Thermo intro interpolation

# Thermo intro interpolation - A review of some basic skills...

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A review of some basic skills that you will need for Thermodynamics. .. II) Interpolation Engineers often must deal with large bodies of data in charts and tables. In thermodynamics we will be dealing extensively with tables of properties know as “steam tables.” Murphy’s law (one of the most important laws in engineering) dictates that the exact data you need will almost never be in the charts . .. hence you must know how to interpolate. For example let’s assume that Pressure is a function of Temperature for some gas . .. the only problem is we don’t know what the function is! All we know is the value of the pressure at certain temperatures which someone measured and recorded in the table below: Temp Press 0 0 1 0.0214 2 0.3424 3 1.7334 4 5.4784 5 13.375 6 27.7344 This works just fine if we only need to know the pressure at one of the points already measured (0, 1, 2 etc) . .. but what do we do if we need to know the pressure at some other temperature, say 2.78? The answer is we interpolate. The simplest form of interpolation is Linear Interpolation, and that is what we will use in this class. The basic idea is you come up with the equation for a LINE connecting the two KNOWN points on either side of your desired value and then you use a new (known, linear) function to estimate the value that you are interested in. Zooming in on the figure above we can see how this is accomplished . .. Unknown Function: Pressure = F(Temperature)

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## This note was uploaded on 04/07/2008 for the course ME 232 taught by Professor Monefort during the Spring '08 term at Western Michigan.

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Thermo intro interpolation - A review of some basic skills...

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