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Analysis on Spreadsheets

Dimensional analysis involves four steps. First, one derives a set of dimensionless groups. Next, one performs experiments on a convenient system. Third, one analyzes the data. Finally, one applies dynamic similarity to predict the behavior of the system of interest. [Pg.296]

An engineer will often pose two fundamental questions when performing the third step, the analysis of the data. First, an engineer may want to know the certainty that the data exhibit a specific relationship. For example, experiments on walking will yield a collection of Froude numbers and reduced strides. What is the certainty that reduced stride versus Froude number data lie on a straight line on a log-log plot That is, what is the certainty that s/1 (X Fr If the certainty is low, perhaps a different functional form is needed. [Pg.296]

An engineer s second question is similar, but there is a subtle, important difference. Given a specific functional relationship, what is the certainty of the fitted parameters in the equation For example, given that data for walking are represented by the functional form s/1 oc Fr, what is the certainty that m is a specific value Are the confidence limits on m 0.01, or 0.1, or 1, for example  [Pg.296]

This tutorial illustrates the proficiency of spreadsheets for reducing experimental data, plotting the reduced data, and analyzing trends. Like the tutorial on spreadsheets for mass balances, this tutorial assumes a basic knowledge of spreadsheets, such as how to use a mouse to select a cell and how to copy and paste. However, the tutorial on spreadsheets for mass balances is not a prerequisite. [Pg.296]

Spreadsheet Example I Experimental data for the terminal velocities of spheres in water, vegetable oil, and glycerin are presented in three tables below and on the following page. The data are a subset of the experimental data measured by Cornell first-year engineers to obtain a general correlation between the Reynolds number. [Pg.297]


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