Optimal control for mixing enhancement in boundary layers at membrane walls

Hua Ouyang, Yuanqing Xia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes a scheme for mixing enhancement in the boundary layers of pressure-driven membrane systems. This scheme uses an external electric field to activate the ions in the area adjacent to the membrane surface and generate an electro-osmotic flow. This scheme should reduce fouling and concentration polarization close to the membrane surface and may increase productivity of membrane systems. The objective of the feedback control design for this system needs to determine the voltage (and waveform) applied to the electrodes so that the electric field can effectively increase the mixing in the vicinity of membrane surface, while saving control power. This paper uses a mixing index in terms of the spatial gradients of the perturbation velocity field, which describes the mixing caused by both length stretching and folding. An optimal control problem is defined to maximize mixing in the area adjacent to the membrane and achieve control energy efficiency. In addition, the efficacy of the feedback scheme is validated by Computation Fluid Dynamics (CFD) simulation. The given control law not only solves the optimal problem but also provides the desired waveform for such applications.

Original languageEnglish
Title of host publicationProceedings of the 2012 UKACC International Conference on Control, CONTROL 2012
Pages894-899
Number of pages6
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 UKACC International Conference on Control, CONTROL 2012 - Cardiff, United Kingdom
Duration: Sep 3 2012Sep 5 2012

Other

Other2012 UKACC International Conference on Control, CONTROL 2012
CountryUnited Kingdom
CityCardiff
Period9/3/129/5/12

Fingerprint

Boundary layers
Membranes
Electric fields
Fluid dynamics
Fouling
Power control
Stretching
Feedback control
Energy efficiency
Productivity
Polarization
Feedback
Electrodes
Computer simulation
Ions
Electric potential

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Ouyang, H., & Xia, Y. (2012). Optimal control for mixing enhancement in boundary layers at membrane walls. In Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012 (pp. 894-899). [6334750] https://doi.org/10.1109/CONTROL.2012.6334750

Optimal control for mixing enhancement in boundary layers at membrane walls. / Ouyang, Hua; Xia, Yuanqing.

Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012. 2012. p. 894-899 6334750.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ouyang, H & Xia, Y 2012, Optimal control for mixing enhancement in boundary layers at membrane walls. in Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012., 6334750, pp. 894-899, 2012 UKACC International Conference on Control, CONTROL 2012, Cardiff, United Kingdom, 9/3/12. https://doi.org/10.1109/CONTROL.2012.6334750
Ouyang H, Xia Y. Optimal control for mixing enhancement in boundary layers at membrane walls. In Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012. 2012. p. 894-899. 6334750 https://doi.org/10.1109/CONTROL.2012.6334750
Ouyang, Hua ; Xia, Yuanqing. / Optimal control for mixing enhancement in boundary layers at membrane walls. Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012. 2012. pp. 894-899
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