fanno, Rayleigh, simple and generalised one-dimensional flows. Besides, it covers topics such as conservation laws for compressible flow, normal and oblique shock waves, and measurement in compressible flow. Finally, the book concludes with detailed discussions on propulsive devices. The text is amply illustrated with worked-out examples, tables and diagrams to enable the students to comprehend the subject with ease. Intended as a text for undergraduate students of Mechanical, Aeronautical and Chemical Engineering, the book would also be extremely useful for practising engineers.

Compressible Fluid Flow

Compressible Fluid Flow
Author: Michel A. Saad
Publisher: Prentice Hall
Total Pages: 584
Release: 1985
Genre: Science
ISBN:
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This reference develops the fundamental concepts of compressible fluid flow by clearly illustrating their applications in real-world practice through the use of numerous worked-out examples and problems. The book covers concepts of thermodynamics and fluid mechanics which relate directly to compressible flow; discusses isentropic flow through a variable-area duct; describes normal shock waves, including moving shock waves and shock-tube analysis; explores the effects of friction and heat interaction on the flow of a compressible fluid; covers two-dimensional shock and expansion waves; provides a treatment of linearized flow; discusses unsteady wave propagation and computational methods in fluid dynamics; provides several numerical methods for solving linear and nonlinear equations encountered in compressible flow; offers modern computational methods for solving nonintegrable equations; and describes methods of measurement in high-speed flow. Suitable for the practicing engineer engaged in compressible-flow applications.

Fundamentals of Compressible Flow

Fundamentals of Compressible Flow
Author: S. M. Yahya
Publisher: New Age International
Total Pages: 708
Release: 2003
Genre: Aerodynamics
ISBN: 9788122414684
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The Subject Of Compressible Flow Or Gas Dynamics Deals With The Thermo-Fluid Dynamic Problems Of Gases And Vapours. It Is Now An Important Part Of The Undergraduate And Postgraduate Curricula. Fundamentals Of Compressible Flow Covers This Subject In Fourteen Well Organised Chapters In A Lucid Style. A Large Mass Of Theoretical Material And Equations Has Been Supported By A Number Of Figures And Graphical Depictions. Author'S Sprawling Teaching Experience In This Subject And Allied Areas Is Reflected In The Clarity, And Systematic And Logical Presentation. Salient Features * Begins With Basic Definitions And Formulas. * Separate Chapters On Adiabatic Flow, Isentropic Flow And Rate Equations. * Li>Includes Basics Of The Atmosphere, And Measuring Techniques.Separate Sections On Wind Tunnels, Laser Techniques, Hot Wires And Flow Measurement. * Discusses Applications In Aircraft And Rocket Propulsion, Space Flights, And Pumping Of Natural Gas. * Contains Large Number Of Solved And Unsolved Problems.The Present Edition Has An Additional Chapter (14) On Miscellaneous Problems In Compressible Flow (Gas Dynamics). This Is Designed To Support The Tutorials, Practice Exercises And Examinations. Problems Have Been Specially Chosen For Students And Engineers In The Areas Of Aerospace, Chemical, Gas And Mechanical Engineering.