摘要
The fractal theory was introduced into the gas solid catalytic reaction system to describe the influence of the surface irregularity of catalyst on the gas solid catalytic reaction.A fractal reaction diffusion model is proposed for irregular particles.Based on the shape characterization of the irregular particle,the mth order irreversible reactions are theoretically analyzed.A steady state equation of material balance and its solution as the concentration profile of reacting species are given for the reaction diffusion model for irregular particles.Meanwhile,the effectiveness factors are also expressed with fractal dimension.The results indicate that the higher the fractal dimensions,the higher the total reaction rate,and with the increase of the fractal dimension,the utilization factor of the catalyst is deeply increased.
利用分形维数定量表征催化剂的形状不规则程度 ,对其中进行的气 -固相催化反应进行了分析计算 .计算结果表明 ,催化剂的形状越不规则 ,催化剂的外表面分形维数越高 ,在相同反应条件下 ,催化剂的利用率越高 .同时给出了适用于形状不规则催化剂的通用 Thiele模数 .计算结果还表明 ,分形维数只影响通用 Thiele模数的数值 ,但在相同的通用Thiele模数下 。
