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Modeling Scenario

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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?

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Researchers should cite this work as follows:

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

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.

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Authors

Author(s): Kurt Bryan

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