Membrane reactors for the production of pure hydrogen are complex systems whose performance is determined by the interplay between transport by convection and dispersion within the packed bed, hydrogen permeation across the membrane, and the reaction kinetics. Much effort has been devoted to the development of simplified models that combine an adequate description of the system, while maintaining a low computational cost. In this context the present work has the aim of showing the derivation of an enhanced Sherwood number, accounting for changes in composition that occur along the reactor as a consequence of both reaction and permeation. We consider the case of an infinitely fast reaction, in which the composition may be determined on the basis of equilibrium conditions.

用于生产纯氢的膜反应器是复杂的系统，其性能取决于对流运输和填充床内的分散，氢穿过膜的渗透以及反应动力学之间的相互作用。在简化模型的开发上已付出了很多努力，这些模型结合了对系统的充分描述，同时保持了较低的计算成本。在这种情况下，本发明的目的是显示出增加的舍伍德数的推导，这解释了由于反应和渗透而沿反应器发生的组成变化。我们考虑无限快速反应的情况，其中可以根据平衡条件确定组成。