The Analysis of a Model of Water Temperature in Space and Time

DOI

10.2991/wartia-16.2016.178How to use a DOI?

Keywords

Heat conduction differential, Fourier’s law, newton cooling law.

Abstract

In this paper, the change of water temperature in the bathtub is mainly studied. Through the simulation of the water temperature distribution in time and space and the construction of the thermal conduction model, we discuss the water injection scheme. According to the Fourier's law and Newton cooling law, we establish a one-dimensional heat conduction differential model with water temperature, bath depth and time as variables. Then the model is classified into two parts because of the heat source’s existence. By the evaporation model we can conclude the relationship between the water temperature and time, then solve the partial differential equation in the usage of implicit format of finite difference method. Equation of the water speed and temperature and the optimal scheme can be determined through the Improved Genetic Algorithm on the base of law of conservation of energy. The judging equation can be obtained after the analysis of the various influence factors of the strategy plan. Finally, we draw a conclusion that: the shape and volume of bathtub infect the strategy most.

Copyright

© 2016, 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  - Wenyan Dong
PY  - 2016/05
DA  - 2016/05
TI  - The Analysis of a Model of Water Temperature in Space and Time
BT  - Proceedings of the 2016 2nd Workshop on Advanced Research and Technology in Industry Applications
PB  - Atlantis Press
SP  - 844
EP  - 847
SN  - 2352-5401
UR  - https://doi.org/10.2991/wartia-16.2016.178
DO  - 10.2991/wartia-16.2016.178
ID  - Dong2016/05
ER  -