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Multiphase flows:Analytical solutions and Stability Analysis

Multiphase flows:Analytical solutions and Stability Analysis

Validity Unlimited Multiphase flows:Analytical solutions and Stability Analysis All Level Multiphase flows:Analytical solutions and Stability Analysis English

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About This Course

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.

  • Multiphase flows:Analytical solutions and Stability Analysis Total 1 Module
  • Multiphase flows:Analytical solutions and Stability Analysis 43 Videos
  • Multiphase flows:Analytical solutions and Stability Analysis Downloadable on mobile
  • Multiphase flows:Analytical solutions and Stability Analysis Published on 17 July, 2019

Course Curriculum

Multiphase flows:Analytical solutions and Stability Analysis

Multiphase flows:Analytical solutions and Stability Analysis
  • <?php echo  $alt; ?>

    Stratified flow in a micro channel: Velocity profiles

    49m <?php echo  $alt; ?>
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    Stratified flow in a micro channel: Effects of physical parameters

    47m <?php echo  $alt; ?>
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    Introduction and overview of the course: Multiphase flows

    52m <?php echo  $alt; ?>
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    Flow regimes in microchannels: Modeling and Experiments

    12m <?php echo  $alt; ?>
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    Scaling Analysis: Introduction

    48m <?php echo  $alt; ?>
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    Scaling Analysis: Worked Examples

    48m <?php echo  $alt; ?>
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    Interfacial tension and its role in Multiphase flows

    48m <?php echo  $alt; ?>
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    Reynolds Transport Theorem and the Equation of Continuity

    48m <?php echo  $alt; ?>
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    Derivation of Navier-Stokes equation

    51m <?php echo  $alt; ?>
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    Vector operations in general orthogonal coordinates: Grad., Div., Lapacian

    51m <?php echo  $alt; ?>
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    Normal and shear stresses on arbitrary surfaces: Force balance

    50m <?php echo  $alt; ?>
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    Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation

    54m <?php echo  $alt; ?>
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    Stresses on deforming surfaces: Introduction to Perturbation Theory

    50m <?php echo  $alt; ?>
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    Pulsatile flow: Analytical solution

    54m <?php echo  $alt; ?>
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    Pulsatile flow: Analytical solution and perturbation solution

    48m <?php echo  $alt; ?>
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    Viscous heating: Apparent viscosity in a viscometer

    55m <?php echo  $alt; ?>
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    Domain perturbation methods: Flow between wavy walls

    55m <?php echo  $alt; ?>
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    Flow between wavy walls: Velocity profile

    46m <?php echo  $alt; ?>
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    Introduction to stability of dynamical systems: ODEs

    58m <?php echo  $alt; ?>
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    Stability of distributed systems (PDEs): reaction diffusion example

    49m <?php echo  $alt; ?>
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    Stability of a reaction-diffusion system contd

    43m <?php echo  $alt; ?>
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    Rayleigh-Benard convection: Physics and governing equations

    48m <?php echo  $alt; ?>
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    Rayleigh-Benard convection: Linear stability analysis part 1

    49m <?php echo  $alt; ?>
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    Rayleigh-Benard convection: Linear stability analysis part 2

    48m <?php echo  $alt; ?>
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    Rayleigh-Benard convection: Linear stability analysis part 3

    50m <?php echo  $alt; ?>
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    Rayleigh Benard convection: Discussion of results

    49m <?php echo  $alt; ?>
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    Rayleigh-Taylor ‘heavy over light’ instability

    50m <?php echo  $alt; ?>
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    Rayleigh-Taylor instability contd

    48m <?php echo  $alt; ?>
  • <?php echo  $alt; ?>

    Capillary jet instability: Problem formulation

    51m <?php echo  $alt; ?>
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    Capillary jet instability: Linear stability analysis

    48m <?php echo  $alt; ?>
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    Capillary jet instability: Rayleigh’s Work Principle

    44m <?php echo  $alt; ?>
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    Tutorial Session: Solution of Assignment 4 on linear stability

    50m <?php echo  $alt; ?>
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    Turing patterns: Instability in reaction-diffusion systems

    50m <?php echo  $alt; ?>
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    Turing patterns: Results

    42m <?php echo  $alt; ?>
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    Marangoni convection: Generalised tangential and normal stress boundary conditions

    42m <?php echo  $alt; ?>
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    Marangoni convection: Stability analysis

    42m <?php echo  $alt; ?>
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    Flow in a circular curved channel: Governing equations and scaling

    49m <?php echo  $alt; ?>
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    Flow in a circular curved channel: Solution by regular perturbation

    40m <?php echo  $alt; ?>
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    Stability of flow through curved channels: Problem formulation

    51m <?php echo  $alt; ?>
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    Stability of flow through curved channels: Numerical calculation

    37m <?php echo  $alt; ?>
  • <?php echo  $alt; ?>

    Viscous Fingering: Darcy’s law

    48m <?php echo  $alt; ?>
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    Viscous Fingering: Stability analysis

    47m <?php echo  $alt; ?>
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    Shallow Cavity flows

    47m <?php echo  $alt; ?>

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