类椭球体放矿理论实际散体速度方程和密度方程的构建

依据放矿实验结果得到的密度经验公式和松动体质量平衡方程的理论要求,论证了类椭球体放矿理论创立时提出的密度方程符合实际并满足理论要求,建立了垂直下移实际速度和速度阻滞系数的理论表达式,并根据密度方程和移动体质量平衡方程得出了与类椭球体放矿理论创立时完全相同的速度阻滞系数和实际散体速度方程,实际散体速度是理想散体速度与速度阻滞系数之积。研究结果表明:类椭球体放矿理论创立时提出的密度方程、实际散体速度方程及速度阻滞系数公式具有充分的理论基础。

Construction of the Actual Granular Velocity Equation and the Density Equation Based on Quasi-ellipsoid Drawing Theory

Based on the loose body mass balance equation and density empirical formula obtained from the ore-drawing tests， it was proved that the density equation presented in the foundation of the quasi-ellipsoid drawing theory satisfied the reality as well as the theoretical requirements. The theoretical expressions of the actual vertical velocity and velocity viscosity coefficient were established， and the velocity viscosity coefficients and the actual granular velocity equation were obtained according to the density equation and mass balance equation of the moving body， which are exactly the same as the one when the quasi-ellipsoid drawing theory was founded. The actual granular velocity equals the product of the ideal granular velocity and velocity retardation coefficient. The research results show that the density equation， the actual granular velocity equation and the velocity retardation coefficient formula have sufficient theoretical basis when the quasi-ellipsoid drawing theory was found.