Abstract: In the fluid-solid particles reaction system, the rate of reaction in general is influenced by the solid reactant concentration left in the solid particles as well as by the operating conditions such as temperature and pressure. Under these conditions, calculation of extent of reaction of solid particles in a multistage reactor must be based on the residence time distribution (RTD) of solid particles in each stage of the reactor system. By using either Dirac function d(o) or the probability density function for sums of independent random variables, the RTD of the particles in each stage of continuously stirred tank reactor(CSTR)was derived in this paper. The probability density function was also used to derive the general formula for calculation of extent of reaction of solid particles in CSTR. This equation could be as well obtained from the probability density function of the solid reactant concentration distribution. For several special reaction rate equations, general formulas for calculation of the extent of reaction in any number of stages of CSTR were given, when analytical solution is rather difficult to find with complex reaction rate equations, numerical methods for calculation of the probability density function stage by stage were investigated with either the reaction time or the fractional degree of reaction of solid particles used as calculation parameter.

摘要： 本文针对级内颗粒完全混合一级间无颗粒返混的多级反应器,探讨了按停留时间分布计算固体颗粒反应率的方法。首先分析了用δ（0）函数示踪法与多元独立随机变量和的分布密度函数法求颗粒停留时间分布的特点;应用后一种方法推得了计算颗粒反应产率的一般公式。从固体颗粒固相反应物浓度分布密度函数也可以推得此公式。在此基础上对一类特殊的反应速度方程,解析求出了直接计算任何一级反应产率的通式;对求解计算通式困难的反应速度方程,论证了两种逐级计算方法:以反应时间作计算参量及以颗粒固相反应物浓度作计算参量。