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Principles of Astrophysical Fluid Dynamics

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ISBN-10: 0521853311

ISBN-13: 9780521853316

Edition: 2007

Authors: Bob Carswell, Cathie Clarke

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Fluid dynamical forces drive most of the fundamental processes in the Universe and so play a crucial role in our understanding of astrophysics. This comprehensive textbook introduces the necessary fluid dynamics to understand a wide range of astronomical phenomena, from stellar structures to supernovae blast waves, to accretion discs. The authors? approach is to introduce and derive the fundamental equations, supplemented by text that conveys a more intuitive understanding of the subject, and to emphasise the observable phenomena that rely on fluid dynamical processes. The textbook has been developed for use by final year undergraduate and starting graduate students of astrophysics, and…    
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Book details

Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 3/8/2007
Binding: Hardcover
Pages: 238
Size: 7.25" wide x 10.00" long x 0.25" tall
Weight: 1.232
Language: English

Cathie Clarke is Reader in Theoretical Astrophysics at the University of Cambridge and Director of Studies in Astrophysics at Clare College. She developed the original course in Astrophysical Fluid Dynamics as part of Part II Astrophysics in 1996 and delivered the course 1996-9. Her research is based on accretion disc theory and star formation (both of which are strongly based on fluid dynamics) and she is the author of around 70 articles in refereed journals, plus a further 50 reviews, proceedings etc. She has taught extensively within the University of Cambridge, having also delivered lecture courses in Statistical Physics, Mathematical Methods and Galactic Dynamics, and has supervised…    

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