The Model of Water Temperature Change in the Bathtub

DOI

10.2991/fmsmt-17.2017.215How to use a DOI?

Keywords

water temperature change, thermology, endothermic process, exothermic process, Runge-Kutta method

Abstract

This paper describes model testing of bathtub with the purpose of remaining the water temperature in the bathtub constant and reducing water waste. I establish a model and draw a conclusion. The model describes changes in the temperature of the bathtub water. The model has two parts: the one is endothermic process that a constant trickle of hot water reheats the bathing water and the other one is exothermic process. The exothermic process is divided into three parts: on the water surface, on the bathtub wall and between bathtub bottom and ground. Finally, I get a formula about the temperature of the water according to the theory of thermology. I find that it is effective for bubble bath additive to help to keep the temperature constant in the extended model I carry out numerical calculation by using Runge-Kutta method and compare analytic and numerical results with reality, using default parameters; I validate that my method is correct and robust.

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  - Siyu Zhu
PY  - 2017/04
DA  - 2017/04
TI  - The Model of Water Temperature Change in the Bathtub
BT  - Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017)
PB  - Atlantis Press
SP  - 1094
EP  - 1098
SN  - 2352-5401
UR  - https://doi.org/10.2991/fmsmt-17.2017.215
DO  - 10.2991/fmsmt-17.2017.215
ID  - Zhu2017/04
ER  -