Lecture 1 - Introduction and overview of the course: Multiphase flows
Lecture 2 - Stratified flow in a micro channel: Velocity profiles
Lecture 3 - Stratified flow in a micro channel: Effects of physical parameters
Lecture 4 - Flow regimes in microchannels: Modeling and Experiments
Lecture 5 - Scaling Analysis: Introduction
Lecture 6 - Scaling Analysis: Worked Examples
Lecture 7 - Interfacial tension and its role in Multiphase flows
Lecture 8 - Eulerian and Lagrangian approaches
Lecture 9 - Reynolds Transport Theorem and the Equation of Continuity
Lecture 10 - Derivation of Navier-Stokes equation
Lecture 11 - Vector operations in general orthogonal coordinates: Grad., Div., Lapacian
Lecture 12 - Normal and shear stresses on arbitrary surfaces: Force balance
Lecture 13 - Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation
Lecture 14 - Stresses on deforming surfaces: Introduction to Perturbation Theory
Lecture 15 - Pulsatile flow: Analytical solution
Lecture 16 - Pulsatile flow: Analytical solution and perturbation solution for Rw 1
Lecture 17 - Pulsatile flow: Perturbation solution for Rw 1
Lecture 18 - Viscous heating: Apparent viscosity in a viscometer
Lecture 19 - Domain perturbation methods: Flow between wavy walls
Lecture 20 - Flow between wavy walls: Velocity profile
Lecture 21 - Introduction to stability of dynamical systems: ODEs
Lecture 22 - Stability of distributed systems (PDEs): reaction diffusion example
Lecture 23 - Stability of a reaction-diffusion system (Continued...)
Lecture 24 - Rayleigh-Benard convection: Physics and governing equations
Lecture 25 - Rayleigh-Benard convection: Linear stability analysis - Part 1
Lecture 26 - Rayleigh-Benard convection: Linear stability analysis - Part 2
Lecture 27 - Rayleigh-Benard convection: Linear stability analysis - Part 3
Lecture 28 - Rayleigh Benard convection: Discussion of results
Lecture 29 - Rayleigh-Taylor ‘heavy over light’ instability
Lecture 30 - Rayleigh-Taylor instability (Continued...)
Lecture 31 - Capillary jet instability: Problem formulation
Lecture 32 - Capillary jet instability: Linear stability analysis
Lecture 33 - Capillary jet instability: Rayleigh’s Work Principle
Lecture 34 - Tutorial Session: Solution of Assignment 4 on linear stability
Lecture 35 - Turing patterns: Instability in reaction-diffusion systems
Lecture 36 - Turing patterns: Results
Lecture 37 - Marangoni convection: Generalised tangential and normal stress boundary conditions
Lecture 38 - Marangoni convection: Stability analysis
Lecture 39 - Flow in a circular curved channel: Governing equations and scaling
Lecture 40 - Flow in a circular curved channel: Solution by regular perturbation
Lecture 41 - Stability of flow through curved channels: Problem formulation
Lecture 42 - Stability of flow through curved channels: Numerical calculation
Lecture 43 - Viscous Fingering: Darcy’s law
Lecture 44 - Viscous Fingering: Stability analysis
Lecture 45 - Shallow Cavity flows
