Research on the thermal insulation of water in bathtub
- DOI
- 10.2991/ameii-16.2016.198How to use a DOI?
- Keywords
- Stochastic Variable, Differential Equation, Statistical Optimization Model, Normal Distribution
- Abstract
In this paper, the bathtub water thermal insulation problem has been studied, it analysis the effect to heat dissipation caused by body movement, and determine the input hot water flow and the output water flow according to the law. Thereby keep the bath water temperature close to the initial one. Firstly, the state that the person keep still in the bathtub is considered. It is equivalent to introducing a boundary condition. With the finite element method, a three dimensional diagram of water temperature distribution under steady state is obtained. Then consider the situation of introducing body movement. The body movement obeys the random distribution, using a random variable to characterize the body movement intensity in the bathtub. Establishing a random differential equation model, using the finite difference method to solve the differential equation. Then a curve about the temperature of the water in a bathtub fluctuate over time is drew. According to the curve, using the statistical optimization model to solve hot water input flow that makes the temperature of the water in a bathtub be as nearly as possible to the initial temperature. Finally, the optimal values of input hot water flow in various initial water temperature is determined.
- 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/).
Cite this article
TY - CONF AU - Hui Xu AU - Songjing Wang PY - 2016/04 DA - 2016/04 TI - Research on the thermal insulation of water in bathtub BT - Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016) PB - Atlantis Press SP - 1041 EP - 1046 SN - 2352-5401 UR - https://doi.org/10.2991/ameii-16.2016.198 DO - 10.2991/ameii-16.2016.198 ID - Xu2016/04 ER -