Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
Knowledge of the content of PHY301, PHY303 and PHY310 is
essential to follow this course.
- Ideal fluids: Conservation of mass and the equation of continuity,
Euler's equation, hydrostatics, energy and momentum flux, potential
flow, incompressible fluids. Waves in an incompressible fluid.
- Viscous fluids: Equation of motion, energy dissipation in an
incompressible fluid. Reynolds numbers. Laminar wake.
- Turbulence: Stability of flows, instability of tangential
discontinuities, transition to turbulence. Description of turbulent
flows using correlation functions. Turbulent flow and the phenomenon
of separation with examples.
- Thermal conduction in fluids, heat transfer in a boundary layer,
heating of a body in a moving fluid, convection.
- Diffusion: The equations of fluid dynamics for a mixture of fluids,
diffusion of suspended particles in a fluid.
- Surface phenomena like capillary waves.
- Sound: Sound waves, the energy and momentum of sound waves, reflection
and refraction, propagation of sound in a moving medium, absorption of
sound.
- Shocks: Propagation of disturbances in a moving gas, surfaces of
discontinuity, junction conditions, thickness of shock waves.
- One dimensional gas flow: flow of gas in a pipe, flow of gas through a
nozzle, one-dimensional travelling waves, characteristics and Riemann
invariants.
- Physics of strong explosions, Sedov-Taylor solution.
- L. D. Landau and E. M. Lifshitz, Fluid Mechanics: Volume 6
(Course of Theoretical Physics), Butterworth-Heinemann (1987).
- G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge
University Press (2000).