Compressible fluid dynamics and shock waves
著者
書誌事項
Compressible fluid dynamics and shock waves
Springer, c2020
- タイトル別名
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Assyuku sei ryuutai rikigaku shougeki ha
圧縮性流体力学・衝撃波
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注記
Originally published: Tokyo : Corona Pub., c2017
Includes bibliographical references
内容説明・目次
内容説明
This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics.
The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.
目次
1. Propagation of pressure waves1.1 Propagation of sound wave1.2 Sound waves from free flight body1.3 Motion of beads system and wave propagation1.3.1 Piston-bead collision1.3.2 Bead-bead collision1.3.3 Motions of piston and beads1.3.4 Characteristic velocities1.3.5 Averaged particle velocity1.3.6 Kinetic energies1.3.7 Compression ratio1.3.8 Force on piston1.4 Pressure wave propagation in collision between solids
2. Motions of gas particles related to thermodynamics2,1 Fundamentals of thermodynamics2.2 Thermal speed and flow velocity2.3 Pressure2.4 Energy and temperature2.5 Ideal gas and its equation of state2.6 Entropy2.7 Enthalpy, total temperature and total pressure2.8 Multi-component gas
3. Basic equations for flow3.1 Conservation equations3.1.1 Conservation of mass3.1.2 Conservation of momentum3.1.3 Conservation of energy3.1.4 Other relations3.1.5 Similarity in inviscid flow3.2 Galilean transformation3.2.1 Inertial frame of reference3.2.2 Galilean transformation3.2.3 Application to flow conservation equations4. Discontinuity4.1 Conditions and categories4.1.1 Rankine-Hugoniot relations4.1.2 Categories4.2 Normal shock wave4.2.1 General relations4.2.2 Relations for thermally perfect gas4.2.3 Glancing incidence4.2.4 Stability of shock wave4.2.5 Shock propagation with boundary layer4.3 Oblique shock wave4.3.1 Relations for oblique shock wave4.3.2 Mach wave4.3.3 Dual solutions4.3.4 Attached and detached shock waves4.4 Instability of discontinuities4.4.1 Rayleigh-Taylor instability4.4.2 Richtmyer-Meshkov instability4.4.3 Kelvin-Helmholtz instability
5. Quasi-one-dimensional flows5.1 Control volume and basic equations5.1.1 Control volume5.1.2 Conservation of mass5.1.3 Conservation of momentum5.1.4 Conservation of energy5.1.5 Equation of state5.1.6 Speed of sound5.1.7 Flow Mach number5.1.8 Relation among derivatives5.2 Flow characteristics5.2.1 Influence coefficients5.2.2 Effects of duct cross-sectional area5.2.3 Effects of heating/cooling5.2.4 Effects of friction5.2.5 Effects of volume force5.2.6 Choking condition5.3 Duct flow with friction
6. System with source terms6.1 Generalized Rankine-Hugoniot relations6.2 Detonation/deflagration6.2.1 Regime of solution6.2.2 Detonation6.2.3 Deflagration6.2.4 Variation in entropy6.2.5 Variation in energy6.2.6 ZDN model6.2.7 Cellular structure in detonation6.3 Ram accelerator6.3.1 Operation principle and performance6.3.2 Derivation of thrust6.3.3 Thermally choking6.3.4 Experiments6.4 General form for jet propulsion6.5 Air-breathing engine
7. Two-dimensional flows7.1 Compression/expansion waves and Prandtl-Meyer function7.2 Prandtl-Meyer expansion7.3 Supersonic flow over a cone7.4 Shock wave reflection7.4.1 Reflection patterns in steady flows7.4.2 Shock polar7.4.3 Two-shock theory7.4.4 Three-shock theory7.4.5 Transition criteria7.4.6 Exercise: Supersonic flow over triangle wing
8. Unsteady, one-dimensional flows8.1 Sound wave8.2 Characteristics and invariants8.3 Compression waves8.4 Expansion waves8.5 Pressure wave propagation over normal shock wave8.6 Shock propagation in variable-area duct8.7 Blast waves
9. Riemann problem9.1 Definition and solution of the problem9.2 Shock tube9.3 Reflection of normal shock wave9.4 Reflection of expansion fan9.5 Interaction between normal shocks9.5.1 Head-on collision9.5.2 Catching up with another normal shock9.6 Interaction between shock wave and contact surface
10. Method of characteristics10.1 Design of supersonic nozzle10.1.1 Treatments for characteristic and flow10.1.2 Design procedures of Laval nozzle10.2 Wave diagram of shock tube operation
11. Generation and applications of compressible flows11.1 Nozzle and orifice11.1.1 Isentropic relations withr duct cross-sectional area11.1.2 Flow rate11.1.3 Thrust11.1.4 Nozzle pressure ratio and its effects on flow/wave pattern11.2 Supersonic diffuser11.2.1 One-dimensional treatments11.2.2 Multi-dimensional effects11.2.3 Pseudo shock wave11.3 Test methods of supersonic flow11.3.1 Supersonic wind tunnel11.3.2 Supersonic free flight11.4 Unsteady drive11.5 Shock tunnel11.6 Expansion tube11.7 Ballistic range
12. Shock-like phenomena12.1 Shallow water flows12.2 Traffic flows12.2.1 Equilibrium model12.2.2 Equation of motion and characteristics12.2.3 Particle model
AppendixA1. Derivative operator in various coordinatesA2. Conservation equations on curvilinear framesA3. Stress tensor in compressible fluidsA4. Isentropic compressibilityA5. Derivation of characteristics and invariants in ageneral form
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