Mathematica Notebooks for ChEg 355, Transport Phenomena

 

This one solves Creeping Flow (intertialess flow) past a stationary sphere. It uses the notation of and is based on S. Middleman, An Introduction to Fluid Dynamics.
Creeping Flow Past a Stationary Sphere (html)
Creeping Flow Past a Stationary Sphere (Notebook format)

This one shows the numerical solutions for boundary-layer flow past a flat plate and a wedge. It uses the notation of and is based on M. M. Denn, Process Fluid Mechanics.
Boundary-layer flow past a flat plate and wedge (html)
Boundary-layer flow past a flat plate and wedge (Notebook format)

This one shows how to use the potential and stream functions to solve the problem of inviscid flow past a sphere. It uses the notation of and is based on M. M. Denn, Process Fluid Mechanics.
Inviscid flow past a stationary sphere (html)
Inviscid flow past a stationary sphere (Notebook format)

A simple primer on why we use log-log plots and what they mean.
Primer on log-log and semilog plots. (Notebook)
Primer on log-log and semilog plots(html)

An exhaustive solution of the lubricated flow example ("core-annular flow") from Middleman 3.2.3, pp79-82). (Stanley Middleman, Introduction to fluid dynamics, Wiley, 1998) It demonstrates a number of Mathematica features and several important basic ideas from this course.
Lubricated flow of a viscous liquid in a pipe (Mathematica 4 notebook)
Lubricated flow of a viscous liquid in a pipe (HTML)

This one shows how to use the chain rule to nondimensionalize differential equations. It also makes a point that the resulting dimensionless terms are of order 1.
Making a differential equation dimensionless (Notebook format)
Making a differential equation dimensionless (html)

This shows how to use a similarity variable to reduce the boundary layer equations for energy and momentum, for a natural convection flow caused by a heated surface, to a set of ODE's. A shooting method is employed to solve them. It uses the notation of and is based on F. P. Incropera and D. P. DeWitt, Fundamentals of Heat and Mass Transfer.
Solution of the natural convection boundary-layer flow near a heated flat plate (Notebook Format)
Solution of the natural convection boundary-layer flow near a heated flat plate (html format)

This notebook looks at chemical reactions in a stirred tank reactor for single phase, liquid-solid and gas-liquid solid systems. For gas-liquid packed bed (a. k. a. "trickle - bed") reactors, flow disturbances cause fluctuations in the mass transfer rate. This notebook shows how these fluctuations can influence the reaction selectivity. The fluctuation (pulsing) frequency is seen to be a key variable. It uses the notation of and is based on R., M. J. McCready and A. Varma "Influence of mass transfer coefficient fluctuation frequency on performance of three-phase packed bed reactors, Chemical Engineering Science.,50,pp3333-3344 (1995).
Importance of mass transfer fluctuations on reaction outcome in multiphase reactors (Notebook Format)
Importance of mass transfer fluctuations on reaction outcome in multiphase reactors (html format -- it works but looses a lot.)

 

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