A method for constructing and using a mathematical model for saving hot water for bathing

A mathematical model and construction method technology, applied in the direction of design optimization/simulation, calculation, computer-aided design, etc., can solve problems such as the inability to achieve the initial temperature, achieve easy-to-understand programming calculations, facilitate programming calculations, and improve work efficiency.

Active Publication Date: 2022-04-22
电子科技大学成都学院
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Problems solved by technology

[0003] The purpose of the present invention is to provide a method for constructing and using a mathematical model for saving hot water for bathing, which solves the problem of not wasting water and keeping the initial temperature of the water in the bathtub as much as possible

Method used

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  • A method for constructing and using a mathematical model for saving hot water for bathing
  • A method for constructing and using a mathematical model for saving hot water for bathing
  • A method for constructing and using a mathematical model for saving hot water for bathing

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Embodiment 1

[0089] A method for constructing a mathematical model for saving hot water for bathing provided by the invention comprises the following steps:

[0090] First determine the water surface heat dissipation formula. The water surface heat dissipation formula includes convective heat dissipation and evaporative heat dissipation. The water surface heat dissipation formula is the sum of the values ​​​​of convective heat dissipation and evaporative heat dissipation. The specific content is as follows:

[0091] Convective heat dissipation is the heat dQa transferred from the water surface to the air per unit time through the water surface:

[0092] dQa=α(t-θ)dF (1)

[0093] In the formula, α is the heat dissipation coefficient, unit: W / (m 2 ℃); t is the surface temperature of the water body, unit: ℃; θ is the dry bulb temperature of the air, unit: ℃; dF is the unit area of ​​water-air contact, unit: m 2 ;

[0094] Evaporative heat dissipation is the heat dQb of evaporation through ...

Embodiment 2

[0156] refer to figure 1 As shown, from the curve of the initial temperature of the water in the bathtub with time, at 19.54 minutes, the water temperature in the bathtub has changed from the initial temperature T 1 =40℃ lowered to the minimum temperature T set for the water temperature in the bathtub 2 =35°C, that is, the time point t of injecting hot water 1 = 19.45 min.

Embodiment 3

[0158] refer to figure 2 Shown, on the basis of embodiment 2, when the bathtub water capacity is 25L, the faucet outlet cross-sectional area S=4.9cm 2 1. Under the condition of water velocity v=1.0m / s in the faucet: when hot water is injected, the time for the water to overflow the bathtub is about 31s. At this time, the temperature of the water in the bathtub is 38.8°. When the hot water injected reaches the set temperature and the total volume of water in the bathtub does not exceed the maximum capacity of the bathtub, the total time for injecting hot water t 2 =48s; when the total volume in the bathtub is equal to the maximum capacity after hot water is injected, and the water temperature in the bathtub does not reach the set temperature, the total time for injecting hot water is t 2 '=51s.

[0159] Therefore, when the injected hot water reaches the set temperature and the total volume of water in the bathtub does not exceed the maximum capacity of the bathtub, the total...

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Abstract

The invention discloses a method for constructing and using a mathematical model for saving hot water for bathing, and belongs to the technical field of controlling hot water injection. The method includes determining the water surface heat dissipation formula, the water surface heat dissipation formula includes convective heat dissipation and evaporative heat dissipation, the water surface heat dissipation formula is the sum of the values ​​of the convective heat dissipation and evaporative heat dissipation, determining the time point when hot water is added, and determining the expression of the water temperature in the bathtub after the hot water is injected Based on the least square method, the water temperature cooling model is established, and the mathematical model of the injection time of hot water is established. The models established by the modeling method of the present invention are simple, easy to understand, convenient for programming and calculation, improve work efficiency, and can solve practical problems excellently, and not only solve the problems to a certain extent through the analysis of actual data , and can also provide reference experience for establishing a more reasonable model based on the comparison between the analysis results and the actual situation. In particular, the hot water injection time variation model can be widely generalized.

Description

technical field [0001] The invention belongs to the technical field of controlling the injection amount of hot water in the bathing process. In particular, it relates to a method for constructing and using a mathematical model for saving hot water for bathing. Background technique [0002] Under different influencing factors, such as the shape of the bathtub, the capacity of the bathtub, the temperature of the person, the volume of the person, the movement of the person in the bathtub, etc., the optimal method model for maintaining the temperature of the hot water is established. However, if various factors are considered When a change occurs, it will have a certain impact on the model, and it cannot solve the problem of maintaining the water temperature while adding the least amount of hot water. It is urgent to propose a new model construction method to solve the above problems. Contents of the invention [0003] The object of the present invention is to provide a metho...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F119/08
Inventor 郑雅匀帅鲲
Owner 电子科技大学成都学院
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