The Simulation of Electrophoretic Separation by the Space-Time Conservation Element and Solution Element Method

• Main Authors: Jia-Wei Yu, 游佳維
• Other Authors: Ruey-Jen Yang
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/14484437680470220139

碩士 === 國立成功大學 === 工程科學系碩博士班 === 95 === The space-time conservation element and solution element (CESE) method is applied to simulate the moving boundary electrophoresis (MBE), zone electrophoresis (ZE) and isotachophoresis (ITP) separation phenomena. The CESE method expresses the governing equation in the integral form of the conservation law, and has a second-order accuracy in both space and time. The current results show that the CESE solutions for the ITP and ZE phenomena are more accurate than those obtained using conventional first-order numerical schemes, which are characterized by serious numerical diffusion. Furthermore, the CESE method suppresses the numerical oscillations or peaks observed in the results obtained using second-order finite difference schemes. Finally, the results reveal that the CESE method accurately models the sharp boundaries between adjacent ITP samples under steady-state conditions. Overall, the results presented in this study demonstrate the numerical accuracy of the CESE method and confirm its applicability to the modeling of a range of electrophoretic phenomena.