Mass Transport in a Microchannel Bioreactor with a Porous Wall

Abstract:

A two-dimensional flow model, incorporating mass transport, has been developed to simulate flow in a microchannel bioreactor with a porous wall. A two-domain method was implemented which was based on finite volume method. For the porous-fluid interface, a stress jump condition was used with continuity of normal stress; and the mass interfacial conditions were continuities of mass and mass flux. Two parameters are defined to characterize the mass transports in the fluid and porous regions. The porous Damkohler number is the ratio of consumption to diffusion of the substrates in the porous medium. The fluid Damkohler number is the ratio of substrate consumption in the porous medium to substrate convection in the fluid region. The concentration results are found to be well correlated by the use of a reaction-convection distance parameter which incorporates the effects of axial distance, substrate consumption and convection.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 3489-3494
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.3489
• Online since: October 2011
• Authors: Hong Tong Low, Xiao Bing Chen, Peng Yu, Sony Winoto
• Keywords: Bioreactor, Mass Transfer, Porous Medium

References

[1] P. Pathi, T. Ma, and B. R. Locke, Role of nutrient supply on cell growth in bioreactor design for tissue engineering of hematopoietic cells, Biotechnology and Bioengineering, Vol. 89, pp.743-758, (2005).

DOI: 10.1002/bit.20367

[2] F. Zhao, R. Chella, and T. Ma, Effects of shear stress on 3-D human mesenchymal stem cell construct development in a perfusion bioreactor system: Experiments and hydrodynamic modeling, Biotechnology and Bioengineering, Vol. 96, pp.584-595, (2007).

DOI: 10.1002/bit.21184

[3] X. B. Chen, P. Yu, S. H. Winoto, and H. T. Low, A numerical method for forced convection in porous and homogenous fluid domains coupled at interface by stress jump, Int. J. Numer. Meth. Fluids, Vol. 56, pp.1705-1729, (2008).

DOI: 10.1002/fld.1575

[4] E. Al-Muftah, and I. M. Abu-Reesh, Effects of simultaneous internal and external mass transfer and product inhibition on immobilized enzyme-catalyzed reactor, Biochemical Engineering Journal, Vol. 27, pp.167-178, (2005).

DOI: 10.1016/j.bej.2005.08.026