Shock Wave Dynamics : Derivatives and Related Topics

By (author) Emanuel, George

Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are of great practical value as examples of mathematical procedure in this field. The book focuses on shock wave derivatives under various conditions and extensively covers shock-generated vorticity, including a novel analysis of triple points. Special care is given to the presentation of assumptions, implementation requirements, and the illustrative examples included for partial verification of the preceding analysis. Designed both as a research monograph and for self study, Shock Wave Dynamics is a complete discussion of shock wave dynamics. An analytical exploration of shock wave phenomena, it will be interesting reading for experts in the field of high-speed gas dynamics. Given today's emphasis on numerical simulation, it will also be of interest to computational engineers as a source for code verification and validation.

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[目次]

  • Introduction General Jump Conditions Basis Vector System and Shock Velocity Conservation Equations Explicit Solution Illustrative Example Two-Dimensional or Axisymmetric Formulation Basis Vectors Shock-Based Curvilinear Coordinates Scale Factors Application to a Two-Dimensional or Axisymmetric Shock Transformation Equations Basis Derivatives Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream Preliminary Remarks Jump Conditions Tangential Derivatives Normal Derivatives Derivative Applications Normal Derivatives When the Shock Is Normal to the Upstream Velocity Intrinsic Coordinate Derivatives Derivatives along Characteristics Wave Reflection from a Shock Wave Flows with a Conical Shock Wave Special States I Derivatives Vorticity and Its Substantial Derivative Preliminary Remarks Vorticity Substantial Derivative of the Vorticity Generic Shock Shape Slope, Curvature, Arc Length, and Sonic Point Results Shock Wave Triple-Point Morphology Preliminary Remarks Analysis Solution Method Results and Discussion Derivatives When the Upstream Flow Is Nonuniform Preliminary Remarks Jump Conditions Tangential Derivatives Normal Derivatives Intrinsic Coordinate Derivatives Vorticity Source Flow Model General Derivative Formulation Preliminary Remarks Vector Relations Elliptic Paraboloid Shock Shock Curvatures Vorticity Jump Conditions and Tangential Derivatives Normal Derivatives Applications Unsteady, Normal Derivative Formulation Single Mach Reflection Appendices Selective Nomenclature Oblique Shock Wave Angle Method-of-Characteristics for a Single, First-Order Partial Differential Equation Orthogonal Basis Derivatives Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock when the Upstream Flow Is Nonuniform Operator Formulation General Derivative Formulation Uniform Freestream Formulation Elliptic Paraboloid Shock Formulation Global, Shock-Based Coordinates Unsteady State 2 Parameters Problems References

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この本の情報

書名 Shock Wave Dynamics : Derivatives and Related Topics
著作者等 Emanuel, George
書名別名 Derivatives and Related Topics
出版元 Taylor & Francis Inc
刊行年月 2013.02.13
ページ数 235p
ISBN 9781466564213
言語 英語
出版国 アメリカ合衆国
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