Barenblatt’s hypothesis of incomplete similarity is applied to the turbulent viscosity in a turbulent liquid film flowing under combined action of gravity and gas flow friction. Velocity profile and film thickness are obtained in a closed analytical form. The solution is valid for co-current and counter-current flows.

中文翻译：

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湍流液膜流的工程模型

Barenblatt 的不完全相似假设适用于在重力和气流摩擦的共同作用下流动的湍流液膜中的湍流粘度。速度分布和薄膜厚度以封闭分析形式获得。该解决方案适用于并流和逆流流动。