Teaching

Course contents

3-0-0 (L-T-P)

Topics:

Eulerian and Lagrangian descriptions of motion, equations of motion in rotating coordinate system, equation of state, energy equation, stratification, Boussinesq approximation, hydrostatic approximation, static stability

Surface gravity waves, dispersion relation, equations of motion for continuously stratified medium, method of normal modes, internal gravity waves, shallow-water equations, Poincar ́e and Kelvin waves

Vorticity equation, potential vorticity, Taylor-Proudman theorem, geostrophic and thermal wind balance, Rossby waves

Free shear flows, jets, thermals and plumes, neutral buoyancy level, entrainment, plume dispersion models

Kelvin-Helmholtz instability, thermal instability, instability of continuously stratified flows, Taylor-Goldstein equation, Richardson number criterion

Wave–mean interactions, Eliassen–Palm flux

Gravity currents, wind-driven ventilation, buoyancy-driven ventilation and stack effect

Earth’s climate. Indian monsoon and the inter-tropical convergence zone

References:

1. An Introduction to Fluid Dynamics by GK Batchelor. (Cambridge University Press, 1967).

2. Fluid Mechanics by Pijush Kundu and Ira Cohen (6th Edition, Academic Press, 2016)

3. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation by Geoffrey Vallis (2nd Edition, Cambridge University Press, 2017)

4. Geophysical Fluid Dynamics by Joseph Pedlosky (2nd Edition, Springer Verlag, 1986)

Course website: https://sites.google.com/view/apl1002023sem2/home