Reactors with Enzymes Segregated in the Lumen of Hollow Fibers

Reactors with Enzymes Segregated in the Lumen of Hollow Fibers 

A theoretical analysis of such enzyme membrane reactors was carried out by Rony46 and Waterland et al.47 In the Waterland model, which refers to asymmetric hollow fibers, each fiber is assumed to be at the nodal position in an equilateral triangular mesh, so that it is equidistant from six adjacent fibers. 

In the absence of pressure driven fluxes through the membrane and assuming a laminar flow pattern, a hexagonal free shear layer should sheath each fiber the hexagon is approximated by an equivalent circle of radius Re. 

The equations of fluid flow in region 4 are then similar to those of a liquid film falling around a cylinder  

The mass transport equations for substrate concentration can be expressed as follows  

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