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The Propagation of Weak Shocks in a Stratified Atmosphere (Classic Reprint) - Couverture souple

Whitham, Gerald B.

 
9781332960422: The Propagation of Weak Shocks in a Stratified Atmosphere (Classic Reprint)

Synopsis

This book uncovers the characteristics and behavior of weak spherical shockwaves in air, exploring the development of a theory that describes their propagation. The author presents a detailed mathematical framework based on the linearized acoustic theory, extending it to incorporate additional space variables. The book delves into the concept of "rays," which are orthogonal trajectories of wave fronts, and their significance in understanding the expansion of wave fronts. The author introduces the concept of "characteristic surfaces," which are crucial for determining the position of shockwaves. The book explores the conditions that must be satisfied across a shockwave, ensuring the continuity of tangential velocity and the relationship between shock velocity and wave velocities. It presents a formula for calculating the strength of the shockwave, providing insights into its behavior. Through the examination of physical quantities such as velocity, pressure, and density, the book offers a comprehensive analysis of the flow patterns and dynamics of weak spherical shockwaves. It investigates the influence of atmospheric stratification and the role of the initial wave front in shaping the propagation of the shockwave. The author masterfully combines theoretical foundations and practical applications, making this book an invaluable resource for researchers, students, and anyone interested in the behavior of shockwaves in various physical systems.

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