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首页> 外文期刊>Journal of Thermophysics and Heat Transfer >Stokes Flow Induced by a Sliding Smooth Plate over a Finned Plate
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Stokes Flow Induced by a Sliding Smooth Plate over a Finned Plate

机译：鳍板上方的滑动光滑板引起的斯托克斯流

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摘要

Slow viscous flow between a sliding smooth plate and a finned plate is investigated in the Stokes limit. Theoretical solutions are obtained for unidirectional flow along the fin. An exact analogy is noted between the present Stokes flow and the heat conduction under the same geometry. Conformal mapping is displayed to secure closed-form solutions to the case of single fin. For periodically spaced fins the eigenfunction expansion technique is utilized to describe the flow details. The explicit effects of the fin height and of the fin spacing on global flow patterns are elucidated. To gauge the increase in drag and heat transfer caused by the fin spacing, the concepts of fin-interaction parameter and characteristic length scales are introduced. The theoretical predictions and full-dress numerical solutions are shown to be highly consistent. Criteria for enhanced conductive heat transfer in microsystems are suggested.
机译：在斯托克斯极限条件下研究了滑动光滑板与翅片板之间的缓慢粘性流动。沿翅片的单向流动获得了理论解。在相同几何形状下，当前斯托克斯流与热传导之间有一个精确的类比。显示共形映射以确保单鳍情况下封闭形式的解决方案。对于周期性间隔的鳍片，本征函数扩展技术用于描述流的细节。阐明了翅片高度和翅片间距对整体流动模式的显着影响。为了测量由鳍片间距引起的阻力和热传递的增加，引入了鳍片相互作用参数和特征长度标度的概念。理论上的预测和全数值解被证明是高度一致的。建议在微系统中增强传导热传递的标准。

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