Optimal extraction of heat : an instructive problem

Vyasanakere, Jayanth (2022) Optimal extraction of heat : an instructive problem. Resonance: Journal of Science Education, 27 (2). pp. 273-282. ISSN 0973-712X

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In this article, we pose a challenge concerning an optimal algorithm for transferring heat from a hot liquid to a cold one. The solutions discussed here demonstrate the usefulness of choosing the right variables. We illustrate different possible approaches---algebra, calculus, and numerical simulation--each of which has its charm. Instructors can make good use of this to illustrate multiple methods of problem-solving in an undergraduate classroom.

Item Type: Article
Authors: Vyasanakere, Jayanth
Document Language:
Uncontrolled Keywords: Conservation of energy, Temperature scale, Numerical approach, Lagrange multipliers, Continuum limit
Subjects: Natural Sciences > Physics
Divisions: Azim Premji University > School of Arts and Sciences
Full Text Status: Public
URI: http://publications.azimpremjiuniversity.edu.in/id/eprint/3329
Publisher URL: https://www.ias.ac.in/article/fulltext/reso/027/02...

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