^{1}

^{2}

^{3}

Factors affecting bath water temperature model include the shape and size of a bath, people’s gesture, volume, individual temperature adaptation as well as body movement in the bath. In addition, the bathroom space, ambient temperature and bath materials will also affect changes of the water temperature to a certain extent. In this paper, the cooling function and linear regression method are used and the MATLAB software is also used to simulate the model of water temperature, alkaline bath foams that obtained can accelerate changes in water temperature.

In this article, the tap water injection of the liquid flow rate, flow velocity obtained is the speed of the water and can make the water temperature keep the minimum flow rate balance. Balance, each point temperature in cylinder meet, therefore only needs in the convection heat transfer equation of the model and the conditions can be obtained by temperature reach stable each point of the temperature distribution in cylinder. Bath tub, not with auxiliary heating system insulation, but it is just a simple tank. When a person is in the bath, in order to maintain the temperature of the bath and to make people feel a degree of comfort, faucet will continue to increase a certain amount of hot water bath and then heat to maintain the temperature of the bath. When the water bath reaches its capacity, the excess water will overflow through the gutter.

In this subject, when volume of bath crock is certain, its shape and posture and body movement of man will have an effect on the temperature of bath crock model in certain degree, which has a great influence on the water temperature model of the human body movement for the design. Define the cooling function [

a―the opening arc coefficient, x―the bath side arc width, f(x)―the bath side arc height, b―parameter.

From

From

When b = 0,consider establishing the cylinder wall surface equation: y = ax^{2}, The bathtub is a parabolic, due to the known his height is 185 cm covers the average height of most countries in the world, so I can take this one back long as the height of the bath, Because the man’s shoulder breadth also know, so to determine the surface y = ax^{2} coefficient of a value, considering the bathtub openings at least just match with the man’s shoulder width, it can be concluded:

L and W in (2) type, get a = 0.079, namely, the cylinder wall surface equation:

Correlation coefficient | Unitary regression value | The regression equation | Simplified expression | ||
---|---|---|---|---|---|

M | B | Y = MX + B | |||

Full shoulder | 0.935228 | 0.176737 | 9.60326 | Y = 0.18X + 9.6. | Y = 0.2X + 10 |

Back length | 0.997725 | 0.290118 | −11.5919 | Y = 0.3X − 11.6 | Y = 0.3X − 12 |

Back width | 0.980125 | 0.203581 | 1.031154 | Y = 0.2X − 1 | Y = 0.2X − 1 |

Country | Ranking | Male average height |
---|---|---|

Holland | 1 | 183.8 cm |

Denmark | 2 | 182.6 cm |

Norway | 3 | 182.4 cm |

U.S.A | 19 | 177.5cm |

China | 57 | 171.7cm |

Through the analysis and comparison of

Considering the temperature distribution model of cuboid bath, we adopt the parallel section method because of the symmetry of the cuboid. The bath water temperature distribution field is obtained under the influence of different shapes and individual factors by establishing the mathematical model. Although the cylinder wall heat loss of it is very few, most of these calories from contact with the cylinder wall of water lost out, just to lower the temperature of the cylinder wall near the water, which makes us get the result of the cylinder wall near do not tally with the actual situation.

Not adding detergent air near the surface of the air makes temperature fall slowly while adding detergent air near the air surface makes temperature drop quickly.

Zhen Xu,Lihong Zhao,Kai Tan, (2016) Analysis of Alkaline Foam to Water Temperature Model. World Journal of Engineering and Technology,04,433-436. doi: 10.4236/wjet.2016.43043