초록 |
This study presents an analytic solution for permeation of a pure gas in a hollowfiber module, based on regular perturbation method. It is assumed that pressuredrop due to frictional loss should be proportional to velocity, and that mass transfer bemainly convective with the permeation through the fiber membrane. Four governingequations are characterized by five parameters depending on the design specificationsand operating conditions of the module. When the parameter characterizing pressuredrop is small, regular perturbation method is capable of providing the analyticsolution. Compared with numerical simulation, the analytic solution is found to besufficiently precise when the parameter is far less than the other parameterscharacterizing the mass transfer and pressure difference between permeate and rejectstreams.
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