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Numerical simulation of orbitally shaken viscous fluids with free surface
journal contribution
posted on 2015-09-11, 14:05 authored by Marco DiscacciatiMarco Discacciati, David Hacker, Alfio Quarteroni, Samuel Quinodoz, Stephanie Tissot, Florian M. WurmOrbitally shaken bioreactors are an emerging alternative to stirred-tank bioreactors for large-scale mammalian cell culture, but their fluid dynamics is still not well defined. Among the theoretical and practical issues that remain to be resolved, the characterization of the liquid free surface during orbital shaking remains a major challenge because it is an essential aspect of gas transfer and mixing in these reactors. To simulate the fluid behavior and the free surface shape, we developed a numerical method based on the finite element framework. We found that the large density ratio between the liquid and the gas phases induced unphysical results for the free surface shape. We therefore devised a new pressure correction scheme to deal with large density ratios.
The simulations operated with this new scheme gave values of wave amplitude similar to the ones measured experimentally. These simulations were used to calculate the shear stress and to study the mixing principle in orbitally shaken bioreactors
Funding
This research was supported by the Swiss National Science Foundation through the project Sinergia ‘Fluid dynamics and mixing behavior in orbitally shaken bioreactors for mammalian cell cultivation’ (project n. CRSII2-125444).
History
School
- Science
Department
- Mathematical Sciences
Published in
International Journal for Numerical Methods in FluidsVolume
71Issue
3Pages
294 - 315Citation
DISCACCIATI, M. ... et al, 2012. Numerical simulation of orbitally shaken viscous fluids with free surface. International Journal for Numerical Methods in Fluids, 71 (3), pp. 294 - 315.Publisher
© John Wiley and Sons.Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2012Notes
This article is closed access.ISSN
1097-0363Publisher version
Language
- en