Study on Model of Bathtub Water Temperature in Time and Space

DOI

10.2991/mecs-17.2017.104How to use a DOI?

Keywords

Model of water temperature finite difference method Gauss-Seidel iteration

Abstract

This paper is intended to study the model of bathtub water temperature in time and space. First of all, a differential function model is chosen as the basic model. Based on the differential function model, the new model considers factors of dissipating heat from water surface and the bathtub. Under the condition without human motions, this paper gets the model of tub water temperature in time. Then, the article solves the modified model including human motions using four-order Runge-Kutta Algorithm to make sure the accuracy of the differential function. Next, the paper obtains the complete model of tub water temperature in time. According to heat transfer theory and finite difference method, this paper develops a planar model of tub water temperature in space, and uses Gauss-Seidel iteration method to compute the solution of the model. Then, an isothermal figure is got. At last, this paper concludes that water temperature distributes almost evenly throughout the bathtub by utilizing model of bathtub water temperature in space.

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  - Bo Chen
PY  - 2016/06
DA  - 2016/06
TI  - Study on Model of Bathtub Water Temperature in Time and Space
BT  - Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)
PB  - Atlantis Press
SP  - 34
EP  - 37
SN  - 2352-5401
UR  - https://doi.org/10.2991/mecs-17.2017.104
DO  - 10.2991/mecs-17.2017.104
ID  - Chen2016/06
ER  -