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首页> 外文期刊>International Journal of Heat and Mass Transfer >First and second law analysis of fully developed gaseous slip flow in trapezoidal silicon microchannels considering viscous dissipation effect
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First and second law analysis of fully developed gaseous slip flow in trapezoidal silicon microchannels considering viscous dissipation effect

机译：考虑粘性耗散效应的梯形硅微通道中充分发展的气态滑流的第一定律和第二定律分析

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摘要

Fully developed gaseous slip flow in trapezoidal silicon microchannels is studied. Friction factor, Nusselt number and entropy generation in the microchannel is obtained, effect of rarefaction, aspect ratio and viscous dissipation is explored and, the range of Brinkman number in which viscous dissipation effect is important and cannot be neglected is specified. The continuum approach with the velocity slip and temperature jump condition at the solid walls is applied to develop the mathematical model of problem in the trapezoidal microchannel. Transformation of trapezoidal geometry to a square provided ease of application of finite difference method in solution of the mathematical model. The effect of viscous dissipation is quantified by Brinkman number. The calculated Brinkman number for common engineering applications even with limiting operational and geometric conditions is found less than 0.005. It is observed that viscous effect for applications with Brinkman number less than 0.005 can be neglected. The region in which viscous dissipation effect cannot be neglected is specified as Br > 0.005. Decreasing effect of rarefaction and increasing effect of Brinkman number on irreversibility due to all sources, excluded axial conduction, is established. The dominant source of irreversibility in total irreversibility is specified as a function of Brinkman number.
机译：研究了梯形硅微通道中充分发展的气态滑流。获得了微通道中的摩擦因数，努塞尔数和熵的产生，探讨了稀疏度，长宽比和粘性耗散的影响，并指定了粘性耗散作用重要且不可忽略的布林克曼数的范围。应用在固体壁上具有速度滑移和温度跃变条件的连续方法来开发梯形微通道中问题的数学模型。梯形几何到正方形的转换为有限差分法在数学模型求解中的应用提供了便利。粘性耗散的影响通过布林克曼数来量化。发现即使在有限的操作和几何条件下，对于常见工程应用的计算出的布林克曼数也小于0.005。观察到，对于布林克曼数小于0.005的应用，可以忽略粘性作用。不能忽略粘性耗散效果的区域指定为Br> 0.005。建立了稀疏性的降低作用和Brinkman数对所有来源（轴向传导除外）引起的不可逆性的增加作用。总不可逆性中不可逆性的主要来源被指定为Brinkman数的函数。

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