ASTM112 ASTROPHYSICAL FLUID DYNAMICS

J. Thompson, S. V. Vorontsov

Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, London E1 4NS

Contents

Lecture 1 Basic fluid equations

• 1.1 The material derivative
• 1.2 The continuity equation
• 1.3 The momentum equation
• 1.4 Newtonian gravity
• 1.5 The mechanical and thermal energy equations
• 1.6 Adiabatic approximation. Ideal gases

Lecture 2 Simple models of astrophysical fluids and their motions

• 2.1 Hydrostatic equilibrium for a self-gravitating body
• 2.2 Small perturbations about equilibrium
• 2.3 Lagrangian perturbations
• 2.4 Sound waves
• 2.5 Surface gravity waves

Lecture 3 Jeans instability and star formation. Spherically symmetric accretion and stellar winds

• 3.1 Jeans instability
• 3.2 Bernoulli's theorem
• 3.3 The de Laval nozzle
• 3.4 The Bondi problem
• 3.5 The Parker solar-wind solution

Lecture 4 Theory of rotating bodies

• 4.1 Equilibrium equations for a slowly rotating body
• 4.2 Binary stars
• 4.3 Dynamics of rotating stellar models

Lecture 5 Radial oscillations of stars

• 5.1 Linear adiabatic wave equations for radial oscillations
• 5.2 Boundary conditions5.3 Eigenvalue nature of the problem
• 5.4 Local dispersion relation and mode classification
• 5.5 Non-adiabatic oscillations: physical discussion of driving and damping

Lecture 6 Linear adiabatic nonradial oscillations. Helioseismology

• 6.1 Nonradial modes of oscillations of a star
• 6.2 Linear adiabatic wave equations in Cowling approximation
• 6.3 Boundary conditions
• 6.4 Mode classification in degree l
• 6.5 Local dispersion relation. Mode classification in radial order n
• 6.6 Inversion of the sound speed in solar interior

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