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| Preface | |
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| Introduction to concepts | |
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| Fluids in the Universe | |
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| The concept of a 'fluid element' | |
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| Formulation of the fluid equations | |
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| Relation between the Eulerian and Lagrangian descriptions | |
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| Kinematical concepts | |
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| The fluid equations | |
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| Conservation of mass | |
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| Pressure | |
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| Momentum equations | |
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| Momentum equation in conservative form: the stress tensor and concept of ram pressure | |
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| Gravitation | |
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| The gravitational potential | |
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| Poisson's equation | |
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| Using Poisson's equation | |
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| The potential associated with a spherical mass distribution | |
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| Gravitational potential energy | |
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| The virial theorem | |
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| The energy equation | |
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| Ideal gases | |
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| Barotropic equations of state: the isothermal and adiabatic cases | |
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| Energy equation | |
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| Energy transport | |
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| The form of Q[subscript cool] | |
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| Hydrostatic equilibrium | |
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| Basic equations | |
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| The isothermal slab | |
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| An isothermal atmosphere with constant g | |
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| Stars as self-gravitating polytropes | |
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| Solutions for the Lane-Emden equation | |
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| The case of n = [infinity] | |
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| Scaling relations | |
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| Examples of astrophysical interest | |
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| Summary: general method for scaling relations | |
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| Propagation of sound waves | |
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| Sound waves in a uniform medium | |
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| Propagation of sound waves in a stratified atmosphere | |
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| General approach to wave propagation problems | |
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| Transmission of sound waves at interfaces | |
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| Supersonic flows | |
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| Shocks | |
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| Isothermal shocks | |
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| Blast waves | |
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| Strong explosions in uniform atmospheres | |
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| Blast waves in astrophysics and elsewhere | |
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| Structure of the blast wave | |
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| Breakdown of the similarity solution | |
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| The effects of cooling and blow out from galactic discs | |
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| Bernoulli's equation | |
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| Basic equation | |
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| De Laval nozzle | |
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| Spherical accretion and winds | |
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| Stellar winds | |
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| General steady state solutions | |
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| Fluid instabilities | |
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| Rayleigh-Taylor instability | |
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| Gravitational instability (Jeans instability) | |
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| Thermal instability | |
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| Method summary | |
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| Viscous flows | |
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| Linear shear and viscosity | |
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| Navier-Stokes equation | |
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| Evolution of vorticity in viscous flows | |
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| Energy dissipation in incompressible viscous flows | |
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| Viscous flow through a circular pipe and the transition to turbulence | |
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| Accretion discs in astrophysics | |
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| Derivation of viscous evolution equations for accretion discs | |
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| Viscous evolution equation with constant viscosity | |
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| Steady thin discs | |
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| Radiation from steady thin discs | |
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| Plasmas | |
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| Magnetohydrodynamic equations | |
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| Charge neutrality | |
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| Ideal hydromagnetic equations | |
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| Waves in plasmas | |
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| The Rayleigh-Taylor instability revisited | |
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| Equations in curvilinear coordinates | |
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| Exercises | |
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| Books for background and further reading | |
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| Index | |