Dynamics of compressible fluids : a textbook

Dynamics of compressible fluids : a textbook / Oleksandr Girin.

Compressibility is a property inherent in any material, but it does not always manifest itself. Experience suggests that it affects the medium motion only at velocities comparable to the speed of sound. Why do we study compressibility? It turns out that in order to calculate the aircraft streamlinin...

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Bibliographic Details
Main Author: Girin, Oleksandr (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2022]
Subjects:
Fluid dynamics.
Compressibility.
Fluid dynamics
Compressibility
Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • Contents
  • About the Author
  • Introduction
  • 1. Scope of the Dynamics of Compressible Fluids
  • 2. The Subject Matter of Dynamics of Compressible Fluids
  • 1 General Equations of Gas Motion
  • 1.1 The Thermodynamic Model of a Perfect Gas
  • Adiabatic Formulae
  • 1.1.1 Internal State of a Gas Particle
  • Thermodynamic Variables
  • 1.1.2 Perfect Gas Model
  • Polytropic Gas
  • 1.1.3 Adiabatic Formulae
  • 1.2 Governing Equations of Gas Motion
  • Mathematical Model ...
  • 1.3 Speed of Propagation of Small Disturbances in Ideal Gas
  • Sound Speed
  • 1.4 Thermodynamics of a Moving Gas
  • 1.4.1 Bernoulli-Saint-Venant Equation
  • Enthalpy
  • 1.4.2 Stagnation Gas State
  • Isentropic Formulae
  • 1.4.3 Laval's Number
  • Other Characteristic States of a Moving Gas
  • References
  • 2 Continuous Flows
  • 2.1 Equations of One-Dimensional Steady Gas Flow
  • Rule of a Stream Reversal
  • 2.2 Gas Outflow from Reservoir
  • Saint-Venant-Vantzel Formula
  • 2.3 Supersonic Outflow Mode
  • Laval's Nozzle
  • References
  • 3 Discontinuity in a Gas Flow
  • 3.1 Conservation Laws at a Strong Discontinuity Surface
  • 3.2 Classification of Strong Discontinuities
  • Shocks
  • 3.3 Normal Shock Theory
  • 3.4 Normal Shock Regularities
  • 3.4.1 Velocity Jump
  • 3.4.2 Pressure Jump
  • 3.4.3 Density Jump
  • 3.4.4 Entropy Jump
  • 3.5 Shock Adiabatic Curve and Its Properties
  • 3.5.1 Equation of Shock Adiabatic Curve
  • 3.5.2 ``Asterisk'' Property
  • 3.5.3 Limiting Degree of Gas Compression in Shock Waves
  • 3.5.4 Approximation of Strong Shocks
  • 3.5.5 Approximation of Weak Shocks
  • References
  • 4 Governing Equations and Initial-Boundary-Value Problems
  • 4.1 Geometry of One-Dimensional Flows
  • 4.2 Equations of Motion in Euler's Form
  • Initial and Boundary Conditions
  • 4.2.1 Euler's Equations of Motion
  • 4.2.2 Initial Conditions
  • 4.2.3 Boundary Conditions
  • 4.3 Equations of Motion in Lagrange's Form
  • 4.4 Equations of Motion in Characteristic Form
  • the Characteristic ...
  • 4.5 The Method of Characteristics
  • 4.6 Generalized Cauchy Problem (Type I Problem) ...
  • 4.7 The Goursat Problem (Type II Problem)
  • 4.8 Combined Problem of a Special Type (Type III Problem)
  • 4.9 Characteristics as Trajectories of a Possible Weak Discontinuity of a Solution
  • 4.9.1 Relationships Along the Weak Discontinuity Trajectory

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