Mathematical modeling of a flat-membrane-controlled release device

Ritesh Ramraj, Stephanie Farrell, Norman W. Loney

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The closed form solution to a mathematical model of a flat membrane device successfully predicts the release profile of benzoic acid. Physically, the device consists of a given concentration of benzoic acid in octanol (reservoir) bounded by a microporous flat film (Cellgard 2400) with water- filled pores. The prediction shows excellent agreement with the experimentally derived release profile (maximum difference < 10%). Predicted results are obtained from the use of the steady state plus the first term of the transient solution (infinite series) and with the use of the first nonzero eigenvalue.

Original languageEnglish (US)
Pages (from-to)2251-2258
Number of pages8
JournalSeparation Science and Technology
Issue number11
StatePublished - 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Process Chemistry and Technology
  • Filtration and Separation


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