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Modeling Scenario

7-020-ThermometerInVaryingTempStream-ModelingScenario

Author(s): Norman Loney

Keywords: temperature steady state thermometer heat exchange transfer function phase lag Invers Laplace Transform

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Abstract

Resource Image We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

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Description

Consider a thermometer which is located in a flowing stream of water for which the temperature x varies with time. We would like to calculate the response or the time variation of the thermometer reading, y, for a given change in $x$, the temperature of the fluid in the stream in which the thermometer sits

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Authors

Author(s): Norman Loney

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