The following Maple code was written to be an accompaniment to the derivation of
the dimensionless parameter, Theta, with which Bird, Stewart and Lightfoot deal in
section 9.4 of their text Transport Phenomena. The following figures show
the system graphically, whereas the Maple code analyses it mathematically.
Example Problem
The following is an example created to illustrate the concept derived with the
earlier Maple code. This particular example is based on the example in Ed Feng's
1998 Bonus Project. Here, the problem is modified slightly and the results are shown
using Maple Code.
Problem Prompt
Given a system of two cylinders, the radii of which are 1.00 ft and 1.01 ft.
The cylinders are both held at a temperature of 158 degrees Fahrenheit. The outer
cylinder is moving with an angular velocity of 7908 rotations per minute.
The lubricating fluid between the cylinders is to be water in this case, the
properties of which are given in Transport Phenomena in Chapters 1 and 8.
For the sake of this example, it is to be assumed that viscosity and thermal
conductivity are constant.
