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TECHNICAL PAPERS: Fluids/Heat/Transport

Mass Transport and Shear Stress in a Microchannel Bioreactor: Numerical Simulation and Dynamic Similarity

[+] Author and Article Information
Yan Zeng, Thong-See Lee, Peng Yu

Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576

Partha Roy

Division of Bioengineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576

Hong-Tong Low

Division of Bioengineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576mpelowht@nus.edu.sg

J Biomech Eng 128(2), 185-193 (Nov 15, 2005) (9 pages) doi:10.1115/1.2170118 History: Received November 11, 2004; Revised November 15, 2005

Microchannel bioreactors have been used in many studies to manipulate and investigate the fluid microenvironment around cells. In this study, substrate concentrations and shear stresses at the base were computed from a three-dimensional numerical flow-model incorporating mass transport. Combined dimensionless parameters were developed from a simplified analysis. The numerical results of substrate concentration were well correlated by the combined parameters. The generalized results may find applications in design analysis of microchannel bioreactors. The mass transport and shear stress were related in a generalized result. Based on the generalized results and the condition of dynamic similarity, various means to isolate their respective effects on cells were considered.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 2

Axial distribution of substrate concentration at base plane (y=0) in 2D microchannel

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Figure 1

Scheme of the rectangular microchannel bioreactor (not to scale)

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Figure 3

Substrate concentration profile in the 3D channel; Pe=100, Da=0.5, K¯m=0.068, and α=0.4. (a) Center axial plane (z=0); (b) bottom plane (y=0); (c) transverse plane (x=l∕2).

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Figure 4

Base concentration distribution in axial direction (x direction) at different Pe and Da; K¯m=0.405, α=0.4

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Figure 5

Concentration-reaction parameter (zeroth-order) at base as a function of effective distance at different Da; α=0, 0.40. (a) At different Da: (b) at different K¯m.

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Figure 6

Concentration-reaction parameter at base as a function of effective distance at different K¯m and Da, α=0.4

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Figure 7

Nondimensional curve of critical length as a function of critical concentration-reaction parameter

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Figure 8

Nondimensional shear stress distributions at base plane (y=0)

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Figure 9

Maximum friction factor as a function of aspect ratio and Sc∕Pe

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Figure 10

Concentration-reaction parameter at base as a function of distance-shear parameter at different K¯m and Da, α=0.4

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