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首页> 外文会议>ASME/JSME thermal engineering joint conference;AJTEC2011 >Analysis of Laminar Slip-Flow Thermal Transport in Microchannels with Transverse Rib and Cavity Structured Superhydrophobic Walls at Constant Heat Flux
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Analysis of Laminar Slip-Flow Thermal Transport in Microchannels with Transverse Rib and Cavity Structured Superhydrophobic Walls at Constant Heat Flux

机译：恒热通量下具有横肋和腔结构超疏水壁的微通道层流滑流热传递分析

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This paper presents an analytical investigation of the thermally developing and periodically fully-developed flow in a parallel-plate channel comprised of superhydrophobic walls. The superhydrophobic walls considered in this paper exhibit alternating micro-ribs and cavities positioned perpendicular to the flow direction and the transport scenario analyzed is that of constant wall heat flux through the rib surfaces with negligible thermal transport through the vapor cavity interface. Axial conduction is neglected in the analysis and the problem is one of Graetz flow with apparent slip-flow and periodicity of constant heating. Closed form solutions for the local Nusselt number and wall temperature are presented and are in the form of infinite series expansions. Previously it has been shown that significant reductions in the overall frictional pressure drop can be expected relative to the classical smooth channel laminar flow. The present results reveal that the overall thermal transport is markedly influenced by the relative cavity region (cavity fraction), the relative rib/cavity module width, and the flow Peclet number. The following conclusions can be made regarding thermal transport for a constant heat flux channel exhibiting the superhydrophobic surfaces considered: 1) Increases in the cavity fraction lead to decreases in the average Nusselt number; 2) Increasing the relative rib/cavity module length yields a decrease in the average Nusselt number; and 3) as the Peclet number increases the average Nusselt number increases. For all parameters explored, the limiting upper bound on the fully-developed average Nusselt number corresponds to the limiting case scenario of classical laminar flow through a smooth-walled channel with constant heat flux.
机译：本文对由超疏水壁组成的平行板通道中的热发展和周期性充分发展的流动进行了分析研究。本文中所考虑的超疏水性壁表现出交替的微肋和垂直于流向定位的空腔，并且所分析的传输方案是通过肋表面的恒定壁热通量和通过蒸气腔界面的可忽略的热传递。分析中忽略了轴向传导，问题是具有明显滑移流和恒定加热周期的Graetz流之一。给出了局部Nusselt数和壁温的闭合形式解，并以无穷级数展开的形式给出。先前已经表明，相对于经典的光滑通道层流，总摩擦压降的降低是可以预期的。目前的结果表明，总的热传输显着地受到相对腔区域（腔分数），相对肋/腔模块宽度和流量Peclet数的影响。对于具有所考虑的超疏水表面的恒定热通量通道的热传输，可以得出以下结论：1）腔分数的增加导致平均Nusselt数的减少; 2）增加相对的肋骨/型腔模块长度会导致平均Nusselt数减少; 3）随着Peclet数的增加，平均Nusselt数也增加。对于所有探索的参数，完全发达的平均Nusselt数的极限上限对应于经典层流流经具有恒定热通量的光滑壁通道的极限情况。

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