IIT Madras Course , Prof. S.Pushpavanam

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IIT Madras Course , Prof. S.Pushpavanam

Introduction and overview of the course: Multiphase flows - Stratified flow in a micro channel: Velocity profiles - Stratified flow in a micro channel: Effects of physical parameters - Flow regimes in microchannels: Modeling and Experiments - Scaling Analysis: Introduction - Scaling Analysis: Worked Examples - Interfacial tension and its role in Multiphase flows - Eulerian and Lagrangian approaches - Reynolds Transport Theorem and the Equation of Continuity - Derivation of Navier-Stokes equation - Vector operations in general orthogonal coordinates: Grad., Div., Lapacian - Normal and shear stresses on arbitrary surfaces: Force balance - Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation - Stresses on deforming surfaces: Introduction to Perturbation Theory - Pulsatile flow: Analytical solution - Pulsatile flow: Analytical solution and perturbation solution for Rw 1 - Pulsatile flow: Perturbation solution for Rw 1 - Viscous heating: Apparent viscosity in a viscometer - Domain perturbation methods: Flow between wavy walls - Flow between wavy walls: Velocity profile

Introduction to stability of dynamical systems: ODEs - Stability of distributed systems (PDEs): reaction diffusion example - Stability of a reaction-diffusion system - Rayleigh-Benard convection: Physics and governing equations - Rayleigh-Benard convection: Linear stability analysis - Rayleigh Benard convection: Discussion of results - Rayleigh-Taylor heavy over light instability - Rayleigh-Taylor instability contd - Capillary jet instability: Problem formulation - Capillary jet instability: Linear stability analysis - Capillary jet instability: Rayleighs Work Principle - Tutorial Session: Solution of Assignment 4 on linear stability - Turing patterns: Instability in reaction-diffusion systems - Turing patterns: Results - Marangoni convection: Generalised tangential and normal stress boundary conditions - Marangoni convection: Stability analysis - Flow in a circular curved channel: Governing equations and scaling - Flow in a circular curved channel: Solution by regular perturbation - Stability of flow through curved channels: Problem formulation - Stability of flow through curved channels: Numerical calculation - Viscous Fingering: Darcys law - Viscous Fingering: Stability analysis - Shallow Cavity flows

Introduction to stability of dynamical systems: ODEs - Stability of distributed systems (PDEs): reaction diffusion example - Stability of a reaction-diffusion system - Rayleigh-Benard convection: Physics and governing equations - Rayleigh-Benard convection: Linear stability analysis - Rayleigh Benard convection: Discussion of results - Rayleigh-Taylor heavy over light instability - Rayleigh-Taylor instability contd - Capillary jet instability: Problem formulation - Capillary jet instability: Linear stability analysis - Capillary jet instability: Rayleighs Work Principle - Tutorial Session: Solution of Assignment 4 on linear stability - Turing patterns: Instability in reaction-diffusion systems - Turing patterns: Results - Marangoni convection: Generalised tangential and normal stress boundary conditions - Marangoni convection: Stability analysis - Flow in a circular curved channel: Governing equations and scaling - Flow in a circular curved channel: Solution by regular perturbation - Stability of flow through curved channels: Problem formulation - Stability of flow through curved channels: Numerical calculation - Viscous Fingering: Darcys law - Viscous Fingering: Stability analysis - Shallow Cavity flows

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Multiphase flowsAnalytical solutions and Stability Analysis by Prof. S.Pushpavanam,Department of Chemical Engineering,IIT Madras.For more details on NPTEL visit httpnptel.ac.in

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

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