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