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Numerical simulation of orbitally shaken viscous fluids with free surface

journal contribution
posted on 11.09.2015, 14:05 by Marco DiscacciatiMarco Discacciati, David Hacker, Alfio Quarteroni, Samuel Quinodoz, Stephanie Tissot, Florian M. Wurm
Orbitally 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 Fluids

Volume

71

Issue

3

Pages

294 - 315

Citation

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

2012

Notes

This article is closed access.

ISSN

1097-0363

Language

en