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Course Coordinated by
IIT Kharagpur
NPTEL
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Mathematics
>> NOC:Modeling Transport Phenomena of Microparticles (Video) >>
Lecture 1: Preliminary concepts: Fluid kinematics, stress, strain
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Week 1
Lecture 1: Preliminary concepts: Fluid kinematics, stress, strain
Lecture 2: Cauchy’s equation of motion and NavierStokes equations
Lecture 3: Reduced forms of NavierStokes equations and Boundary conditions
Lecture 4: Exact solutions of NavierStokes equations in particular cases
Lecture 5: Dimensional Analysis – Nondimensionalization of NavierStokes’s equations
Week 2
Lecture 6: Stream function formulation of NavierStokes 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
Week 3
Lecture 11: Solution of arbitrary Stokes flows
Lecture 12: Mechanics of Swimming Microorganisms
Lecture 14: Viscous flow past a spherical drop
Lecture 14: Migration of a viscous drop under Marangoni effects
Lecture 15: Singularities of Stokes flows
Week 4
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
Week 5
Lecture 21:Introduction to Elctrokietics
Lecture 22 : Basics on Electrostatics
Lecture 23 : Transport Equations for Electrokinetics, PartI
Lecture 24: Transport Equations for Electrokinetics, PartII
Lecture 25 : Electric Double Layer
Week 6
Lecture 26 : Electroosmotic flow (EOF) of ionized fluid
Lecture 27 : EOF in microchannel
Lecture 28 : Nonlinear EOF, Overlapping Debye Layer
Lecture 29 : Twodimensional EOF
Lecture 30 : EOF near heterogeneous surface potential
Week 7
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
Week 8
Lecture 36 : Numerical Methods for transport equations, PartI
Lecture 37 : Numerical Methods for transport equations, PartII
Lecture 38: Electrophoresis of charged colloids, PartI
Lecture 39 : Electrophoresis of charged colloids, PartII
Lecture 40 : Gel Electrophoresis
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