Multiphase flows:Analytical solutions and Stability Analysis - Study24x7

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# Multiphase flows:Analytical solutions and Stability Analysis

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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 using linear stability analysis. This will help prepare students for doing research in these areas.

• Total 1 Module
• 43 Videos
• Published on 17 July, 2019

## Multiphase flows:Analytical solutions and Stability Analysis

• Stratified flow in a micro channel: Velocity profiles

49m
• Stratified flow in a micro channel: Effects of physical parameters

47m
• Introduction and overview of the course: Multiphase flows

52m
• Flow regimes in microchannels: Modeling and Experiments

12m
• Scaling Analysis: Introduction

48m
• Scaling Analysis: Worked Examples

48m
• Interfacial tension and its role in Multiphase flows

48m
• Reynolds Transport Theorem and the Equation of Continuity

48m
• Derivation of Navier-Stokes equation

51m
• Vector operations in general orthogonal coordinates: Grad., Div., Lapacian

51m
• Normal and shear stresses on arbitrary surfaces: Force balance

50m
• Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation

54m
• Stresses on deforming surfaces: Introduction to Perturbation Theory

50m
• Pulsatile flow: Analytical solution

54m
• Pulsatile flow: Analytical solution and perturbation solution

48m
• Viscous heating: Apparent viscosity in a viscometer

55m
• Domain perturbation methods: Flow between wavy walls

55m
• Flow between wavy walls: Velocity profile

46m
• Introduction to stability of dynamical systems: ODEs

58m
• Stability of distributed systems (PDEs): reaction diffusion example

49m
• Stability of a reaction-diffusion system contd

43m
• Rayleigh-Benard convection: Physics and governing equations

48m
• Rayleigh-Benard convection: Linear stability analysis part 1

49m
• Rayleigh-Benard convection: Linear stability analysis part 2

48m
• Rayleigh-Benard convection: Linear stability analysis part 3

50m
• Rayleigh Benard convection: Discussion of results

49m
• Rayleigh-Taylor ‘heavy over light’ instability

50m
• Rayleigh-Taylor instability contd

48m
• Capillary jet instability: Problem formulation

51m
• Capillary jet instability: Linear stability analysis

48m
• Capillary jet instability: Rayleigh’s Work Principle

44m
• Tutorial Session: Solution of Assignment 4 on linear stability

50m
• Turing patterns: Instability in reaction-diffusion systems

50m
• Turing patterns: Results

42m
• Marangoni convection: Generalised tangential and normal stress boundary conditions

42m
• Marangoni convection: Stability analysis

42m
• Flow in a circular curved channel: Governing equations and scaling

49m
• Flow in a circular curved channel: Solution by regular perturbation

40m
• Stability of flow through curved channels: Problem formulation

51m
• Stability of flow through curved channels: Numerical calculation

37m
• Viscous Fingering: Darcy’s law

48m
• Viscous Fingering: Stability analysis

47m
• Shallow Cavity flows

47m

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