Gas Dynamics: An Introduction with Examples from Astrophysics and Geophysics
This book lays the foundations of gas- and fluid dynamics.The basic equations are developed from first principles, building on the (assumed) knowledge of Classical Mechanics. This leads to the discussion of the mathematical properties of flows, conservation laws, perturbation analysis, waves and shocks.
Most of the discussion centers on ideal (frictionless) fluids and gases. Viscous flows are discussed when considering flows around obstacles and shocks.
Many of the examples used to illustrate various processes come from astrophysics and geophysical phenomena.
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adiabatic amplitude assume atmosphere blast wave bubble calculate Cartesian coordinates comoving components conservation law consider constant coordinate system curve cylinder defined derivative dispersion relation displacement displacement vector dynamics entropy equals equation of motion equilibrium Eulerian expansion flow lines fluid element flux frequency function galaxy gradient gravitational acceleration gravitational potential hydrostatic equilibrium implies incompressible infinitesimal Jeans Instability jump conditions kinetic energy Lagrangian layer linear Mach number mass conservation momentum no-slip condition particle physical plane wave position potential flow pressure force pressure perturbation propagating quantity radiation radius result satisfies scalar shock Show solution sound speed sound waves spherical stagnation point star stellar stellar wind streamline supernova remnant surface temperature tensor termination shock thermal unit vectors unperturbed vanishes velocity viscous volume vorticity wavelength wind