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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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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

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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