基于热传导方程的浴缸水温恒定模型

Bathtub Water Temperature Constant Model of Based on Heat Conduction Equation

研究了在泡澡时如何使浴缸水温恒定的问题,在热传导理论的基础上,根据浴缸中水的热传递规律,建立关于浴缸水温变化的优化模型.首先,分析了浴缸水温变化的影响因素;其次,以常见的亚克力材质长方体浴缸为例,基于热传导方程,建立模型描述浴缸中水的热传导过程.泡澡的人可以根据自身的实际情况改变相应的变量,得出适合自己洗澡的水流速度,使整个浴缸保持水温恒定并且节约水资源.

How to maintain a constant temperature of water in the bathtub was studied based on heat transfer theory,according to the bathtub water heat transfer rule,establishing the optimization model of the water temperature changes. Firstly,the influencing factors of the bath water temperature variation were analyzed. Secondly,taking the regular acrylic material of a cuboid bathtub as an example,based on heat conduction equation,a model was established to describe the heat transfer process of water in the bathtub.Bathers can change the corresponding variables according to their own conditions,the water flow velocity suitable for their bath,so that the whole bathtub maintains a constant water temperature thus saving water resources.