Study on the Influence of Flow on Water Temperature

DOI

10.2991/ammee-17.2017.70How to use a DOI?

Keywords

Mathematical modeling; water temperature, heat exchange.

Abstract

Our goal is to establish a model that makes the optimal strategy to keep a stable temperature and consume minimum amount of water. In specific, we are required to determine the degree to which are mentioned in the problem affect our model. In addition, we also need to consider the situation where bubble bath additive is used in the tub. We need to solve the following tasks. We divide the problem into two-phases. In the first phase, we imply the equations of heat quantity, and we generate a mathematical model to obtain convex equation of minimum flow. In this part, we assume that there was no heat transfer process between the human body and the external environment. After some theoretic derivation, we obtain a nonlinear relation. In the second phase, we establish an optimization model to optimize the total number of water. To simplification we defined an angle between the human body and the bottom of bathtub to describe the action extent of bather. Eventually, we find out the optimal value of the size of the bathtub and the angle. Since the coefficient value of the exchanging heat between air and water approximately equal to 0, there is no heat exchange in this part. After calculation, we can come to a conclusion that addition of bubble bath agent will not affect our model's results.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiaohan Wang
PY  - 2017/06
DA  - 2017/06
TI  - Study on the Influence of Flow on Water Temperature
BT  - Proceedings of the Advances in Materials, Machinery, Electrical Engineering (AMMEE 2017)
PB  - Atlantis Press
SP  - 369
EP  - 371
SN  - 2352-5401
UR  - https://doi.org/10.2991/ammee-17.2017.70
DO  - 10.2991/ammee-17.2017.70
ID  - Wang2017/06
ER  -