Modules / Lectures
Module NameDownload

Sl.No Chapter Name English
1Introduction and overview of the course: Multiphase flowsDownload
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2Stratified flow in a micro channel: Velocity profilesDownload
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3Stratified flow in a micro channel: Effects of physical parametersDownload
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4Flow regimes in microchannels: Modeling and Experiments Download
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5Scaling Analysis: IntroductionDownload
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6Scaling Analysis: Worked ExamplesDownload
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7Interfacial tension and its role in Multiphase flowsDownload
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8Eulerian and Lagrangian approachesDownload
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9Reynolds Transport Theorem and the Equation of ContinuityDownload
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10Derivation of Navier-Stokes equation Download
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11Vector operations in general orthogonal coordinates: Grad., Div., LapacianDownload
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12Normal and shear stresses on arbitrary surfaces: Force balance Download
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13Normal and shear stresses on arbitrary surfaces: Stress Tensor formulationDownload
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14Stresses on deforming surfaces: Introduction to Perturbation Theory Download
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15Pulsatile flow: Analytical solutionDownload
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16Pulsatile flow: Analytical solution and perturbation solution for Rw<<1 Download
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17Pulsatile flow: Perturbation solution for Rw >> 1Download
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18Viscous heating: Apparent viscosity in a viscometerDownload
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19Domain perturbation methods: Flow between wavy walls Download
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20Flow between wavy walls: Velocity profileDownload
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21Introduction to stability of dynamical systems: ODEsDownload
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22Stability of distributed systems (PDEs): reaction diffusion example Download
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23Stability of a reaction-diffusion system contdDownload
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24Rayleigh-Benard convection: Physics and governing equations Download
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25Rayleigh-Benard convection: Linear stability analysis part 1ADownload
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26Rayleigh-Benard convection: Linear stability analysis part 1BDownload
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27Rayleigh-Benard convection: Linear stability analysis part 2Download
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28Rayleigh-Benard convection: Linear stability analysis part 3Download
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29Rayleigh Benard convection: Discussion of resultsDownload
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30Rayleigh-Taylor ‘heavy over light’ instability Download
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31Rayleigh-Taylor instability contdDownload
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32Capillary jet instability: Problem formulation Download
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33Capillary jet instability: Linear stability analysisDownload
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34Capillary jet instability: Rayleigh’s Work PrincipleDownload
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35Tutorial Session: Solution of Assignment 4 on linear stabilityDownload
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36Turing patterns: Instability in reaction-diffusion systemsDownload
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37Turing patterns: ResultsDownload
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38Marangoni convection: Generalised tangential and normal stress boundary conditionsDownload
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39Marangoni convection: Stability analysisDownload
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40Flow in a circular curved channel: Governing equations and scalingDownload
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41Flow in a circular curved channel: Solution by regular perturbationDownload
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42Stability of flow through curved channels: Problem formulationDownload
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43Stability of flow through curved channels: Numerical calculationDownload
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44Viscous Fingering: Darcy’s lawDownload
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45Viscous Fingering: Stability analysisDownload
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46Shallow Cavity flowsPDF unavailable


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