![](https://csdnimg.cn/release/download_crawler_static/10244692/bg5.jpg)
Team # 42221 Page 3 of
3.2 Symbols
the temperature of the object in position
the heat that add to the bathtub per unit time per unit volume of heat
source
the region surrounded by the closed surface whose boundaries are the
surface of the water and the bathtub
the region of the heat source
the volume of the water added in per unit time
the temperature of the outlet of the water
the temperature of the inlet of the water
the closed surface whose boundaries are the surface of the water and
the bathtub
the surface that the water contact with air, the water contact with the
bathtub and the water contact with the person
the volume of the water in the bathtub
the initial water temperature that is suitable for people
4 General Assumptions
The initial temperature of the water of each point in the bathtub is the same.
The room is big enough thus the temperature of the room is constant and don’t change
over time and space.
The wall of the bathtub is insulated, thus the heat transfer between it and water is
ignored; because most of the bathtubs’ material is ceramic, therefore, the heat
preservation is better.
Viewing the hot water injection point at the water surface as a heat source, because the
water added in is trickle and can’t influence the water in the bathtub.
Regardless of the heat convection, only considering thermal conduction when hot water
is added to the bathtub. Because the water we add in is a trickle, the flow of it can be
ignored.
本内容由645617861l同学与工作人员共同整理,恭喜同学成功完成数学中国第一期威客项目
数学中国:www.madio.net,最专业的数学建模平台
备战美赛,美赛资料下载:http://www.madio.net/forum-108-1.html
美赛讨论加入群:2017美赛官方群287336869