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Academic Journal of Mathematical Sciences, 2023, 4(4); doi: 10.25236/AJMS.2023.040411.

Analysis and Control Strategy of Residual Chlorine Concentration in Swimming Pool Based on Sine and Cosine Function Temperature Prediction Model

Author(s)

Kening Wang, Kangning He, Sijia Gao, Jie Yang

Corresponding Author:
Jie Yang
Affiliation(s)

Jiyang College of Zhejiang A & F University, Shaoxing, Zhejiang, 311800, China

Abstract

With the progress of society, the safety and health needs of human beings are increasing rapidly, and too high or too low residual chlorine concentration in the pool will affect the quality of pool water and the health of users. Therefore, the analysis and control of residual chlorine concentration in swimming pools is an important problem in swimming pool management. First, a differential equation model is established, the reaction rate constant is calculated, and the numerical solution of the differential equation is solved by the Runge-Kutta method, and the temperature is predicted. Next, the influence of the number of swimmers and temperature on the residual chlorine content was considered, and the corresponding differential equation model was established. Runge-kutta method was also used to solve the numerical solution of the differential equation, and the time of each dosage was calculated. In addition, the influence of dosing time, temperature and number of people on swimming pool operation was also considered, and the weights of each factor were determined by the Topsis evaluation method for decision makers' reference. The method in this paper has high accuracy and universality, and provides a valuable reference for solving similar problems.

Keywords

Residual chlorine concentration; Temperature prediction; Runge-kutta method; Topsis evaluation method; Differential equation

Cite This Paper

Kening Wang, Kangning He, Sijia Gao, Jie Yang. Analysis and Control Strategy of Residual Chlorine Concentration in Swimming Pool Based on Sine and Cosine Function Temperature Prediction Model. Academic Journal of Mathematical Sciences (2023) Vol. 4, Issue 4: 74-82. https://doi.org/10.25236/AJMS.2023.040411.

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