Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016)

# Research on the thermal insulation of water in bathtub

Authors
Hui Xu, Songjing Wang
Corresponding Author
Hui Xu
Available Online April 2016.
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.

Open Access

Volume Title
Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016)
Series
Advances in Engineering Research
Publication Date
April 2016
ISBN
10.2991/ameii-16.2016.198
ISSN
2352-5401
DOI
10.2991/ameii-16.2016.198How to use a DOI?
Open Access

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  -