A Similarity Solution for a Spherical Shock Wave PDF Download
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Author: Richard Latter
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 52
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Book Description
Author: Richard Latter
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 52
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Book Description
Author: Seán Prunty
Publisher: Springer
ISBN: 9783030025649
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.
Author: Akira Sakurai
Publisher:
ISBN:
Category : Cratering
Languages : en
Pages : 152
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Book Description
Author: Eric François Brocher
Publisher:
ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 184
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Book Description
The exact 'constant-energy' solution of strong blast waves is expanded in powers of the density ratio across the shock wave; physical quantities are expressed directly as functions of the similitude parameter. The range of validity for t.;e application of this solution to hypersonic flow is then studied as a function of the density ratio. The general similar solution of the strong blast wave is found in the Newtonian approximation. The results are applied to power-law bodies in hypersonic flow using the equivalence principle. The pressure distribution on slender bodies of arbitrary shape is obtained and agrees with the Newton-Busemann pressure formula. Higher-order approximations are derived for the cases in which the shock layer is thin. A simple pressure formula is obtained and some of its applications are shown. (Author).
Author: Harry H. Calvit
Publisher:
ISBN:
Category : Metals
Languages : en
Pages : 84
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Book Description
Contents: Introduction-Reasons for Studying Spherical Shock Waves, Physics of Cavity Expan sion due to Explosive Impace, General Nature of Shock Waves, and Statement of Problem and Scope of Thesis; Brief Review of Past Work-Elastic Plastic Effects, Similarity Solutions of Equa tions of Gas Dynamics, Self-Similar Solutions of the Problem of Cratering Due to Hypervelocity Impact, and Numerical Integration of the Differ ential Equation of Spherical Blast Waves in a Gas and Hydrodynamics of Hypervelocity Impact; Self-Similar Solution for Problems with Spherical Symmetry-Theory, and Solution of the Governing Differential Equation of Self-Similar Motion; Application of the Theory of Self-Similar Motion to the Problem of Expansion of a Spherical Cavity in a Metal Due to Explosive Impact-Description of Model and Assumptions, Equations of State of Metals, Solution of the Blast Wave Problem in Aluminum, Blast Waves in Other Metals; and Con sideration of the Non-Similar Aspects of the Blast Wave Problem; Experimental Procedure and Results; Singular Point of Ordinary Dfferential Equations; Numerical Program-Fortran Program.
Author: Bahman Zohuri
Publisher: Springer
ISBN: 3319134760
Category : Technology & Engineering
Languages : en
Pages : 379
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Book Description
This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.
Author: P.L. Sachdev
Publisher: CRC Press
ISBN: 1420035193
Category : Mathematics
Languages : en
Pages : 291
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Book Description
Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and Explosions brings analytic and computational methods
Author: Richard W. Johnson
Publisher: CRC Press
ISBN: 1439849579
Category : Science
Languages : en
Pages : 1544
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Book Description
Handbook of Fluid Dynamics offers balanced coverage of the three traditional areas of fluid dynamics—theoretical, computational, and experimental—complete with valuable appendices presenting the mathematics of fluid dynamics, tables of dimensionless numbers, and tables of the properties of gases and vapors. Each chapter introduces a different fluid dynamics topic, discusses the pertinent issues, outlines proven techniques for addressing those issues, and supplies useful references for further research. Covering all major aspects of classical and modern fluid dynamics, this fully updated Second Edition: Reflects the latest fluid dynamics research and engineering applications Includes new sections on emerging fields, most notably micro- and nanofluidics Surveys the range of numerical and computational methods used in fluid dynamics analysis and design Expands the scope of a number of contemporary topics by incorporating new experimental methods, more numerical approaches, and additional areas for the application of fluid dynamics Handbook of Fluid Dynamics, Second Edition provides an indispensable resource for professionals entering the field of fluid dynamics. The book also enables experts specialized in areas outside fluid dynamics to become familiar with the field.
Author: Rajesh Kumar Sharma
Publisher: Springer Nature
ISBN: 9811972729
Category : Mathematics
Languages : en
Pages : 659
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Book Description
This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful.
Author: C.A. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3642459447
Category : Science
Languages : en
Pages : 822
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Book Description
Sect 2. 317 tinuity surfaces 1. This suggests that a wake pressure Pw be associated with each flow past a bluff body, and that a wake parameter (2. 4) which plays the same role as the cavitation parameter (2. 1), be defined for the flow. This idea has been made the basis of a modified wake theory (ef. Sect. 11) which proves to be in good qu- titative agreement with pressure and drag measurements. It should be emphasized, however, that un h like the cavitation number, the wake parameter is a quantity which is not known a priori, and must be empirically determined in each case. (3) Jet flows. The problem of jet efflux from an orifice is one of the oldest in hydrodynamics and the first to be treated by Fig. 3a. the HELMHOLTZ free streamline theory. Of particular importance for engineering applications is the discharge coefficient Cd' which is defined in terms of the discharge Q per unit time, the pressure P, and the cross-sectional area A of the orifice, by the formula, (2. 5) where e is the fluid density. Two methods of measuring Cd have been most fre quently adopted. In the first the liquid issues from an orifice in a large vessel under the influence of gravity _,-____________ . , (Fig. 3 a), while in the second it 1 L is forced out of a nozzle or pipe under high pressure (Fig. 3 b).
