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Joule heating effects in electroosmotically driven microchannel flows

机译:电渗驱动微通道流中的焦耳热效应

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摘要

Analytical solutions for temperature distributions, heat transfer coefficients, and Nusselt numbers of steady elec-troosmotic flows are obtained for two-dimensional straight microchannels. This analysis is based on an infinitesimal electric double layer in which flow velocity becomes "plug-like", except very close to the wall. Both constant surface temperature and constant surface heat flux conditions are considered in this study. Separation of variables technique is applied to obtain analytical solutions of temperature distributions from the energy equation of electroosmotically driven flows. The thermal analysis considers interaction among inertial, diffusive and Joule heating terms in order to obtain thermally developing behavior of electroosmotic flows. Heat transfer characteristics are presented for low Reynolds number microflows where the viscous and electric field terms are very dominant. For the parameter range studied here (Re ≤ 0.7), the Nusselt number is independent of the thermal Peclet number, except in the thermally developing region. Analytical results for cases with and without Joule heating are also compared with the existing heat transfer results, and an excellent agreement is obtained between them.
机译:对于二维直线微通道,获得了稳态电渗流的温度分布,传热系数和Nusselt数的解析解。该分析基于一个极小的双电层,其中除了非常靠近壁外,其流速都变为“塞状”。本研究考虑了恒定的表面温度和恒定的表面热通量条件。应用变量分离技术从电渗驱动流的能量方程中获得温度分布的解析解。热分析考虑了惯性,扩散和焦耳加热项之间的相互作用,以获得电渗流的热发展行为。给出了低雷诺数微流的传热特性,其中粘性和电场是非常重要的。对于此处研究的参数范围(Re≤0.7),除了在热显影区域外,努塞尔特数与热佩克雷特数无关。还对具有和不具有焦耳加热情况的分析结果与现有的传热结果进行了比较,并且在它们之间获得了极好的一致性。

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