Download or read book Introduction to the Mathematical Theory of Compressible Flow written by Antonín Novotny and published by Oxford University Press, USA. This book was released on 2004-06-17 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes an index and bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow."--Jacket.
Download or read book Mathematical Theory of Compressible Fluid Flow written by Richard von Mises and published by Courier Corporation. This book was released on 2013-02-21 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to the Mathematical Theory of Compressible Flow written by Antonín;Straskraba Novotny (Ivan) and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Mathematical Theory of Compressible Flow written by A. Novotný and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide a rapid introduction to the mathematical theory of compressible flow, giving a comprehensive account of the field and all important results up to the present day. The book is written in a clear, instructive and self-contained manner and will be accessible to a wide audience.
Download or read book Introduction to the Mathematical Theory of Compressible Flow written by A. Novotny and published by . This book was released on 2004 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theory of Compressible Viscous Fluids written by Eduard Feireisl and published by Birkhäuser. This book was released on 2016-11-25 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution – by exploring in detail the “synergy” of analytical and numerical methods – the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numerical analysis and to see the connections between the two worlds. Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.
Download or read book An Introduction to Theoretical Fluid Mechanics written by Stephen Childress and published by American Mathematical Soc.. This book was released on 2009-10-09 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.
Download or read book An Introduction to Compressible Flows with Applications written by José Pontes and published by Springer Nature. This book was released on 2019-12-02 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics. Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.
Download or read book Notes on Mathematical Theory of Compressible Fluid Flow written by Richard Von Mises and published by . This book was released on 1949 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Compressible Navier Stokes Equations written by Pavel Plotnikov and published by Springer Science & Business Media. This book was released on 2012-08-04 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on the applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equations with oscillating data; new approach to the boundary value problems for transport equations. The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory.
Download or read book Three Topics in the Mathematical Theory of Compressible Flow written by G. S. S. Ludford and published by . This book was released on 1951 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical and Computational Methods for Compressible Flow written by Miloslav Feistauer and published by Oxford University Press, USA. This book was released on 2003 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.
Download or read book On Some Problems Suggested by the Mathematical Theory of Compressible Flow written by John Stanley Maybee and published by . This book was released on 1956 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Compressible Flow written by Shih-i Pai and published by . This book was released on 1959 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theory of Compressible Fluid Flow By Richard Von Mises Completed by Hilda Geiringer And G S S Ludford written by Richard Von Mises and published by . This book was released on 1958 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Geophysics written by Jean-Yves Chemin and published by Oxford University Press. This book was released on 2006-04-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms.
Download or read book Waves and Compressible Flow written by Hilary Ockendon and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.
