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As in heat exchange, concentration boundary layers do not increase as rapidly in cross-flow as in axial flow. The reduction in concentration boundary layer thickness increases mass transfer coefficients. One may attribute the negative (lower values) deviations to a combination of the other complexities of shell-side flow illustrated in Figure 2. First, poor fluid distribution from the shell inlet port may lead to higher flows in some regions and lower flows in others than one would expect if the axial pressure gradient was uniform throughout the bundle.

003. The sources ofthe correlations are: o Yang and Cussler [8], + Prasad and Sirkar [9], * Costello et al. [10], x Viegas et al. [11], 0 Gawronski and Wrzesinska [12], and small dot Wu and Chen [13]. The [] represent theoretical predictions for a square packing with uniform wall mass flux from Miyatake and Iwashita [23]. flow through each region is calculated from an appropriate friction factorReynolds number relationship using the region's hydraulic diameter and assuming the pressure drop across each region is the same.

Dashed curves are approximate analytical solution. The dashed curves show the calculations using the approximate analytical solution, in which case the deposit mass is uniform across the fouled region of the membrane at its maximum value. The solid curves are the calculations using the full numerical solution and show the variation in deposit mass over the fouled region of the membrane. Even at long filtration times, the deposit mass remains relatively uniform over the membrane surface due to the inherent "selfleveling" character of the fouling process.

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The Influence of Vedic Philosophy on Nikola Tesla


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