This course concentrates on obtaining analytical and semi-analytical solutions to multiphase flow problems. The emphasis is on using a very fundamental approach : equations of conservation of mass, momentum and energy without any empiricism. The focus is on getting approximate solutions using perturbation theory, and analysing stability of systems ...
This course concentrates on obtaining analytical and semi-analytical solutions to multiphase flow problems. The emphasis is on using a very fundamental approach : equations of conservation of mass, momentum and energy without any empiricism. The focus is on getting approximate solutions using perturbation theory, and analysing stability of systems ...
Stratified flow in a micro channel: Velocity profiles
49mStratified flow in a micro channel: Effects of physical parameters
47mIntroduction and overview of the course: Multiphase flows
52mFlow regimes in microchannels: Modeling and Experiments
12mScaling Analysis: Introduction
48mScaling Analysis: Worked Examples
48mInterfacial tension and its role in Multiphase flows
48mReynolds Transport Theorem and the Equation of Continuity
48mDerivation of Navier-Stokes equation
51mVector operations in general orthogonal coordinates: Grad., Div., Lapacian
51mNormal and shear stresses on arbitrary surfaces: Force balance
50mNormal and shear stresses on arbitrary surfaces: Stress Tensor formulation
54mStresses on deforming surfaces: Introduction to Perturbation Theory
50mPulsatile flow: Analytical solution
54mPulsatile flow: Analytical solution and perturbation solution
48mViscous heating: Apparent viscosity in a viscometer
55mDomain perturbation methods: Flow between wavy walls
55mFlow between wavy walls: Velocity profile
46mIntroduction to stability of dynamical systems: ODEs
58mStability of distributed systems (PDEs): reaction diffusion example
49mStability of a reaction-diffusion system contd
43mRayleigh-Benard convection: Physics and governing equations
48mRayleigh-Benard convection: Linear stability analysis part 1
49mRayleigh-Benard convection: Linear stability analysis part 2
48mRayleigh-Benard convection: Linear stability analysis part 3
50mRayleigh Benard convection: Discussion of results
49mRayleigh-Taylor ‘heavy over light’ instability
50mRayleigh-Taylor instability contd
48mCapillary jet instability: Problem formulation
51mCapillary jet instability: Linear stability analysis
48mCapillary jet instability: Rayleigh’s Work Principle
44mTutorial Session: Solution of Assignment 4 on linear stability
50mTuring patterns: Instability in reaction-diffusion systems
50mTuring patterns: Results
42mMarangoni convection: Generalised tangential and normal stress boundary conditions
42mMarangoni convection: Stability analysis
42mFlow in a circular curved channel: Governing equations and scaling
49mFlow in a circular curved channel: Solution by regular perturbation
40mStability of flow through curved channels: Problem formulation
51mStability of flow through curved channels: Numerical calculation
37mViscous Fingering: Darcy’s law
48mViscous Fingering: Stability analysis
47mShallow Cavity flows
47m