Modules / Lectures
Module NameDownload

Sl.No Chapter Name English
1Introduction and overview of the course: Multiphase flowsPDF unavailable
2Stratified flow in a micro channel: Velocity profilesPDF unavailable
3Stratified flow in a micro channel: Effects of physical parametersPDF unavailable
4Flow regimes in microchannels: Modeling and Experiments PDF unavailable
5Scaling Analysis: IntroductionPDF unavailable
6Scaling Analysis: Worked ExamplesPDF unavailable
7Interfacial tension and its role in Multiphase flowsPDF unavailable
8Eulerian and Lagrangian approachesPDF unavailable
9Reynolds Transport Theorem and the Equation of ContinuityPDF unavailable
10Derivation of Navier-Stokes equation PDF unavailable
11Vector operations in general orthogonal coordinates: Grad., Div., LapacianPDF unavailable
12Normal and shear stresses on arbitrary surfaces: Force balance PDF unavailable
13Normal and shear stresses on arbitrary surfaces: Stress Tensor formulationPDF unavailable
14Stresses on deforming surfaces: Introduction to Perturbation Theory PDF unavailable
15Pulsatile flow: Analytical solutionPDF unavailable
16Pulsatile flow: Analytical solution and perturbation solution for Rw<<1 PDF unavailable
17Pulsatile flow: Perturbation solution for Rw >> 1PDF unavailable
18Viscous heating: Apparent viscosity in a viscometerPDF unavailable
19Domain perturbation methods: Flow between wavy walls PDF unavailable
20Flow between wavy walls: Velocity profilePDF unavailable
21Introduction to stability of dynamical systems: ODEsPDF unavailable
22Stability of distributed systems (PDEs): reaction diffusion example PDF unavailable
23Stability of a reaction-diffusion system contdPDF unavailable
24Rayleigh-Benard convection: Physics and governing equations PDF unavailable
25Rayleigh-Benard convection: Linear stability analysis part 1APDF unavailable
26Rayleigh-Benard convection: Linear stability analysis part 1BPDF unavailable
27Rayleigh-Benard convection: Linear stability analysis part 2PDF unavailable
28Rayleigh-Benard convection: Linear stability analysis part 3PDF unavailable
29Rayleigh Benard convection: Discussion of resultsPDF unavailable
30Rayleigh-Taylor ‘heavy over light’ instability PDF unavailable
31Rayleigh-Taylor instability contdPDF unavailable
32Capillary jet instability: Problem formulation PDF unavailable
33Capillary jet instability: Linear stability analysisPDF unavailable
34Capillary jet instability: Rayleigh’s Work PrinciplePDF unavailable
35Tutorial Session: Solution of Assignment 4 on linear stabilityPDF unavailable
36Turing patterns: Instability in reaction-diffusion systemsPDF unavailable
37Turing patterns: ResultsPDF unavailable
38Marangoni convection: Generalised tangential and normal stress boundary conditionsPDF unavailable
39Marangoni convection: Stability analysisPDF unavailable
40Flow in a circular curved channel: Governing equations and scalingPDF unavailable
41Flow in a circular curved channel: Solution by regular perturbationPDF unavailable
42Stability of flow through curved channels: Problem formulationPDF unavailable
43Stability of flow through curved channels: Numerical calculationPDF unavailable
44Viscous Fingering: Darcy’s lawPDF unavailable
45Viscous Fingering: Stability analysisPDF unavailable
46Shallow Cavity flowsPDF unavailable

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