对连续流式电泳简化数学模型的研究

STUDIES OF SIMPLIFIED NUMERICAL MODEL IN CONTINUOUS FLOW ELECTROPHORESIS

用有限分析法对连续流式电泳的电流体力学过程进行了三维数值模拟。数值结果表明，Ｐｏｌｅｚｈａｅｖ（［１，２］）等人提出的电泳简化数学模型在处理重力条件下有回流问题时，所得结果与三维准确方程的计算结果严重不符。因此该模型不能用于重力有回流问题。为了克服上述缺陷，在解析分析的基础上，文章提出了一个新的电泳问题简化数学模型。数值计算显示，该模型所得结果与三维准确方程的计算结果十分吻合。

n this paper used the finite-analytic method to solve the threedlmenslonal eletrohydrodynamlcal equations. The results show that Polezhaev’s simplified numerical model Is not correct when there exist reverse flow zones under the normal gravity environment.In order to tackle the shortcoming of Polezhaev’s model,a new slmplified numerical model is Proposed in the Paper,which can be used under both microgravity and normal gravity environments. The numerical results are favorable compared with the results obtained from three dimensional model.