Course10310611346 lectures
Multiphase flows:Analytical solutions and Stability Analysis
Prof. S.Pushpavanam · IIT Madras
Lectures
Multiphase flows:Analytical solutions and Stability Analysis
- 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 contd
- Rayleigh-Benard convection: Physics and governing equations
- Rayleigh-Benard convection: Linear stability analysis part 1A
- Rayleigh-Benard convection: Linear stability analysis part 1B
- Rayleigh-Benard convection: Linear stability analysis part 2
- Rayleigh-Benard convection: Linear stability analysis part 3
- 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: Rayleigh’s 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: Darcy’s law
- Viscous Fingering: Stability analysis
- Shallow Cavity flows
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Chemical Engineering
- Teacher
- Prof. S.Pushpavanam
- Level
- Undergraduate
- Language
- English
- Subjects
- Chemistry, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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