FLUID DYNAMICS (6^th Semester)

SYLLABUS:

· Introduction. Kinematics and conservation laws. Euler, Navier-Stokes equations.

LECTURE

· Bernoulli equation. Hydrostatics. Gravity waves.

LECTURE

· Instability: general theory, Rayleigh-Taylor and Kelvin-Helmholtz instabilities.

LECTURE

· Introduction to turbulence. Turbulent flows and the turbulent kinetic energy.

LECTURE

• Geophysical fluid dynamics: Coordinate systems and the effect of the Earth's rotation. Scaling. Vorticity conservation.

LECTURE

• Rotation effects in geophysical flows: Geostrophic balance, Ekman dynamics, barotropic waves in the presence of rotation. Stratification effects in geophysical flows: Stratified geostrophic dynamics, internal waves

LECTURE

· Supersonic flow and shock waves. Computational fluid dynamics.

LECTURE