The Temperature Distribution of Bathtub

DOI

10.2991/icmmct-17.2017.62How to use a DOI?

Keywords

the first law of thermo dynamics Fouriers Law ,Calorie formula

Abstract

we utilize the first law of thermo dynamics Fouriers Law and Calorie formula to derive the heat conduction equation and to discuss the temperature of the bathtub water in space and time. Firstly, we set time as a constant. In space, we projected the temperature distribution equation to the three planes : X-Y Plane Y-Z plane and X-Z plane. To solve the equations, the PDE (Partial Differential Equations) toolbox of MATLAB was used. Then we kept the temperature constant, the image of temperature distribution at different time was obtained. The variance of the temperature in the bathtub was defined to measure the temperature distribution.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - YuHe Tian
PY  - 2017/04
DA  - 2017/04
TI  - The Temperature Distribution of Bathtub
BT  - Proceedings of the 2017 5th International Conference on Machinery, Materials and Computing Technology (ICMMCT 2017)
PB  - Atlantis Press
SP  - 301
EP  - 304
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmmct-17.2017.62
DO  - 10.2991/icmmct-17.2017.62
ID  - Tian2017/04
ER  -