General Information

• Syllabus

Lecture Notes for Special Topics in Biotechnology

• Brownian Motion

• Centrifugation

• Electrophoresis

• Chromatography

• Spray Drying and Lyophilization 

• Membrane Processes

Selected Course Handouts

• Properties of Bessel Functions

• Properties of the Modified Bessel Functions I and K

• Properties of Gamma and Related Functions

• Properties of Hyperbolic Functions

COMSOL Multiphysics Simulation Software

• COMSOL Multiphysics Company Website.  This company produces finite element modeling software for problems involving nearly any kind of chemical and physical process including most types of transport phenomena.

• COMSOL Multiphysics Tutorials at Washington State University.  These three elementary tutorials provide a very good overview of how to use COMSOL Multiphysics. They are from the Transport Phenomena course website of Su Ha at Washington State University.

Fluid Mechanics Resources  

• Lecture Notes for Fluid Mechanics.  These excellent lecture notes are from a graduate level course in fluid mechanics taught by Jacques Lewalle at Syracuse University. These notes also make frequent references to the National Committee for Fluid Mechanics Films described in the next link. 

• National Committee for Fluid Mechanics Films.  This series of 39 educational fluid mechanics films with accompanying film notes was produced by Ascher Shapiro at MIT in 1961. Despite their age, they definitely rate a "two thumbs up" and are worth viewing.

• Applied Classical Physics.  An on-line physics textbook written by Roger Blandorf and Kip Thorne at Caltech.  Chapters 12-18 cover fluid mechanics.

• Applied Aerodynamics: A Digital Textbook.  An on-line textbook from the Desktop Aerodynamics website that has an especially thorough description of wing theory. 

• Fluid Mechanics Course at the University of Leeds.  A website with lots of information for the fluid mechanics course taught by Andrew Sleigh and Cath Noakes in the School of Civil Engineering at the University of Leeds.

• Computational Fluid Dynamics Course at the University of Utah. An on-line CFD course by Philip J. Smith. 

Heat and Mass Transfer Resouces

• A Heat Transfer Textbook, 3rd ed.  This excellent textbook written by John H. Lienhard IV at the University of Houston and John H. Lienhard V at MIT can be downloaded for free and covers both heat and mass transfer.    

• Diffusion with Volume Change by R. F. Sekerka.  A thorough discussion of binary diffusion by Robert F. Sekerka at Carnegie Mellon University.    

Mathematics Tutorials

• Chain Rule for Partial Derivatives.   A brief tutorial from Harvey Mudd College on this important concept.

• Elementary First Order Ordinary Differential Equations.  Another basic tutorial from Harvey Mudd College on first order ODEs.

• First-Order Ordinary Differential Equations in Applied Mathematics.  This tutorial, as well as the following three tutorials, come from Annette Bunge's applied mathematics course at Colorado School of Mines.

• Second-Order Ordinary Differential Equations.

• Separation of Variables Method for Partial Differential Equations.

• Combination of Variables Method for Partial Differential Equations.

Additional Links of Interest for ENCH 630 Students  

Bernoulli Equation

• Discussion of the Bernoulli equation by James Calvert.  See also other sections of James Calvert's website. 

Brownian Motion:

• Einstein and Brownian Motion.  An excellent power point presentation on Brownian motion by Charles C. H. Jui at the University of Utah.

Centrifugation:

• Centrifugation Tutorial from San Deigo State University

Chromatography

• Basic Liquid Chromatography.  On-line textbook by Yuri Kazakevich at Seton Hall University

• Chromatography on-line textbook by R.P.W. Scott 

• More Chromatography Links

Coanda Effect

• The Coanda effect.  This website by Jean-Louis Naudin contains several interesting videos of the mysterious Coanda effect.

Derive Mathematical Software

• Derive 6.    Derive is similar to Mathematica or Maple, but it is much easier to use (and it's much cheaper!). This site has a 30-day trial version available. If you decide you like using Derive, then contact Professor Frey for information on how to obtain version 6 as low-cost shareware.

• Derive Instructional Videos.    These videos were created by Terence Etchels at John Moores University.

• Programming Using Derive.   A tutorial written by Terence Etchels and David Leigh at John Moores University.

• International Derive User Group.   A user group of Derive enthusiasts. Join this group and you too can become a fellow Derivian.

Electrophoresis:

• Electrophoresis Tutorial from San Diego State University

Elmer Finite Modeling Software

• Elmer Software Website.  For those who are on a budget and can't affort COMSOL Multiphysics, Elmer provides a reasonable alternative for performing finite element modeling. Elmer is open source software that is available for free.

Lyophilization:

• Lyophilization Tutorial: Freeze Drying -- A Downstream Process

• Cuddon Engineering -- Freeze Drying Equipment

Mathematics On-line Books

• Numerical Recipes.   An on-line book that is an excellent advanced reference for numerical methods.

• Handbook of Mathematical Functions.   The classic reference book by Abramowitz and Stegun in an on-line format.

Mathematics Websites

• EqWorld: The World of Mathematical Equations.  A thorough collection of solutions to mathematical equations, including most types of differential equations. 

• Wolfram MathWorld.  The (self-proclaimed) most extensive mathematics resource on the web. 

• SOS Mathematics: Basic Calculus.  

• SOS Mathematics: Matrix Algebra.   Learn the basics of matrix algebra.

• SOS Mathematics: Differential Equations.   Good review of methods for solving ODEs.