﻿ 浴缸保持水温恒定的一种方法 A Method of Keeping Water Temperature Constant in Bath Tub

Modeling and Simulation
Vol.06 No.01(2017), Article ID:19833,6 pages
10.12677/MOS.2017.61006

A Method of Keeping Water Temperature Constant in Bath Tub

Tianqi Gao, Xiaobin Chai, Yunfei Bai, Haishan Han

College of Mathematics, Inner Mongolia University for Nationalities, Tongliao Inner Mongolia

Received: Feb. 3rd, 2017; accepted: Feb. 24th, 2017; published: Feb. 27th, 2017

ABSTRACT

It is difficult to maintain the constant temperature of the water by the two heating of the common bath tub. This study established a dynamic programming model to energy conservation as a precondition to solve the whole bath water or as close as possible to maintain the initial temperature. In this paper, the main research is the oval bathtub. The heat transfer equation is used to calculate the heat energy in the inner wall of the bathtub and the heat energy in the air. The volumes of people have different parts of the body contact with the bath tub all affect the heat of water. By the text data can be calculated know that model shape and volume dependence on relatively large bathtub, while the person’s body temperature, shape, motion dependence is relatively small. When the water in the bathtub send out quantity of heat is 10749.3 J/s, the quantity of heat of injected water is 7551.18 J/s, the water temperature is close to the initial temperature of bath crock is 37˚C.

Keywords:Energy Conservation, Dynamic Programming, Excel

Copyright © 2017 by authors and Hans Publishers Inc.

1. 引言

2. 模型的建立

(1)

Figure 1. Oval bathtub

2.1. 水通过浴缸壁散热

(2)

(3)

(4)

——流体温度，

——表面传热系数。

2.2. 人体吸收水的能量

(5)

2.3. 水表面散发的能量

2.4. 溢出口的损失能量和水龙头加水增加的能量

(6)

(7)

Table 1. Volume of man

Table 2. Total heat of water has been distributed

Table 3. G minutes to relax when cleaning to add water

Table 4. Relax the time to wash with water

Table 5. Heat the water in I seconds while cleaning

Table 6. Heat the water in M minutes at a time of intense cleaning

Table 7. T seconds of heated water for minor cleaning

Table 8. Heated water T seconds when intense cleaning

A Method of Keeping Water Temperature Constant in Bath Tub[J]. 建模与仿真, 2017, 06(01): 46-51. http://dx.doi.org/10.12677/MOS.2017.61006

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