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Mass transfer coefficient of tubular ultrafiltration membranes under high‐flux conditions
Authors:Kazuki Akamatsu  Keita Ishizaki  Shotaro Yoshinaga  Shin‐ichi Nakao
Affiliation:Dept. of Environmental Chemistry and Chemical Engineering, School of Advanced Engineering, Kogakuin University, 2665‐1 Nakano‐machi, Hachioji‐shi, Tokyo 192‐0015, Japan
Abstract:The effect of suction flow on the mass transfer coefficient of tubular ultrafiltration membranes, in particular that under a high‐flux condition, was studied. We pointed out that urn:x-wiley:00011541:media:aic16052:aic16052-math-0001 is proportional to urn:x-wiley:00011541:media:aic16052:aic16052-math-0002 under turbulent conditions, and that the proportional constant, b, exceeds 0.023 when the effect of suction flow is not negligible. We conducted the velocity variation method using ultrafiltration membranes with MWCOs of 20k and 100k and dextrans having molecular weights of 40,000 and 70,000 at the conditions, where urn:x-wiley:00011541:media:aic16052:aic16052-math-0003 exceeded urn:x-wiley:00011541:media:aic16052:aic16052-math-0004. We demonstrated that the effect of suction flow includes not only flux but also the diffusion coefficient of solute, and that the ratio of the flux to the diffusion coefficient, expressed as urn:x-wiley:00011541:media:aic16052:aic16052-math-0005, is an important index. Finally, we concluded that urn:x-wiley:00011541:media:aic16052:aic16052-math-0006, when urn:x-wiley:00011541:media:aic16052:aic16052-math-0007 is smaller than urn:x-wiley:00011541:media:aic16052:aic16052-math-0008, giving the Deissler equation itself, and that urn:x-wiley:00011541:media:aic16052:aic16052-math-0009, when urn:x-wiley:00011541:media:aic16052:aic16052-math-0010 exceeds urn:x-wiley:00011541:media:aic16052:aic16052-math-0011. © 2017 American Institute of Chemical Engineers AIChE J, 64: 1778–1782, 2018
Keywords:mass transfer coefficient  wall Peclet number  suction  flux  diffusion coefficient
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