微流體生物反應器中無因次參數對質傳現象影響之數值與理論研究

Numerical and theoretical study of the effect of dimensionless parameters on the mass transport in a 3D flat-plate microchannel bioreactor

李景超(Jing-Chao Li)

指導教授 ： 鄧志浩

中原大學/工學院/土木工程研究所/碩士(2011年)

https://doi.org/10.6840/cycu201100548

摘要

生物反應器環境對肝細胞合成與解毒功能有很大影響，其中最重要的是培養液濃度需大於細胞最低消耗限度才能維持細胞增殖並降低死亡率。因此需要瞭解反應器底部濃度分佈情形，以有限元素軟體數值模擬反應器的幾何形狀對其底部培養液濃度分佈的影響。
對反應器底部中間濃度而言，二維模擬可替代三維之模擬結果取決於反應器之高寬比（ ），當高寬比 0.4時二維與三維數值恰巧相當接近，故可忽略其3D效應的影響。
本文中我們對其二維濃度物理模式求解，求得其底部濃度分布之理論解，分析其理論以及數值解得到兩者之間關係的差異，發現結果分佈非常吻合。藉由觀察質傳上的兩個無因次參數：Sherwood number （Sh）和有效距離（ ），可以提供實際操作時供給氧氣的指標，同時根據在平板微反應器中質傳特性可以提供這些細胞在生物反應器培養的較佳操作程序及其應用。

關鍵字

數值模擬 ； 有效距離 ； Sherwood number (Sh) ； 高寬比 (α) ； 生物反應器

並列摘要

The bioreactor environment has tremendous influence on the synthesis and the detoxification function of hepatocytes, it is the most important thing that concentration of the nutrient fluid must be over the lowest limit which the cell consume to be able to maintain the cell multiplication and to cut the mortality. Therefore, it needs to find out the base concentration distribution of the bioreactor. In this study, the influence on the dimensionless parameters and geometrical shape of the reactor to its base concentration distribution of the nutrient fluid by numerical simulation and theoretical analysis has been presented.
　　Speaking of the base concentration of the central line of the reactor, the two-dimensional (2D) simulation may substitute the three-dimensional (3D) simulation to be decided by the aspect ratio α ( the ratio of height to width) of the reactor. When the aspect ratio 0.4, the 2D and 3D numerical simulations show very closed results, then the 3D effect can be replaced by the 2D case.
In the study, we analyze and compare the differences between numerical and theoretical results and show very good agreement. To observe two dimensionless parameters: Sherwood number at base (Sh) and effective distance ( ), it can provide the operational criteria for the oxygen supply in the bioreactor. The generalized results show the mass transfer characteristic in the flat-plate microchannel bioreactors may present the applications in culturing cells in these bioreactors.

並列關鍵字

Sherwood number (Sh) ； effective distance ； numerical simulation ； the aspect ratio (α) ； bioreactor

參考文獻

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Transport Phenomena, John Wiley and Sons, New York.

Characteristics of Porcine Hepatocytes,” Metab. Eng., 1, pp. 49–62.

[5] Chisti, Y., 2001, “Hydrodynamic Damage to Animal Cells,” Crit. Rev. Biotechnol., Vol.21(2), pp. 67–110.

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