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Course11110509940 lectures

Modeling Transport Phenomena of Microparticles

Prof. S Bhattacharyya and G. P. Raja Sekhar · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1: Preliminary concepts: Fluid kinematics, stress, strain Video
  2. Lecture 2: Cauchy’s equation of motion and Navier-Stokes equations Video
  3. Lecture 3: Reduced forms of Navier-Stokes equations and Boundary conditions Video
  4. Lecture 4: Exact solutions of Navier-Stokes equations in particular cases Video
  5. Lecture 5: Dimensional Analysis – Non-dimensionalization of Navier-Stokes’s equations Video

Week 2

  1. Lecture 6: Stream function formulation of Navier-Stokes equations Video
  2. Lecture 7: Stokes flow past a cylinder Video
  3. Lecture 8: Stokes flow past a sphere Video
  4. Lecture 9: Elementary Lubrication Theory Video
  5. Lecture 10: Hydrodynamics of Squeeze flow Video

Week 3

  1. Lecture 11: Solution of arbitrary Stokes flows Video
  2. Lecture 12: Mechanics of Swimming Microorganisms Video
  3. Lecture 14: Viscous flow past a spherical drop Video
  4. Lecture 14: Migration of a viscous drop under Marangoni effects Video
  5. Lecture 15: Singularities of Stokes flows Video

Week 4

  1. Lecture 16: Introduction to porous media Video
  2. Lecture 17: Flow through porous media – elementary geometries Video
  3. Lecture 18: Flow through composite porous channels Video
  4. Lecture 19: Modeling transport of particles inside capillaries Video
  5. Lecture 20: Modeling transport of microparticles – some applications Video

Week 5

  1. Lecture 21:Introduction to Elctrokietics Video
  2. Lecture 22 : Basics on Electrostatics Video
  3. Lecture 23 : Transport Equations for Electrokinetics, Part-I Video
  4. Lecture 24: Transport Equations for Electrokinetics, Part-II Video
  5. Lecture 25 : Electric Double Layer Video

Week 6

  1. Lecture 26 : Electroosmotic flow (EOF) of ionized fluid Video
  2. Lecture 27 : EOF in micro-channel Video
  3. Lecture 28 : Non-linear EOF, Overlapping Debye Layer Video
  4. Lecture 29 : Two-dimensional EOF Video
  5. Lecture 30 : EOF near heterogeneous surface potential Video

Week 7

  1. Lecture 31: Electroosmosis in hydrophobic surface Video
  2. Lecture 32: Numerical Methods for Boundary Value Problems (BVP) Video
  3. Lecture 33: Numerical Methods for nonlinear BVP Video
  4. Lecture 34 : Numerical Methods for coupled set of BVP Video
  5. Lecture 35: Numerical Methods for PDEs Video

Week 8

  1. Lecture 36 : Numerical Methods for transport equations, Part-I Video
  2. Lecture 37 : Numerical Methods for transport equations, Part-II Video
  3. Lecture 38: Electrophoresis of charged colloids, Part-I Video
  4. Lecture 39 : Electrophoresis of charged colloids, Part-II Video
  5. Lecture 40 : Gel Electrophoresis Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Taught by
Prof. S Bhattacharyya, G. P. Raja Sekhar
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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