On mathemathical modeling of flow and fouling in elastic membrane filters

ORAL

Abstract

In this work, we present a mathematical model of an elastic membrane filter with multi-layer bifurcating interior morphology. Two pervasive filtration forcing mechanisms are considered: (i) constant pressure drop; and (ii) constant flux through the membrane. We investigate how filtration behave under these two forcing mechanisms and describe the morphology change due to fouling coupled to membrane pore elasticity. Simulations are conducted under the constant flux condition and then switched to the constant pressure scenario after the pressure reaches a certain threshold. We also compare the results to membranes with no elasticity and analyze the filtration efficiency under different membrane materials.

*P.S. acknowledges an Institutional Support of Research and Creativity (ISRC) grant provided by New York Institute of Technology. Z.C. and S.Y.L. acknowledge financial support in part by the Summer Undergraduate Research Experience offered by the Courant Institute of Mathematical Sciences, New York University. I.C.C. acknowledges financial support in part by NSF Grant No. CBET-1705637 and in part by the donors of the American Chemical Society Petroleum Research Fund under ACS PRF award # 57371-DNI9.

Presenters

  • Pejman Sanaei

    • New York Inst of Tech

Authors

  • Pejman Sanaei

    • New York Inst of Tech
  • Shi Yue Liu

    • Columbia University
  • Zhengyi Chen

    • Columbia University
  • Ivan Christov

    • Purdue University
    • School of Mechanical Engineering, Purdue University