Dynamic modeling and optimization in membrane distillation system

Fadi Eleiwi, Meriem Laleg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

17 Scopus citations


This paper considers a dynamic model for a direct-contact membrane distillation process based on a 2D advection-diffusion equation. Thorough analysis has been carried on the equation including descritization using an unconditionally stable algorithm with the aid of Alternating Direction Implicit method (ADI). Simulations have showed a consistency between the proposed model results and the expected behavior from the experiments. Temperature profile distribution along each membrane side, in addition to flux and flow rate variations are depicted. Distribution of temperature of all the points in feed and permeate containers has been obtained with their evolution with time. The proposed model has been validated with a data set obtained from experimental works. The comparison between the proposed model and experiments showed a matching with an error percentage less than 5%. An optimization technique was employed to find optimum values for some key parameters in the process to get certain amount of mass flux above desired values.

Original languageEnglish (US)
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsXiaohua Xia, Edward Boje
PublisherIFAC Secretariat
Number of pages6
ISBN (Electronic)9783902823625
StatePublished - Jan 1 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
ISSN (Print)1474-6670


Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/TerritorySouth Africa
CityCape Town


  • 2D advection diffusion
  • ADI discretization
  • Dynamical modeling
  • Membrane distillation
  • Optimization

ASJC Scopus subject areas

  • Control and Systems Engineering


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