Optimization of temperature and speed calculation for heat exchange processes in adiabatic conditions
Abstract
The article shows a model of heat exchange for a cylindrical workpiece with a non-stationary regime in adiabatic conditions. The average velocity of propagation of three-dimensional heat exchange front along the cylinder and the average transverse temperature for this mode are determined through the equations of thermal conductivity and the equation of kinetics. In addition, the influence of the cylinder radius on the heat transfer rate is determined, It has been shown that the average transverse temperature of the cylinder during heat transfer is determined using the equations of thermal conductivity and boundary conditions. Also using the equation of kinetics, we obtain the value of the average velocity of propagation of the three-dimensional front along the cylinder for nonstationary mode in adiabatic conditions. It is investigated through the R0 parameter, which shows how much the radius of the cylinder is larger than the characteristic value of the reaction zone, that with increasing the radius, the heat transfer rate decreases slightly. The dependence of R0 on the characteristic value of the reaction zone G / Td for two modes of the degree of distance from the region is graphically shown. Using the equations of thermal conductivity and the equations of kinetics with initial and boundary conditions, the average velocity of propagation of the front along the cylinder for the nonstationary regime in adiabatic conditions and the average transverse temperature are determined. The axisymmetric boundary value problem of nonstationary heat exchange with the motion of the heat front along the axis of symmetry of the cylinder is solved. The given mathematical model of heat exchange process has been investigated using the finite difference method and ANSYS software. It is shown that the temperature of the heat transfer transformation depth is in the section, perpendicular to the axis of the cylinder, which passes through the point with the maximum temperature, and the higher the temperature, the lighter the shading of the area
Keywords
heat transfer; cylindrical workpiece; mathematical model; temperature; thermal processes; finite difference method; ANSYS
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