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Effect of Slip Flow on Heat Transfer: Numerical Analysis

机译:滑流对传热的影响:数值分析

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This paper presents numerical analysis that investigates the effect a slip boundary condition has on heat transfer. Multiple researchers have shown that superhydrophobic surfaces, those with a contact angle greater than 150° and contact angle hysteresis less than 5°, have demonstrated drag reduction for both laminar and turbulent flow on the order of 20% to 50% and slip lengths up to SO times larger than the feature length. This effort seeks to take a first step into understanding the effect that slip has on heat transfer. A 2-D parallel plate setup was evaluated. The velocity profile was analytically solved and used to determine the thermal profile using the Crank-Nicolson finite difference approach. The numerical results reveal that increasing the slip length improves heat transfer for a (h) 1.3 cm × (L) 15.2 cm parallel plate configuration. In addition, the temperature difference decays exponentially with Reynolds number, and a maximum temperature difference of 3.78 K between the no slip and 2 mm slip boundary conditions occurs at a Reynolds number of 90.
机译:本文提供了数值分析,研究了滑移边界条件对传热的影响。多个研究人员表明,超疏水表面(接触角大于150°且接触角滞后小于5°的表面)已证明层流和湍流的阻力减小了大约20%至50%,滑移长度最大为SO倍于特征长度。这项工作旨在迈出第一步,以了解滑移对传热的影响。评估了二维平行板设置。解析了速度曲线,并使用Crank-Nicolson有限差分法确定了温度曲线。数值结果表明,对于(h)1.3 cm×(L)15.2 cm平行板构型,增加滑移长度可改善热传递。此外,温度差随雷诺数呈指数衰减,并且在无滑移边界条件和2 mm滑移边界条件之间出现3.78 K的最大温差,这是在雷诺数为90的情况下发生的。

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