**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.*,

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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