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Course11210691152 lectures

Microhydrodynamics

Prof. Anubhab Roy · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Introduction to Microhydrodynamics Video
  2. Introduction to Tensors - Part 1 Video
  3. Introduction to Tensors - Part 2 Video
  4. Stokes Flow Video

Week 2

  1. Stokes Flow (continued) Video
  2. Solution of Stokes flow equations Video
  3. Solution of Stokes flow equations-2 Video
  4. Integral theorems in Stokes flow-1(Minimum Energy Dissipation theorem) Video
  5. Integral theorems in Stokes flow-2 Lorentz reciprocal theorem Video

Week 3

  1. Velocity field due to a rotating sphere in Stokes flow (part 1) Video
  2. Velocity field due to a rotating sphere in Stokes flow(part 2) Video
  3. Solution of a translating sphere in Stokes flow (part 1) Video
  4. Solution of a translating sphere in Stokes flow (part 2) Video
  5. Solution of a translating sphere in Stokes flow (part 3) Video

Week 4

  1. Faxen's laws - I Video
  2. Faxen's laws - II Video
  3. Stokes flow of a single particle in a simple shear flow - I Video
  4. Stokes flow of a single particle in a simple shear flow - II Video
  5. Stokes flow of a single particle in a simple shear flow - III Video

Week 5

  1. Einstein's effective viscosity for a dilute suspension - I Video
  2. Einstein's effective viscosity for a dilute suspension - II Video
  3. Boundary integral method - I Video
  4. Boundary integral method - II Video
  5. Boundary integral method -III Video
  6. Stokes paradox Video

Week 6

  1. Slender body theory - I Video
  2. Slender body theory - II Video
  3. Slender body theory - III Video
  4. Slender body theory - IV Video
  5. Slender body theory - V Video
  6. Slender body theory - VI Video

Week 7

  1. Resistance & Mobility Matrices - I Video
  2. Resistance & Mobility Matrices - II Video
  3. Effect of inertia in low Reynolds number flows - I Video
  4. Effect of inertia in low Reynolds number flows - II Video

Week 8

  1. Unsteady Stokes equation - I Video
  2. Unsteady Stokes equation - II Video
  3. Maxey-Riley-Gattignol equation - I Video
  4. Maxey-Riley-Gattignol equation - II Video

Week 9

  1. Effect of finite Stokes number Video
  2. Qulatative effects of fluid inertia Video
  3. Inertial migration of spheres in a channel flow Video

Week 10

  1. Langevin equation - I Video
  2. Langevin equation - II Video
  3. Langevin equation - III Video
  4. Langevin equation - IV Video

Week 11

  1. Hydrodynamic interactions - I: Method of reflections Video
  2. Hydrodynamic interactions - II: Method of reflections Video
  3. Hydrodynamic interactions - III: Lubrication theory Video
  4. Hydrodynamic interactions - IV: Lubrication theory Video

Week 12

  1. Modelling dense suspensions - I Video
  2. Modelling dense suspensions - II Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Mechanical Engineering
Teacher
Prof. Anubhab Roy
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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