Honglin Wang. Analysis of Furnace Temperature Curve Characteristics Based on Heat Transfer Partial Differential Control Equation. Dynamic Systems and Applications 30 (2021) No.4, 598-614

https://doi.org/10.46719/dsa20213047

ABSTACT.
The main idea of this paper is to establish a corresponding mechanism model for the furnace temperature curve for analysis and research. First according to Fourier law and the law of conservation of energy establish the unsteady heat transfer control equation, so as to obtain the temperature distribution model of the reflow furnace in a steady state, and then analyze the heat exchange method between the reflow furnace and the welding area, mainly considering the influence of heat convection and heat radiation. The convection heat transfer model based on Newton’s cooling law and the radiation heat transfer model based on Stefan-Boltzmann’s law are established respectively. According to the heat absorbed in the welding area per unit time equal to the heat transferred by thermal convection and thermal radiation, the heat transfer partial differential control equation model is established. According to the data given by the China National College Students Mathematical Modeling Competition, the method of combining experiment and theory is used to study how the furnace temperature curve depends on the temperature of each temperature zone of the reflow furnace and the speed of the conveyor belt. Numerical simulation results show that the established model can better predict the change of furnace temperature curve, and the parameters of the reflow furnace are optimized according to the actual industrial goals to obtain better industrial output.

Keywords: Furnace temperature curve, thermal convection, thermal radiation, Newton’s cooling law, numerical simulation.