Buckingham Pi

# Buckingham Pi - Chemical Engineering 150A Dimensional...

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Chemical Engineering 150A Dimensional Analysis and the Buckingham Pi Theorem In lecture, we discussed dimensional analysis and the Buckingham Pi Theorem. We described a procedure for forming the dimensionless groups which is summarized below: 1. List and count the Z variables involved in the problem. This is an important step and requires some understanding of the physical phenomena in order to be sure all the pertinent variables are included. 2. List the dimensions (i.e. M for mass, L for length, T for time, and θ for temperature) of all the variables and determine the number of dimensions, Y , in the list. 3. Pick Y of the variables listed in step 1. Choose the Y variables such that they contain all the dimensions between them, but do not form a dimensionless group by themselves. Pick variables with some generality, as they are likely to appear in many of the dimensionless groups. 4. Take one additional variable from the list in step 1 that was not selected in step 3. Write

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## Buckingham Pi - Chemical Engineering 150A Dimensional...

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