Overview
- Leads reader from basic conservation laws via equations of multiple mathematical models to classical DCF problems
- Includes the flow chocking in supersonic outflow from reservoir
- Supports the reader in achieving this goal and to help him learn the basics of DCM
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About this book
Compressibility is a property inherent in any material, but it does not always manifest itself. Experience suggests that it affects the medium motion only at velocities comparable to the speed of sound.
Why do we study compressibility? It turns out that in order to calculate the aircraft streamlining or the internal flow in its engine, or the shell muzzle velocity, or the dynamic load of a shock wave from an accidental blast on a structural element, and in many other cases it is necessary to know and understand the laws of the Dynamics of Compressible Media (DCM) and be able to apply them in practice. This textbook is designed to help readers achieve this goal and learn the basics of DCM.
This field of knowledge is high-tech and always focuses on the future: modern developments of hypersonic aircraft, designing more advanced structural elements for airplanes and helicopters, calculating the car aerodynamics, etc.
Paradoxes have always given impetus to thesearch for new technological devices. Unusual effects in DCM include the flow chocking in supersonic outflow from reservoirs (Sect.2.2); the shock wave formation inside an initially smooth flow (Sect.5.3); the generation of a "spallation saucer" of armor inside a tank when a shell hits it (Sect.5.5); the dog-leg of a plane discontinuity surface at shockwave reflection from a rigid wall (Sec.8.1).
The way to understand these and other effects is through the creation of quantitative models of a moving compressible fluid.
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Keywords
- Compressible fluids
- General equations of gas motions
- Mathematical models for classes of flows
- Euler’s, Lagrange’s and Riemann’s variables
- Methods of obtaining problem solutions
- Normal and oblique shock theories; shock effects
- Initial-boundary-value problem formulations
- How compressibility affects gas flows
- Gradient disaster
- Classical problems of Compressible Fluid Dynamics:
- Riemann, Cauchy, Goursat, Lagrange, Laval, Sedov problems
- Variety of gasdynamic problems in the general formulation
- In-depth analysis of wave interactions
- Node-level algorithms of inherent numerical methods
- Strong point blast
- Wave drag
- Barrel flow
Table of contents (8 chapters)
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Front Matter
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One-Dimensional Steady Gas Flow
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Front Matter
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One-Dimensional Unsteady Gas Flow
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Front Matter
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Steady Two-Dimensional Plane Flow
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Oleksandr Georgiyevich Girin was born on 1st of February, 1951, in the city of Zhytomir, Ukraine.
Educational background: O. G. Girin graduated from the Novosibirsk State University (Department of Hydrodynamics) in 1973 with a degree in Mechanics, Applied Mathematics. He worked on his specialist diploma and defended it in the Lavrent'ev Institute of Hydrodynamics. Being a graduate student, he worked as a laboratory assistant in the Research Laboratory of Explosive Processes at the Lavrentiev Institute of Hydrodynamics. After graduating university, he worked at Altay Research Institute, Biysk, Altay Region, Russia, as an engineer and junior researcher. From 1976 to 1979, he was a postgraduate student at Odessa State University, Odessa, Ukraine. In 1979–1984, he worked in the Department of Theoretical Mechanics as an assistant and junior lecturer. He received his Ph.D. Diploma in Theoretical Physics from Odessa State University in 1984. He was then hired as a lecturer and an associate professor at Odessa State University. For the next 24 years, he worked as an associate professor in the Department of Theoretical Mechanics, lecturing the following courses: theoretical mechanics, fluid dynamics, gas dynamics, dynamics of viscous fluids, dynamics of heterogeneous media, numerical methods in gas dynamics, special chapters of computational fluid dynamics, theory of combustion and detonation. He gave lecture courses, conducted practical classes and laboratory works, supervised diploma works. From 1989 to 1998, he was deputy dean of the Faculty of Mathematics and Mechanics for scientific work. He is an author of lecture courses "Gas Dynamics" (in Ukrainian, 2007) and "Numerical Methods in Gas Dynamics" (in Ukrainian, 2006). Both courses were approved by the Ministry of Education and Science of Ukraine as textbooks for mechanics departments of universities and published by "Astroprint" Publishing House at theOdesa National University with the stamp of the Ministry. Later in 2012, these courses were published by Palmarium Academic Publishing, Deutschland, as a combined textbook "Fundamentals and Numerical Methods of Gas Dynamics” (in Russian). In 2010, he worked at Odesa State Environmental University, Odesa, Ukraine, as an associate professor at Department of General and Theoretical Physics. He taught lecture courses, practical studying and laboratory works.
Scientific interests of him lie in theoretical gas dynamics; hydrodynamic instability of gas–liquid interface; modelling and investigation of the mechanics of liquid atomization; theory of heterogeneous media motion, in particular—detonation wave structure and its self-sustainability; investigation of the combustible mixture formation and process of explosion at detonation wave development in two-phase media; mechanisms of meteoroid ablation. He has the academic title of associate professor; he is also the author of 70 peer-reviewed articles in 15 different journals. At present, he is retired, on pension.
Bibliographic Information
Book Title: Dynamics of Compressible Fluids
Book Subtitle: A Textbook
Authors: Oleksandr Girin
DOI: https://doi.org/10.1007/978-3-031-11262-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-11261-4Published: 09 November 2022
Softcover ISBN: 978-3-031-11264-5Published: 10 November 2023
eBook ISBN: 978-3-031-11262-1Published: 08 November 2022
Edition Number: 1
Number of Pages: XXII, 304
Number of Illustrations: 128 b/w illustrations, 2 illustrations in colour
Topics: Classical and Continuum Physics, Engineering Fluid Dynamics, Materials Science, general