The Least Amount Of Water Used By Nonlinear Programming Model

DOI

10.2991/wartia-16.2016.126How to use a DOI?

Keywords

Temperature Of Water, Law Of Energy Conservation,

Abstract

Firstly, In order to make the temperature of water in tub fixed, thus, the quantity of heat of water from faucet is equal to the heat loss of water in tub . Secondly, according to thermodynamic energy formula, we get that the quantity of heat of water from faucet has relation with its temperature and amount. In this paper, we assume that the temperature of water in tap is certain, so, the quantity of heat per unit time is proportional to the velocity of flow. Thirdly, according to the law of conservation of energy, we get the formula about flow velocity and the size of bathtub. Finally, in order to minimize the amount of water which is equal to velocity of flow We take the minimum of flow velocity as the goal and the size of tub as constraint condition to establish nonlinear programming model. By solving it, we get the lest amount of water used and the best size of tub. In sensitivity, we analyze the influence of parameters on velocity of flow, the results supports our model is robust.

Copyright

© 2016, 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  - Weiqing Wang
PY  - 2016/05
DA  - 2016/05
TI  - The Least Amount Of Water Used By Nonlinear Programming Model
BT  - Proceedings of the 2016 2nd Workshop on Advanced Research and Technology in Industry Applications
PB  - Atlantis Press
SP  - 608
EP  - 611
SN  - 2352-5401
UR  - https://doi.org/10.2991/wartia-16.2016.126
DO  - 10.2991/wartia-16.2016.126
ID  - Wang2016/05
ER  -