Simulation and analysis of heat dissipation performance of octagonal slotted circle based on LBM lattice algorithm

Abstract In this paper, the heat dissipation performance of slotted octagons based on LBM lattice algorithm is studied, and the heat dissipation performance of octagons with different slotting degrees and Rayleigh numbers is simulated and analyzed by using LBM lattice algorithm. Based on the Boltzmann equation, the characteristics of gas molecules are analyzed. On this basis, it is applied to the analysis of the heat dissipation performance of the octagon with a circular slit. So far, the analysis method of heat dissipation performance of octagonal slotted circle based on LBM lattice algorithm has been designed. Using the design method to analyze the heat dissipation performance of slotted octagon, it can be seen that under the same Rayleigh number, the larger the slit angle is, the natural convection heat transfer caused by gravity gradually weakens, and the thermal conductivity decreases. When the Rayleigh number increases to 106, the thermal conductivity oscillates periodically with time; When the Rayleigh number continues to increase to 107, the thermal conductivity changes non periodically with time, and the flow and heat transfer have strong linear characteristics; When the slit degree increases to 0.4, the low temperature region increases with the increase of heat flow distance, and the resistance near the slit decreases. The simulation results show that the accuracy of the design method is high and the error is small, only 2%, which can realize the accurate analysis of the heat dissipation performance of the slotted octagon.