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Analytical Solution of Fluid Flow in Channels with Partially Filled Porous Medium 部分填充多孔介质通道内流体流动的解析解
本文用解析方法研究了壁面部分填充多孔介质的通道内不可压缩完全发展的层流粘性定常流动。本文提出了一个新的数学模型,以更好地理解热管中各种类型芯吸材料的行为以及热系统中的强化传热。此外,该模型还可用于优化主要能源消耗部门的基本能源利用。研究了达西数、多孔层厚度和孔隙率等因素的影响。 守恒方程的建模和求解提供了两个区域的速度和剪应力分布。结果表明,在恒定的压力梯度下,多孔层中的速度分布近似为线性。剪切应力取决于孔隙厚度,对于大达西数具有非单调行为。如果达西数减少,这种趋势可以变成单调函数。引文:2016年3月14日至16日在科威特召开的第六届国际能源研究与开发会议
A steady incompressible fully developed laminar viscous flow is investigated analytically in a channel partially filled with a porous medium attached to the wall. A new mathematical model is presented to better understand the behavior of various types of wicking materials in heat pipes and enhancement heat transfer in thermal systems. Also, the model can be used to optimize the utilization of basic energy resources in the major energy consuming sectors. The effects of Darcy number, thickness of porous layer and porosity are investigated. The modeling and solution of the conservation equations provide velocity and shear stress distribution in two domains. The results show that under a constant pressure gradient, the velocity profile in the porous layer is nearly linear. The shear stress depends on the porous thickness and has a non-monotonic behavior for large Darcy numbers. This trend can be changed to a monotonic function if the Darcy numbers is decreased.
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