Chemical - Multiphase flows:Analytical solutions and Stability Analysis (English)

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Lecture 1: Mod-01 Lec-01 Introduction and overview of the course: Multiphase flows

Lecture 2: Mod-01 Lec-02 Stratified flow in a micro channel: Velocity profiles

Lecture 3: Mod-01 Lec-3A Stratified flow in a micro channel: Effects of physical parameters

Lecture 4: Mod-01 Lec-3B Flow regimes in microchannels: Modeling and Experiments

Lecture 5: Mod-01 Lec-04 Scaling Analysis: Introduction

Lecture 6: Mod-01 Lec-05 Scaling Analysis: Worked Examples

Lecture 7: Mod-01 Lec-06 Interfacial tension and its role in Multiphase flows

Lecture 8: Mod-01 Lec-07 Eulerian and Lagrangian approaches

Lecture 9: Mod-01 Lec-08 Reynolds Transport Theorem and the Equation of Continuity

Lecture 10: Mod-01 Lec-09 Derivation of Navier-Stokes equation

Lecture 11: Mod-01 Lec-10 Vector operations in general orthogonal coordinates: Grad., Div., Lapacian

Lecture 12: Mod-01 Lec-11 Normal and shear stresses on arbitrary surfaces: Force balance

Lecture 13: Mod-01 Lec-12 Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation

Lecture 14: Mod-01 Lec-13 Stresses on deforming surfaces: Introduction to Perturbation Theory

Lecture 15: Mod-01 Lec-14 Pulsatile flow: Analytical solution

Lecture 16: Mod-01 Lec-30 Capillary jet instability: Rayleigh’s Work Principle

Lecture 17: Mod-01 Lec-15 Pulsatile flow: Analytical solution and perturbation solution for Rw 1

Lecture 18: Mod-01 Lec-16 Pulsatile flow: Perturbation solution for Rw 1

Lecture 19: Mod-01 Lec-17 Viscous heating: Apparent viscosity in a viscometer

Lecture 20: Mod-01 Lec-18 Domain perturbation methods: Flow between wavy walls

Lecture 21: Mod-01 Lec-19 Flow between wavy walls: Velocity profile

Lecture 22: Mod-01 Lec-20 Introduction to stability of dynamical systems: ODEs

Lecture 23: Mod-01 Lec-21 Stability of distributed systems (PDEs): reaction diffusion example

Lecture 24: Mod-01 Lec-22 Stability of a reaction-diffusion system contd

Lecture 25: Mod-01 Lec-23 Rayleigh-Benard convection: Physics and governing equations

Lecture 26: Mod-01 Lec-24A Rayleigh-Benard convection: Linear stability analysis part 1

Lecture 27: Mod-01 Lec-24B Rayleigh-Benard convection: Linear stability analysis part 2

Lecture 28: Mod-01 Lec-24C Rayleigh-Benard convection: Linear stability analysis part 3

Lecture 29: Mod-01 Lec-25 Rayleigh Benard convection: Discussion of results

Lecture 30: Mod-01 Lec-26 Rayleigh-Taylor ‘heavy over light’ instability

Lecture 31: Mod-01 Lec-27 Rayleigh-Taylor instability contd

Lecture 32: Mod-01 Lec-28 Capillary jet instability: Problem formulation

Lecture 33: Mod-01 Lec-29 Capillary jet instability: Linear stability analysis

Lecture 34: Mod-01 Lec-31 Tutorial Session: Solution of Assignment 4 on linear stability

Lecture 35: Mod-01 Lec-32 Turing patterns: Instability in reaction-diffusion systems

Lecture 36: Mod-01 Lec-33 Turing patterns: Results

Lecture 37: Mod-01 Lec-34 Marangoni convection: Generalised tangential and normal stress boundary conditions

Lecture 38: Mod-01 Lec-35 Marangoni convection: Stability analysis

Lecture 39: Mod-01 Lec-36 Flow in a circular curved channel: Governing equations and scaling

Lecture 40: Mod-01 Lec-37 Flow in a circular curved channel: Solution by regular perturbation

Lecture 41: Mod-01 Lec-38 Stability of flow through curved channels: Problem formulation

Lecture 42: Mod-01 Lec-39 Stability of flow through curved channels: Numerical calculation

Lecture 43: Mod-01 Lec-40 Viscous Fingering: Darcy’s law

Lecture 44: Mod-01 Lec-41 Viscous Fingering: Stability analysis

Lecture 45: Mod-01 Lec-42 Shallow Cavity flows