NOC:Modeling Transport Phenomena of Microparticles

Lecture 1 - Preliminary concepts: Fluid kinematics, stress, strain

Lecture 2 - Cauchy’s equation of motion and Navier-Stokes equations

Lecture 3 - Reduced forms of Navier-Stokes equations and Boundary conditions

Lecture 4 - Exact solutions of Navier-Stokes equations in particular cases

Lecture 5 - Dimensional Analysis – Non-dimensionalization of Navier-Stokes’s equations

Lecture 6 - Stream function formulation of Navier-Stokes equations

Lecture 7 - Stokes flow past a cylinder

Lecture 8 - Stokes flow past a sphere

Lecture 9 - Elementary Lubrication Theory

Lecture 10 - Hydrodynamics of Squeeze flow

Lecture 11 - Solution of arbitrary Stokes flows

Lecture 12 - Mechanics of Swimming Microorganisms

Lecture 13 - Viscous flow past a spherical drop

Lecture 14 - Migration of a viscous drop under Marangoni effects

Lecture 15 - Singularities of Stokes flows

Lecture 16 - Introduction to porous media

Lecture 17 - Flow through porous media – elementary geometries

Lecture 18 - Flow through composite porous channels

Lecture 19 - Modeling transport of particles inside capillaries

Lecture 20 - Modeling transport of microparticles – some applications

Lecture 21 - Introduction to Elctrokietics

Lecture 22 - Basics on Electrostatics

Lecture 23 - Transport Equations for Electrokinetics, Part-I

Lecture 24 - Transport Equations for Electrokinetics, Part-II

Lecture 25 - Electric Double Layer

Lecture 26 - Electroosmotic flow (EOF) of ionized fluid

Lecture 27 - EOF in micro-channel

Lecture 28 - Non-linear EOF, Overlapping Debye Layer

Lecture 29 - Two-dimensional EOF

Lecture 30 - EOF near heterogeneous surface potential

Lecture 31 - Electroosmosis in hydrophobic surface

Lecture 32 - Numerical Methods for Boundary Value Problems (BVP)

Lecture 33 - Numerical Methods for nonlinear BVP

Lecture 34 - Numerical Methods for coupled set of BVP

Lecture 35 - Numerical Methods for PDEs

Lecture 36 - Numerical Methods for transport equations, Part-I

Lecture 37 - Numerical Methods for transport equations, Part-II

Lecture 38 - Electrophoresis of charged colloids, Part-I

Lecture 39 - Electrophoresis of charged colloids, Part-II

Lecture 40 - Gel Electrophoresis