Theoretical analysis of convective flow profiels in a hollow-fiber membrane bioreactor

Lynn J. Kelsey, Mark R. Pillarella, Andrew Zydney

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

Although a number of recent experimental and theoretical investigations have demonstrated that radial convection can have dramatic effects on the overall performance of hollow-fiber membrane bioreactors, available theoretical analyses are unable to accurately describe the detailed convective recirculation (or Starling) flow which occurs in these devices. We have developed analytical expressions for the radial and axial velocities and pressure profiles in the hollow-fiber bioreactor, operated in either the closed-shell (recycle) or open-shell (ultrafiltration) mode, by solving the coupled momentum and continuity equations in the fiber lumen, matrix, and surrounding shell. The local velocity profiles were then used to evaluate the flow streamlines and extent of recirculation as a function of operating conditions and geometry. Calculations were also performed to determine the residence time distribution in the membrane bioreactor. For closed-shell operation, the residence time distribution in the hollow-fiber devices is bimodal; the first peak is associated with the fluid that remains in the fiber lumen throughout its passage down the fiber, while the second peak is associated with the fluid that crosses the membrane and enters the shell. Our calculations clearly demonstrate the complex dependence of the flow on membrane properties, hollow-fiber module geometry, and operating conditions. These results have important implications for the design and analysis of hollow-fiber membrane bioreactors with immobilized enzymes or cells.

Original languageEnglish (US)
Pages (from-to)3211-3220
Number of pages10
JournalChemical Engineering Science
Volume45
Issue number11
DOIs
StatePublished - Jan 1 1990

Fingerprint

Bioreactor
Bioreactors
Theoretical Analysis
Membrane
Fiber
Membranes
Fibers
Shell
Residence Time Distribution
Residence time distribution
Fluid
Closed
Immobilized Enzymes
Fluids
Geometry
Continuity Equation
Bimodal
Ultrafiltration
Streamlines
Velocity Profile

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "Although a number of recent experimental and theoretical investigations have demonstrated that radial convection can have dramatic effects on the overall performance of hollow-fiber membrane bioreactors, available theoretical analyses are unable to accurately describe the detailed convective recirculation (or Starling) flow which occurs in these devices. We have developed analytical expressions for the radial and axial velocities and pressure profiles in the hollow-fiber bioreactor, operated in either the closed-shell (recycle) or open-shell (ultrafiltration) mode, by solving the coupled momentum and continuity equations in the fiber lumen, matrix, and surrounding shell. The local velocity profiles were then used to evaluate the flow streamlines and extent of recirculation as a function of operating conditions and geometry. Calculations were also performed to determine the residence time distribution in the membrane bioreactor. For closed-shell operation, the residence time distribution in the hollow-fiber devices is bimodal; the first peak is associated with the fluid that remains in the fiber lumen throughout its passage down the fiber, while the second peak is associated with the fluid that crosses the membrane and enters the shell. Our calculations clearly demonstrate the complex dependence of the flow on membrane properties, hollow-fiber module geometry, and operating conditions. These results have important implications for the design and analysis of hollow-fiber membrane bioreactors with immobilized enzymes or cells.",
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Theoretical analysis of convective flow profiels in a hollow-fiber membrane bioreactor. / Kelsey, Lynn J.; Pillarella, Mark R.; Zydney, Andrew.

In: Chemical Engineering Science, Vol. 45, No. 11, 01.01.1990, p. 3211-3220.

Research output: Contribution to journalArticle

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AB - Although a number of recent experimental and theoretical investigations have demonstrated that radial convection can have dramatic effects on the overall performance of hollow-fiber membrane bioreactors, available theoretical analyses are unable to accurately describe the detailed convective recirculation (or Starling) flow which occurs in these devices. We have developed analytical expressions for the radial and axial velocities and pressure profiles in the hollow-fiber bioreactor, operated in either the closed-shell (recycle) or open-shell (ultrafiltration) mode, by solving the coupled momentum and continuity equations in the fiber lumen, matrix, and surrounding shell. The local velocity profiles were then used to evaluate the flow streamlines and extent of recirculation as a function of operating conditions and geometry. Calculations were also performed to determine the residence time distribution in the membrane bioreactor. For closed-shell operation, the residence time distribution in the hollow-fiber devices is bimodal; the first peak is associated with the fluid that remains in the fiber lumen throughout its passage down the fiber, while the second peak is associated with the fluid that crosses the membrane and enters the shell. Our calculations clearly demonstrate the complex dependence of the flow on membrane properties, hollow-fiber module geometry, and operating conditions. These results have important implications for the design and analysis of hollow-fiber membrane bioreactors with immobilized enzymes or cells.

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