Ultrasonic chemical reactor dispersion polymerization

The temperature simulation of acoustic wave reaction facilities, the current numerical algorithms for solving temperature fields are finite difference method and finite element method, both of which have their own characteristics. The finite difference method is a method of deriving the linear algebraic equation of the joint temperature from the thermally conductive partial differential equation and its definite solution conditions. It is limited to the regular differential mesh (square, rectangular, and equilateral triangle), which is rigid and inflexible. The finite element method captures the function of the element. It is a functional variation of the thermal solution problem or a weighted residual method from the differential equation to derive the linear algebraic equation of the node temperature. The basic idea of ​​the finite element method is to solve the problem domain as a series of units. The units are connected by nodes only. The amount of the unit to be determined can be obtained by interpolating the unit node quantity through the selected function relationship.

Because the unit shape is simple, it is easy to establish the equation between the node quantities from the equilibrium relationship or the energy relationship, and then the individual unit equations are “grouped together” to form the overall algebraic equations, and the equations can be solved after the boundary conditions are included. The finer the cell division, the more accurate the calculation results. Jiang Nan et al. used ANSYS software to establish a model of tire heat transfer heat transfer, and simulated the temperature field change process inside the tire under different heating modes. Finally, the model simplification, boundary condition processing and limited for tire sulfurization heat transfer simulation analysis were obtained. Methods such as meta-meshing make the finite element model available for vulcanization temperature field analysis. Yan Xiaolin and others used ANSYS finite element software to solve the thermal process of continuous casting billet. Zhou Bailing and other applications used ANSYS software to analyze the distribution of the temperature field of the flexible gyroscope, and achieved good numerical simulation results.

In this paper, the styrene dispersion polymerization initiated in the ultrasonic chemical reactor is taken as an example. When the ultrasonic output power is 400W using ANSYS software, the temperature field distribution of the reaction medium at different times is simulated, which is the dispersion polymerization initiated in the ultrasonic chemical reactor. The reaction mechanism study of the reaction provides a theoretical basis. 2 Mathematical model of temperature field In the general three-dimensional problem, the field equation θ(x, y, z, t) of the transient temperature field should satisfy the differential equation in the Cartesian coordinate system. (1) This equation is the heat balance equation. The first item in the formula is the heat required for the temperature rise of the micro-body; the second, third, and fourth items are the heat transferred into the micro-body from the x, y, and z directions; the last item is the heat generated by the heat source in the micro-body.