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Essential fluid dynamics : for scientists / Jonathan Braithwaite.

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Bibliographic Details
Online Access: Online Access
Main Author: Braithwaite, Jonathan (Author)
Format: eBook
Language:English
Published: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2017]
Series:IOP (Series). Release 4.
IOP concise physics.
Subjects:
Fluid dynamics.
Table of Contents:
  • 1. Introduction
  • 1.1. The fluid approximation
  • 1.2. The hydrodynamic equations.
  • 2. Some basic concepts
  • 2.1. Visualisation
  • 2.2. Sound waves
  • 2.3. Compressibility
  • 2.4. Rotation of fluid elements
  • 2.5. Gravitationally stratified fluid.
  • 3. Steady flow of an ideal fluid
  • 3.1. Bernoulli's equation
  • 3.2. Subsonic and supersonic flow
  • 3.3. Flow through a nozzle
  • 3.4. Stellar winds and accretion.
  • 4. Viscosity
  • 4.1. The viscous stress tensor
  • 4.2. Viscous heating
  • 4.3. Examples of viscous flow
  • 4.4. Similarity and dimensionless parameters
  • 4.5. Regimes of viscous flow : example of flow past a solid body
  • 4.6. Boundary layers
  • 4.7. Heat diffusion.
  • 5. Waves and instabilities
  • 5.1. Surface gravity waves
  • 5.2. One fluid on top of another fluid
  • 5.3. Shear instability between two fluids
  • 5.4. Internal gravity waves
  • 5.5. Convection
  • 5.6. Baroclinic instability
  • 5.7. Turbulence
  • 5.8. The Jeans instability.
  • 6. Shocks
  • 6.1. Viscous versus pressure gradient force
  • 6.2. The jump conditions
  • 6.3. Contexts
  • 6.4. Hydraulic jumps.
  • 7. Vorticity and rotating fluids
  • 7.1. Vortices
  • 7.2. The vorticity equation
  • 7.3. The momentum equation in a rotating frame of reference
  • 7.4. The centrifugal force and the von Zeipel paradox
  • 7.5. The vorticity equation in a rotating frame
  • 7.6. Inertial waves
  • 7.7. The Taylor-Proudman theorem
  • 7.8. The geostrophic approximation
  • 7.9. Rossby waves.
  • 8. Magnetohydrodynamics : equations and basic concepts
  • 8.1. The MHD equations
  • 8.2. The MHD approximation
  • 8.3. The magnetic and other fields
  • 8.4. A brief note concerning units
  • 8.5. Field lines, flux conservation and flux freezing
  • 8.6. Magnetic diffusivity
  • 8.7. Magnetic pressure, tension and energy density
  • 8.8. Waves
  • 8.9. Different regimes in MHD
  • 8.10. Magnetic helicity
  • 8.11. MHD equilibria.
  • 9. MHD : astrophysical contexts
  • 9.1. The solar corona
  • 9.2. Jets : launching, collimation and instabilities
  • 9.3. Angular momentum transport in discs
  • Appendix A. Useful information.

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