Sbg

where

and 4> is the packing fraction of the hollow fiber module. So the Voronoi tessellation technique can provide us with a way to determine the distribution of polygonal area and the local packing fraction.

(2) Flow distribution

Consider the flow field of longitudinal laminar flow between cylinders arranged in triangular array, as shown in Fig. 55. The momentum equation for this flow field in cylindrical coordinates is d2u i 1 du + 1 d2u 1 dp r dr r2 802 p. dz

An important variable for describing the flow distribution in the overall fiber bundle is the product of the friction factor and Reynolds number, . / Re When solving Eq. (85),

Sparrow [37] developed an effective method to calculate the / • Re :

/•Re =

b4i

dpYI

Vn\

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