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Remarks on the Mathematical Theory of Detonation and Deflagration Waves in Gases (Classic Reprint): Supplement to the Manual on Supersonic Flow and Shock Waves - Couverture souple

Courant, Richard

 
9781334262470: Remarks on the Mathematical Theory of Detonation and Deflagration Waves in Gases (Classic Reprint): Supplement to the Manual on Supersonic Flow and Shock Waves

Synopsis

Detonation and Deflagration in One-Dimensional Gas Flow offers a rigorous look at how reaction fronts move in simple gas flows and what that implies for detonation and deflagration.

This work presents a mathematical framework aimed at clarifying which fronts are possible and how they interact with waves and boundaries.

Written as a supplement to a broader manual, it analyzes the problem from a mathematician’s viewpoint. The discussion covers conservation laws, the behavior of discontinuities, and the special role of the Chapman–Jouguet condition in determining realistic flow behind reaction fronts. The book distinguishes how detonation and deflagration differ and shows how rarefaction, compression, and shock waves can accompany reaction fronts in one-dimensional gas dynamics.

  • Definitions of key quantities and how they govern front movement in reactive gases.
  • How conservation laws apply across discontinuities and how they shape possible solutions.
  • Differences between detonation and deflagration, including the role of reaction zones and waves.
  • Insights into the Chapman–Jouguet hypothesis and its use in calculations and modeling.

Ideal for readers of advanced gas dynamics and applied mathematics, this edition helps researchers and students understand the mathematical structure behind reaction fronts in one-dimensional flows.

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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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