Excerpt from Spherical, Cylindrical and One-Dimensional Flows of Compressible Fluids
Relatively few boundary value problems involving spherical or cylindrical flows of compressible fluids have been solved exactly. In order to solve more problems of this type, particularly those involving variable entropy, we have investigated the flow differential equations, at first without regard to initial or boundary conditions. In this way a class of non-isentropic solutions of the differential equations, depending upon an arbitrary function, has been obtained. Then, in the second phase of the investigation, the arbitrary function is adjusted to satisfy particular initial or boundary conditions. In this way the free expansion of a sphere of gas into a vacuum has been treated, as well as the propagation of finite and strong shocks in variable media. The latter treatment includes Primakoff's point-blast solution as a special case.
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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book delves into the intricate world of compressible fluid flows, specifically examining spherical, cylindrical, and one-dimensional scenarios. The author presents a comprehensive framework for analyzing these flows, taking into account the complexities of variable entropy. The book's approach involves a two-phase methodology: first, exploring the fundamental differential equations governing fluid flow without immediate consideration of specific initial or boundary conditions, and then, applying these solutions to address practical problems, such as the free expansion of a gas sphere into a vacuum and the propagation of shock waves through varying media. By employing Lagrangian variables and the method of separation of variables, the author unveils a class of solutions dependent on arbitrary functions. These solutions are further specialized to address isentropic flow, which is characterized by constant entropy. The book then delves into the analysis of strong and finite shock waves in variable media, culminating in a detailed examination of Primakoff's point-blast solution, a cornerstone of high-energy explosion modeling. The book's exploration of compressible fluid flows is particularly significant for its detailed treatment of shock wave propagation in variable media, offering invaluable insights into the complex behavior of these phenomena and their impact on surrounding environments. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332199174_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332199174
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332199174
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Condition: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 26074665/1