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Lecture%2016_Dimensional%20Analysis

# Lecture%2016_Dimensional%20Analysis - ME309 Fall 2009...

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ME309 Fall 2009 Lecture 16: Dimensional Analysis – Buckingham Pi Theorem Andrew Lee Maurice J. Zucrow Laboratories Purdue University West Lafayette, Indiana

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10/5/2009 Andrew Lee 2 Dimensional Analysis So far, we have covered integral and differential analyses, in which we tried to obtain exact (analytical) solutions to rather simple flow problems In many situations, exact solutions are impossible to obtain because 1) the flow is too complex or 2) we do not have the solution techniques In case of the flow complexity, we must rely on empirical or semi-empirical relations
10/5/2009 Andrew Lee 3 Dimensional Analysis Obtaining empirical relations may require many experiments and interpretation of loads of data head2right Drag around a smooth sphere Combining many variables to smaller number of variables are beneficial in reducing number of experiments and making it easier for data interpretation Dimensional analysis is a method for reducing the number and complexity of experimental variables

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