TY - JOUR
TI - The math modeling research of constant temperature bath
AU - Wei Jinling
AU - Yu Xueyong
AU - Wei Yili
AU - Zhang Fan
AU - Wang Shuoping
AU - He Jie
JN - Thermal Science
PY - 2019
VL - 23
IS - 5
SP - 2783
EP - 2792
PT - Article
AB - This paper studies how the temperature in the bathroom keeps changing when people bathe in the bathtub. The shape, capacity, behavior and body posture of people in the bathroom are considered. In fluid mechanics point of view, we consider the impact of the flow of heat transfer, by the energy differential equations and boundary-layer momentum to establish a set of PDE, and use Laplace operator rewrite it. We use finite difference method, with Taylor series expansion. We use the function value of grid nodes of difference quotient instead of control equation of derivative, and discretize it, and solve the heat conduction equation.