Size Design and Temperature Simulation of High Performance Air Conditioner Based on Air Circulation Equation

With the economic development, environmental regulating equipment such as air conditioners have improved indoor temperature while also bringing about problems such as dry air and deteriorated air quality. This paper takes a rectangular room as the research object, based on the Navier-Stokes equation and Fourier's law of heat conduction, designs the optimal shape and size, and simulates the temperature changes in summer and winter under different influencing factors. Through random search algorithm and finite difference method for solution, the optimal shape and size of the air conditioner are determined. Then, using the Lagrangian CFD method, the influence of the position, quantity, wind direction, angle, wind speed and air volume of the air conditioner on temperature changes is deeply studied. The results show that the summer regulation effect of the air conditioner is better than that of winter. The research in this paper provides theoretical basis and optimization schemes for air conditioner design, and helps to improve the energy efficiency and user experience of air conditioners.