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Modeling Scenario

1-079-HomeHeating-ModelingScenario

Author(s): Kurt Bryan

Keywords: Optimal Control Theory temperature heat furnace Newton's Law of Cooling home heating specific heat

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Abstract

Resource Image This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?

Citation

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Article Context

Description

Both scenarios are analyzed in a series of exercises. The mathematics used is simply the Newton's Law of Cooling differential equation, with possible modification for an active heat source, and basic integration.

A computer algebra system can be helpful, but is not essential.

This project can be done in class, or perhaps better yet, started in class as part of a homework assignment.

Article Files

Authors

Author(s): Kurt Bryan

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