浴缸保持水温恒定的一种方法

A Method of Keeping Water Temperature Constant in Bath Tub

摘要: 普通浴缸在不通过二次加热的情况下很难保持水温的恒定，本文通过建立能量守恒的动态模型，使得整个浴缸的水温在此模型下尽可能的保持水最初的温度。本文主要对椭圆形浴缸进行讨论，利用热传导方程计算浴缸内壁的产生的热能和水在空气中散发出的热能。根据本文建立的模型，水的散热程度主要与浴缸的形状大小以及人的体积和空气流速有关。当浴缸中水散发热量为10749.3 J/s，注入水的热量为7551.18 J/s，浴缸的水温会接近初始温度37℃。

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.