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首页> 外文期刊>Journal of Heat Transfer >Exact Solution of Electroviscous Flow and Heat Transfer in a Semi-annular Microcapillary
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Exact Solution of Electroviscous Flow and Heat Transfer in a Semi-annular Microcapillary

机译：半环形微毛细管中电粘性流动和传热的精确解

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The electro-osmotic flow (EOF) and associated heat transfer are investigated in a semi-annular microcapillary. The potential, velocity, and temperature fields are solved by analytic approaches including the eigenfunction expansion and the Green's function methods. By selecting the potential sign of each surface of the channel, the bulk fluid may flow in two opposite directions. Effects of the key parameters governing the problem are examined. The mass flow rate increases when the hydraulic diameter is increased or the electrokinetic radius is decreased. The results reveal that surface cooling and/or surface heating (of the inner or outer walls) strongly affects the fluid temperature distributions as well as the position of the maximum/minimum temperature region inside the domain; the latter indicates temperature gradients in fluid. Also, higher thermal scale ratio leads to broaden the temperature distribution. Depending on the value of the geometric radius ratio (and for all values of the thermal scale ratio), the fully developed Nusselt number approaches a specific value as the electrokinetic radius tends to infinity.
机译：在半环形微毛细管中研究了电渗流（EOF）和相关的热传递。通过分析方法（包括本征函数展开和格林函数方法）来求解势场，速度场和温度场。通过选择通道的每个表面的电势符号，散装流体可以在两个相反的方向上流动。研究了控制该问题的关键参数的效果。当增加水力直径或减小电动半径时，质量流量增加。结果表明，（内壁或外壁的）表面冷却和/或表面加热强烈影响流体温度分布以及畴内最高/最低温度区域的位置。后者表示流体中的温度梯度。此外，较高的热垢比例会导致温度分布变宽。取决于几何半径比的值（以及热标度比的所有值），随着电动半径趋于无穷大，充分发展的Nusselt数接近特定值。

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