浴缸保持水温恒定的一种方法.pdfVIP

Modeling and Simulation 建模与仿真, 2017, 6(1), 46-51 Published Online February 2017 in Hans. /journal/mos /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 rd th th Received: Feb. 3 , 2017; accepted: Feb. 24 , 2017; published: Feb. 27 , 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 pre- condition 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 浴缸保持水温恒定的一种方法 高添奇，柴晓斌，白云飞，韩海山 内蒙古民族大学数学学院，内蒙古 通辽 收稿日期：2017年2月3 日；录用日期：2017年2月24 日；发布日期：2017年2月27 日 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 文章引用: