On the structure of the single phase flow field in hollow fiber membrane modules during filtration, J. of Membrane Science
Έτος : 2008
Author : Kostoglou M., and Karabelas A.J.
Whereas the structure of the ﬂow ﬁeld generated in the hollow ﬁber membrane modules operating as liquid–liquid or gas–liquid contactors has been studied extensively theoretically, this is not the case for the much more complex ﬂow ﬁeld generated during the ﬁltration operation of the same type of modules. The present work is a ﬁrst approach to analyze and understand the particular ﬂow ﬁeld. The mathematical problem is formulated and then geometrical and physical simpliﬁcations are introduced in order to decompose the full problem in a series of simpler sub-problems. In addition to the presentation of the general structure and the features of the problem, the focus of the present work is to derive all possible analytical solutions of the sub-problems. Several results based on analytical or simple numerical approaches are also presented.