The phenomena of shock motion including propagation,diffraction,reflection,refraction and interaction of shock waves can be studied by theoretical analyses,experimental methods and numerical calculations. Although emphasis today is placed on the detailed flow pattern obtained by experimental or computational research solving the Euler or Navier-Stokes equation,the shock wave formation can usefully be analysed by theoretical methods. This book introduces the shock dynamic method and explains the underlyingconcepts,then progresses to a systematic description of the methods,equations and applications of shock dynamics.The book broadly follows the two main categories of shock;that propagating into a quiescent gas,and that into a moving gas,including shock propagating through a non-uniform distributed flow field. The volume consists of three parts:Part Ⅰ(Chapters 1-4)describes the equations and applications of shock dynamics for quiescent uniform and non-uniform gas ahead of shock;Part Ⅱ(Chapters 5-7)then describes the application of the equations for uniform and non-uniform flows ahead of shock;Part Ⅲ (Chapters 8-10) introduces Mach reflection of shock for steady,pseudo-steady and unsteady flow;shock refraction at gas interface and the interaction between two shocks.
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目录
Preface Introduction One-Dimensional Unsteady Gasdynamics §1 Sound wave and speed of sound §2 Some basic concepts and expressions §3 One-dimensional,unsteady,homoentropic flow in a constant cross sectional tube §4 One-dimensional,unsteady flow in the general case §5 Formation of shock wave from a simple wave Part 1．Shock Dynamics for a Quiescent Gas Ahead of a Shock Wave Chapter 1．Relation Between M and A for a Uniform Quiescent Gas Ahead of a Shock Wave §1.1 Shock wave of variable strength §1.2 Chisnell's method §1.3 Whitham's method §1.4 Milton's modified relation Chapter 2．Two-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave §2.1 Fundamental concepts §2.2 Two-dimensional equations of shock dynamics §2.3 The disturbances propagating on the shock §2.4 Transformation of curvilinear orthogonal coordinate system into rectangular coordinate system §2.5 Shock-expansion and shock-compression §2.6 Theory of sound §2.7 Shock-shock Chapter 3．Three-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave §3.1 Three-dimensional equations of shock dynamics §3.2 The various forms of differential equations for a uniform quiescent gas ahead of a shock §3.3 Analogy of shock diffraction with steady supersonic flow §3.4 The shock-shock relations in the case of three-dimensional flow §3.5 Diffraction by a cone §3.6 Diffraction by a circular cylinder or a sphere §3.7 Diffraction by a thin or slender body §3.8 Internal conical diffraction §3.9 A set of simple,useful equations for external conical diffraction §3.10 Different behaviour of the triple point locus of internal and external conical diffractions Chapter 4．Equations of Shock Dynamics for a Nonuniform Quiescent Gas Ahead of a Shock Wave §4.1 Area relation along a tube §4.2 Two-dimensional equations in the orthogonal curvilinear coordinates §4.3 Three-dimensional equations for nonuniform quiescent gas §4.4 The various forms of differential equations §4.5 Characteristic relations Part 2．Shock Dynamics for a Moving Gas Ahead of a Shock Wave Chapter 5．Two-Dimensional Equations for a Uniform Moving Gas Ahead of a Shock Wave §5.1 Two frames of reference §5.2 Two-dimensional equations denoted by the function α(x,y) §5.3 Two-dimensional equations denoted by shock Mach number M and shock angle θ(Han and Yin,1989A) §5.4 The behavior of shock propagating into the uniform flow §5.5 Characteristic relations in the rectangular coordinates §5.6 Application of theory of sound to regular reflection over a wedge §5.7 Formation of a reflected shock wave §5.8 Basic relations for the calculation of reflected shock §5.9 First disturbance point and last disturbance point §5.10 The equations for axially-symmetrical flow Chapter 6．One-and Two-Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave §6.1 One-dimensional area relation for a nonuniform,steady flow ahead of a shock §6.2 Basic idea for establishing the two-dimensional equations of shock dynamics §6.3 Transformation of coordinates in any small region §6.4 Two-dimensional equations denoted by the function α(x,y)for small region §6.5 Two-dimensional equations denoted by shock Mach number M and shock angle θ for a small region §6.6 The area relation along ray tube in moving frame §6.7 The equations in stationary frame of reference for entire flow field §6.8 Shock wave-vortex interaction Chapter 7．Three-Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave §7.1 Three-dimensional shock propagating into a nonuniform flow field §7.2 Transient transformation of coordinates in three-dimensional flow §7.3 Three-dimensional equations in rectangular coordinates §7.4 Three-dimensional equations in cylindrical coordinates §7.5 Three-dimensional equations in spherical coordinates §7.6 The equations in the case of axially-symmetrical and self-similar flow field §7.7 Shock-shock relations in the case of a moving gas ahead of a shock §7.8 The application of the equations of shock dynamics to'shock-on-shock interaction' Part 3．Dynamic Phenomena of Shock Waves Chapter 8．Reflections of Shock Waves in Steady and Pseudosteady Flows §8.1 Introduction §8.2 Flow patterns §8.3 Some basic concept and analytic method §8.4 Transition criteria RR#MR in steady and pseudosteady flows §8.5 CMR,DMR and their transition §8.6 Calculation of x and x' §8.7 Effect of viscosity in pseudosteady flow §8.8 von Neumann paradox of weak Mach reflection Chapter 9．Reflections of Shock Waves in Unsteady Flow §9.1 Introduction §9.2 Shock reflection on a cylindric surface §9.3 Prediction of transition RR→MR on cylindric convex surface §9.4 Prediction of transition MR→RR on cylindric concave surface §9.5 Reflection of plane shock on double wedge Chapter 10．Refractions of Shock Waves at Interface Between Different Media and Interaction Between Shocks §10.1 Introduction §10.2 Flow patterns of shock refraction and their shock polars §10.3 Refraction of moving shock at slip surface §10.4 Application of shock dynamics to shock refraction §10.5 Numerical shock dynamics §10.6 Interaction between shocks References Nomenclature Index
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