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Basic equations for density current

机译：密度电流的基本公式

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Initiated by practical demands the research on density current was carried out in early time in such areas as hydraulic engineering, geology, navigation and environmental conservation. As a result, great achievements have been made during the past years. Previous study on density current was mainly of practical background; that is to say, the analysis of its production, motion as well as deposition was confined to empirical or experimental means, in which theoretical approach was relatively insufficient. The few theoretical methods usually dealt with simple patterns, such as flow in open channel with rectangular cross section and regular bottom, as shown in fig. 1. Such theoretical analyses and modeling are so simple that they cannot be used to illustrate deposition of density current in basin or its general motion, to say nothing of being theoretical basis for establishing mathematical model. Therefore, basic theory of density current is tentatively put forward in this note, in which 1-D and 2-D equations of treating its motion are derived from basic equations of fluid dynamics.
机译：出于实际需要，在水利工程，地质，航海和环境保护等领域进行了密度电流的早期研究。结果，在过去的几年中取得了巨大的成就。先前关于密度电流的研究主要是具有实践背景的。也就是说，对其产生，运动和沉积的分析仅限于经验或实验手段，而理论方法还相对不足。几种理论方法通常处理简单的模式，例如在具有矩形横截面和规则底部的明渠中流动，如图2所示。 1.这种理论分析和建模是如此简单，以至于不能用来说明盆地中密度流的沉积或其一般运动，更不用说是建立数学模型的理论基础了。因此，本文暂定提出了密度电流的基本理论，其中从流体动力学的基本方程式导出了处理其运动的一维和二维方程式。

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