Design of Heat Preservation Bathtub with Water Saving

Abstract

This paper studies the relationship between the quantity of consuming water and the time of bath. First, we construct a bi-objective optimization model to determine the optimal strategy that a person in the bathtub can keep the initial temperature. By analyzing the change of temperature of water through given parameter, we find that it is the saving water mode if the temperature of bathing water is 55 and the time of spending in bathing is less than 25 min. Meanwhile, influx rate of hot water should be controlled at 0.216 ${{{\text{m}}^{ 3} } \mathord{\left/ {\vphantom {{{\text{m}}^{ 3} } {\text{h}}}} \right. \kern-0pt} {\text{h}}}$ to guarantee that minimal amount of water is consumed. The authors in this paper also consider the sensitivity and fitness of the model depending upon the shape and volume of the tub.