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Thermal Analysis of Power-Law Fluid Flow in a Circular MicroChannel

机译:圆形微通道中幂律流体流动的热分析

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The steady-state fully developed laminar flow of non-Newtonian power-law fluids is analytically studied in a circular microchannel under an imposed uniform and constant wall heat flux. Increasing the flow behavior index results in broadening the dimensionless temperature distribution, i.e., in enlarging the wall and bulk fluid temperature difference. Similar behavior may also be observed when heating or cooling flux is reduced. For any particular value of the flow behavior index, a critical Brinkman number exists in which the bulk mean fluid temperature equals the wall temperature; in this special case of surface cooling, the Nusselt number tends to infinity. Dilatants (shear-thickening fluids) demonstrate more tangible reactions than pseudoplastics (shear-thinning fluids) to changes in the Brinkman number. Entropy generation increases with the flow behavior index as well as the Brinkman number. For shear-thickening fluids, the entropy generation rate from heat transfer is more than the entropy generation rate from fluid friction, while an opposite trend is observed for shear-thinning fluids.
机译:在施加均匀且恒定的壁热通量的情况下,在圆形微通道中对非牛顿幂律流体的稳态充分发展的层流进行了分析研究。流动行为指数的增加导致无量纲温度分布的扩大,即,增大了壁和本体流体的温差。当减少加热或冷却通量时,也可以观察到类似的行为。对于任何特定的流动行为指数值,都存在一个临界Brinkman数,其中体均流体温度等于壁温;在这种表面冷却的特殊情况下,Nusselt数趋于无穷大。对于Brinkman数的变化,膨胀剂(增粘剪切液)显示出比假塑性(增粘剪切液)更明显的反应。熵的产生随着流动行为指数以及布林克曼数的增加而增加。对于增稠剪切流体,来自热传递的熵产生速率大于由流体摩擦产生的熵产生速率,而对于剪切稀化流体,则观察到相反的趋势。

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