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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >Exact Closure Procedures of Hierarchical VAT Capillary Thermo-Convective Problem for Turbulent and Laminar Regimes
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Exact Closure Procedures of Hierarchical VAT Capillary Thermo-Convective Problem for Turbulent and Laminar Regimes

机译：湍流和层流状态下分层增值税毛细热对流问题的精确封闭程序

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摘要

Volume Averaging Theory (VAT), an effective and rigorous approach for study of transport (laminar and turbulent) phenomena, is used to model flow and heat transfer in porous media. The modeling is based on a simple pore level network. The primary difficulties in applying VAT to straight capillary networks, the many unknown integral and differential terms that are needed for closure, are overcome. VAT based modeling of pore level transport in straight capillaries results in two sets of scale governing equations. One scale is the upper scale VAT equations which describe ensemble properties for flow and heat transfer in porous media. The other scale is the lower scale laminar and turbulent transport equations that represent flow and heat transport in each straight pore capillary. It is how the unknown VAT terms in the upper scale equations can be estimated using the relationships between upper scale properties and lower scale properties. Exact closures and mathematical procedures are developed for the turbulent regime, extending the previous laminar regime work. Numerical results for turbulent and laminar transport in straight capillary porous media are shown in this paper.
机译：体积平均理论（VAT）是一种用于研究传输（层流和湍流）现象的有效且严格的方法，用于对多孔介质中的流动和热传递进行建模。建模基于简单的孔隙水平网络。克服了将VAT应用于直毛细管网络的主要困难，封闭所需的许多未知积分和微分项。基于VAT的直毛细管中孔隙水平传输的建模产生了两组比例控制方程。一种尺度是高阶VAT方程，它描述了多孔介质中流动和热传递的整体性质。另一个尺度是较低尺度的层流和湍流传输方程，代表每个直孔毛细管中的流动和热传输。这样，可以使用较高级别属性和较低级别属性之间的关系来估算较高级别方程式中的未知增值税项。为湍流状态开发了精确的闭合和数学程序，从而扩展了以前的层流状态工作。本文显示了在直线毛细管多孔介质中湍流和层流传输的数值结果。

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