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Principles of astrophysical fluid dynamics 1st Edition by Cathie Clarke, Bob Carswell ISBN 1107666910 978-1107666917

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Author(s): Cathie Clarke, Bob Carswell
ISBN(s): 9780521853316, 0521853311
Edition: 1
File Details: PDF, 1.38 MB
Year: 2007
Language: english
SKU: EB-899378 Category: Tags: ,

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Product details:

ISBN 10: 1107666910
ISBN 13: 978-1107666917
Author: Cathie Clarke, Bob Carswell 

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, first published in 2007, 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 contains over fifty exercises. It is based on the authors’ many years of teaching their astrophysical fluid dynamics course at the University of Cambridge.

Principles of astrophysical fluid dynamics 1st Table of contents:

Chapter 1 Introduction to concepts

1.1 Fluids in the Universe

1.2 The concept of a `fluid element’

1.3 Formulation of the fluid equations

1.4 Relation between the Eulerian and Lagrangian descriptions

1.5 Kinematical concepts

Chapter 2 The fluid equations

2.1 Conservation of mass

2.2 Pressure

2.3 Momentum equations

2.4 Momentum equation in conservative form: the stress tensor and concept of ram pressure

Chapter 3 Gravitation

3.1 The gravitational potential

3.2 Poisson’s equation

3.3 Using Poisson’s equation

3.3.1 A spherically symmetric mass distribution

3.3.2 An infinite cylindrically symmetric mass distribution

3.3.3 An infinite planar distribution: Rho = Rho(z) symmetric about z = 0

3.3.4 A finite axisymmetric disc, symmetric about z = 0

3.4 The potential associated with a spherical mass distribution

3.5 Gravitational potential energy

3.6 The virial theorem

Chapter 4 The energy equation

4.1 Ideal gases

4.2 Barotropic equations of state: the isothermal and adiabatic cases

4.3 Energy equation

4.4 Energy transport

4.4.1 Cosmic rays

4.4.2 Conduction

4.4.3 Convection

4.4.4 Radiation

4.5 The form of Qcool

Chapter 5 Hydrostatic equilibrium

5.1 Basic equations

5.2 The isothermal slab

5.3 An isothermal atmosphere with constant g

5.4 Stars as self-gravitating polytropes

5.5 Solutions for the Lane–Emden equation

5.5.1 Solution for n = 0

5.5.2 Solution for n = 1

5.5.3 Solution for n = 5

5.6 The case of n=…

5.7 Scaling relations

5.8 Examples of astrophysical interest

5.9 Summary: general method for scaling relations

Chapter 6 Propagation of sound waves

6.1 Sound waves in a uniform medium

6.2 Propagation of sound waves in a stratified atmosphere

6.3 General approach to wave propagation problems

6.4 Transmission of sound waves at interfaces

Chapter 7 Supersonic flows

7.1 Shocks

7.2 Isothermal shocks

Chapter 8 Blast waves

8.1 Strong explosions in uniform atmospheres

8.1.1 Approximate method

8.1.2 Similarity solution

8.2 Blast waves in astrophysics and elsewhere

8.3 Structure of the blast wave

8.4 Breakdown of the similarity solution

8.5 The effects of cooling and blow out from galactic discs

Chapter 9 Bernoulli’s equation

9.1 Basic equation

9.2 De Laval nozzle

9.3 Spherical accretion and winds

9.4 Stellar winds

9.5 General steady state solutions

Chapter 10 Fluid instabilities

10.1 Rayleigh–Taylor instability

10.1.1 Convective instability

Astrophysical applications

Stable configuration

10.1.2 Stratified fluids

Surface gravity waves

Static stratified fluid under gravity

Astrophysical application

Kelvin–Helmholtz instability

10.2 Gravitational instability (Jeans instability)

10.3 Thermal instability

10.3.1 Thermal instability in astrophysical fluids

10.4 Method summary

Chapter 11 Viscous flows

11.1 Linear shear and viscosity

11.2 Navier–Stokes equation

11.3 Evolution of vorticity in viscous flows

11.4 Energy dissipation in incompressible viscous flows

11.5 Viscous flow through a circular pipe and the transition to turbulence

Chapter 12 Accretion discs in astrophysics

12.1 Derivation of viscous evolution equations for accretion discs

12.2 Viscous evolution equation with constant viscosity

12.2.1 Comment on the viscosity in accretion discs

12.3 Steady thin discs

12.4 Radiation from steady thin discs

Chapter 13 Plasmas

13.1 Magnetohydrodynamic equations

13.2 Charge neutrality

13.3 Ideal hydromagnetic equations

13.4 Waves in plasmas

13.5 The Rayleigh–Taylor instability revisited

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