论多相流中单流体模型与多流体模型的统一性

Unification of Multi-Fluid Model and Single-Fluid Model in Multi-Phase Flow

本刊发表的“多相流的随体导数和基本方程”,一文认为对多相流的随体导数必须重新研究、定义,以使单流体模型和多流体模型能获得统一,并提出了一套建立随体导数的方法。本文作者认为[1]文的分析不仅在概念上有许多混淆之处,而且所提出的随体导数有些牵强附会,缺乏明确的物理意义,结果并没有使单流体模型和多流体模型真正统一。本文就随体导数的本来含义进行推导、分析,指出单流体模型和多流体模型的统一性。

The intention of this paper is to clarify the concept of substantial derivative of multi-phase flow which is confused in paper [1] listed in Refernces and to indicate adequate means to unify the multi-fluid model and the single-fluid model. It is pointed out that si ace different fluid elements are traced while applying substantial derivatives to mixed fluid and to it's components, we must be very careful in defining the mixed fluid's stress, internal energy and heat flux. A set of definitions of the quantities similar to that in the kinematic theory of gas-mixture [2-4] has been dedueed. In this way, the traditional substantial derivative is defendened and the conversion of the multi-fluid model to the single-fluid model is justified.