| Description |
1 online resource (ix, 226 pages) : illustrations |
| Contents |
1.1 Fluids in the Universe 2 -- 1.2 The concept of a 'fluid element' 4 -- 1.3 Formulation of the fluid equations 5 -- 1.4 Relation between the Eulerian and Lagrangian descriptions 7 -- 1.5 Kinematical concepts 8 -- 2 The fluid equations 12 -- 2.1 Conservation of mass 12 -- 2.2 Pressure 14 -- 2.3 Momentum equations 15 -- 2.4 Momentum equation in conservative form: the stress tensor and concept of ram pressure 17 -- 3 Gravitation 20 -- 3.1 The gravitational potential 20 -- 3.2 Poisson's equation 22 -- 3.3 Using Poisson's equation 24 -- 3.4 The potential associated with a spherical mass distribution 27 -- 3.5 Gravitational potential energy 28 -- 3.6 The virial theorem 30 -- 4 The energy equation 32 -- 4.1 Ideal gases 32 -- 4.2 Barotropic equations of state: the isothermal and adiabatic cases 33 -- 4.3 Energy equation 37 -- 4.4 Energy transport 39 -- 4.5 The form of Q[subscript cool] 45 -- 5 Hydrostatic equilibrium 46 -- 5.1 Basic equations 46 -- 5.2 The isothermal slab 47 -- 5.3 An isothermal atmosphere with constant g 49 -- 5.4 Stars as self-gravitating polytropes 50 -- 5.5 Solutions for the Lane-Emden equation 52 -- 5.6 The case of n = [infinity] 55 -- 5.7 Scaling relations 56 -- 5.8 Examples of astrophysical interest 60 -- 5.9 Summary: general method for scaling relations 62 -- 6 Propagation of sound waves 63 -- 6.1 Sound waves in a uniform medium 63 -- 6.2 Propagation of sound waves in a stratified atmosphere 68 -- 6.3 General approach to wave propagation problems 73 -- 6.4 Transmission of sound waves at interfaces 74 -- 7 Supersonic flows 77 -- 7.1 Shocks 78 -- 7.2 Isothermal shocks 85 -- 8 Blast waves 89 -- 8.1 Strong explosions in uniform atmospheres 89 -- 8.2 Blast waves in astrophysics and elsewhere 96 -- 8.3 Structure of the blast wave 99 -- 8.4 Breakdown of the similarity solution 102 -- 8.5 The effects of cooling and blow out from galactic discs 104 -- 9 Bernoulli's equation 107 -- 9.1 Basic equation 107 -- 9.2 De Laval nozzle 113 -- 9.3 Spherical accretion and winds 118 -- 9.4 Stellar winds 123 -- 9.5 General steady state solutions 126 -- 10 Fluid instabilities 128 -- 10.1 Rayleigh-Taylor instability 128 -- 10.2 Gravitational instability (Jeans instability) 139 -- 10.3 Thermal instability 142 -- 10.4 Method summary 149 -- 11 Viscous flows 150 -- 11.1 Linear shear and viscosity 150 -- 11.2 Navier-Stokes equation 153 -- 11.3 Evolution of vorticity in viscous flows 157 -- 11.4 Energy dissipation in incompressible viscous flows 158 -- 11.5 Viscous flow through a circular pipe and the transition to turbulence 159 -- 12 Accretion discs in astrophysics 163 -- 12.1 Derivation of viscous evolution equations for accretion discs 165 -- 12.2 Viscous evolution equation with constant viscosity 167 -- 12.3 Steady thin discs 173 -- 12.4 Radiation from steady thin discs 176 -- 13 Plasmas 179 -- 13.1 Magnetohydrodynamic equations 180 -- 13.2 Charge neutrality 184 -- 13.3 Ideal hydromagnetic equations 186 -- 13.4 Waves in plasmas 190 -- 13.5 The Rayleigh-Taylor instability revisited 195 -- Appendix Equations in curvilinear coordinates 200 -- Books for background and further reading 222 |
| Summary |
This 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 introduce and derive the fundamental equations |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Astrophysics.
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Fluid dynamics.
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Hydrodynamics
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astrophysics.
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SCIENCE -- Physics -- Astrophysics.
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Astrophysics
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Fluid dynamics
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Astrophysik
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Strömungsmechanik
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| Form |
Electronic book
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| Author |
Carswell, Bob, 1940-
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| ISBN |
9780511649103 |
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051164910X |
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0511271387 |
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9780511271380 |
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9780511813450 |
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0511813457 |
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9780511568374 |
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0511568371 |
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