用薄层模型求解离心机流场的端盖边界条件

End Cap Boundary Conditions for Solution of Flow Field in Gas Centrifuge by Using Pancake Model

  • 摘要: 文章分析用Onsager的薄层模型研究离心机中流场时,端盖边界条件的不同对流场求解的影响。端盖边界条件可有两种形式,一种由分析端盖上水平Ekman边界层得到(称为原始形式),另一种由对原始形式求导后得到(称为导数形式)。目前使用的是导数形式。然而,求导运算损失了原始形式边界条件中包含的部分信息,并复杂化了边界条件。在端盖上分别有热驱动、供取料情况下,分别对流场进行求解来分析两种形式边界条件的差别。结果表明,使用不同形式的边界条件所得流场总体上不同,为避免导数形式中的信息损失,建议使用原始形式。

     

    Abstract: The effects of the forms for the end cap boundary conditions were discussed in the solution of the flow field of a gas centrifuge by using the Onsager’s pancake model. The end cap boundary conditions have two forms, one of which is formulated from the analysis of the horizontal Ekman boundary layers on an end cap (referred to as the original form), and another is derived from differentiating the original form (referred to as the derivative form). The form currently in use is the latter. However, the differentiation operation results in the loss of information in the boundary conditions of the original form, and the complication of the conditions. In the cases of thermal drive and end cap feed, the differences were analyzed in the flow fields obtained by using the two forms of boundary conditions. The results show that, in general, the flow fields are different when using different forms. To avoid loss of information in the derivative form, the use of the original form is recommended.

     

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