Roll profile electronic temperature control technology (RPETCT) is a roll profile flexible control technology based on the principle of semiconductor thermoelectricity. It can form a specific heat flow in the roll with the help of a multi-stage electronic temperature control device, so as to realize the preset of the original roll profile of the work roll before rolling. In this paper, the finite element model of RPETCT is established, and the experimental platform of RPETCT is built for verification. Based on this, the single-sheet control ability, multi-sheets joint control ability and high-order roll profile generation ability are studied. The results show that increasing the current can improve the regulation ability of quadratic and quartic convexity under the temperature control mode of hot and cold ends. Under the two temperature control modes, the position of the quartic convexity will not change with the current. In the multi-sheets joint control mode, the bulging capacity in the middle of the roll will decrease with the increase of the distance between the sheets. In addition, this paper explores the generation ability of electronic temperature control roll profile under multi-sheets joint control and the roll profile generation rate under different working conditions, and preset the cubic and quartic roll profile curves with good fitting degree.

To accurately characterize the geometric structure of closed-cell aluminum foam, a three-dimensional stochastic sphere model with adjustable porosity and pore size was established, and its thermal conductivity was studied by numerical simulation. A closed-cell aluminum foam heat conduction experiment was designed to verify the accuracy of the model. Using this model, the thermal conductivity of aluminum foam with different pore sizes and porosity was calculated, and the variation of thermal conductivity was studied. The results show that with the same porosity, the thermal conductivity increases linearly with the pore size. With the same pore size, the thermal conductivity decreases linearly with the porosity. The equivalent thermal conductivity decreases with the increase of porosity. According to the simulation results, the formula of equivalent thermal conductivity of aluminum foam is λ θaluminum foam, 3-D stochastic sphere model, aluminum foam, pore size, porosity, thermal conductivity