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Multiphase flows:Analytical solutions and Stability Analysis
broucher Course Brochure
Multiphase flows:Analytical solutions and Stability Analysis
by Prof S Pushpavanam

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 ...

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Program Fee
FREE
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 ...

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Course Curriculum
1 Sections | 43 Lecture | 34h 30min total length
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Multiphase flows:Analytical solutions and Stability Analysis

Multiphase flows:Analytical solutions and Stability Analysis

| 34h 30min total length
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    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

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    Scaling Analysis: Introduction

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    Scaling Analysis: Worked Examples

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    Interfacial tension and its role in Multiphase flows

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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

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

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    Normal and shear stresses on arbitrary surfaces: Force balance

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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; ?>
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    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

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    Turing patterns: Instability in reaction-diffusion systems

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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; ?>
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    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

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