Outline of Lecture

1. Basic Concepts and Applications
   1. Microfluidics fundamentals
   2. Microfludic  devices and applications
   3. The continuum hypothesis
   4. Physical challenges of micro-scale transport
   5. Numerical modeling methods
2. Micro-Scale Gas Transport Modeling
   1. Flow regimes
   2. Gas flow through micro-channel
   3. Compressible micro-flows: first order models
   4. Compressible micro-flows: high order models
   5. Numerical Simulation for gas micro-flows
   6. Micro-macro interface
   7. Coupled domain simulations
   8. Modeling roughness in micro-geometries
3. Liquid Flows
   1. Introduction
   2. Electroosmotic flow
   3. Electro-kinetic effects
   4. Analysis of Poisson-Boltzmann Equation
   5. New concepts in electroosmotic flow
   6. Time periodic electroosmotic flows
   7. Electroosmotic flow in a cross-channel and in a grooved channel
   8. Flow Control in T-junction with electroosmotic forcing
4. A Fast Algorithm for Particulate Micro-Flows in Complex Geometries
   1. Force-Coupling method
   2. Particle phase motion
   3. Comparison between SEM and FCM 
   4. FCM versus Spectral DNS
   5. Complex Geometries: Poiseuille Flow
5. Moving Domains and Applications
   1. Full-systems MEMS modeling
   2. Flow Solver-NEKTAR
   3. Chaotic Advection
   4. Stochastic Modeling

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5