根据Mandelbrot的分形几何概念,建立了流体在粗糙表面进行化学反应的动力学模型.该模型的无量纲表达式为1-(1-X)1-βDs/3=t/t1,式中x为转化率,β为浓度级数,Ds为分形维数,t1为完全化学反应时间.该模型适用于描述焦炭气化反应速率过程,相应的表观激活能为54.814 kJ/moL与传统的收缩核模型相比,分形模型与实验数据的符合程度更好、物理意义更清晰.传统的收缩核模型只是分形模型在规整几何条件下的特殊形式.
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