Deadend outside-in hollow fiber membrane filter: Mathematical model

Yuriy S. Polyakov

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A mathematical model describing the performance of deadend outside-in hollow fiber filters developed on the basis of Darcy's law and the theory of depth filtration accounting for the decrease in the liquid flow rate with filter depth coordinate due to permeate withdrawal is studied. The system of governing equations is solved with the generalized Crank-Nicholson method of central finite differences and approximate methods based on averaging certain process parameters, which use simple Laplace transform solutions for particular cases. It is shown that some of the approximate methods provide an accuracy acceptable for engineering calculations, implying that they can be used in designing more efficient filters.

Original languageEnglish (US)
Pages (from-to)615-624
Number of pages10
JournalJournal of Membrane Science
Issue number1-2
StatePublished - Aug 1 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Biochemistry
  • General Materials Science
  • Physical and Theoretical Chemistry
  • Filtration and Separation


  • Cake deposition
  • Depth filtration
  • Mathematical model
  • Microfiltration
  • Ultrafiltration


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