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首页> 外文期刊>Journal of Heat Transfer >Fully-Developed Thermal Transport in Combined Pressure and Electro-Osmotically Driven Flow in MicroChannels
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Fully-Developed Thermal Transport in Combined Pressure and Electro-Osmotically Driven Flow in MicroChannels

机译：充分开发的微通道中压力和电渗流联合流动的热传输

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摘要

Thermally fully-developed heat transfer has been analyzed for combined electro-osmotic and pressure driven flow in a circular microtube. The two classical thermal boundary conditions of constant wall heat flux and constant wall temperature were considered. Such a flow is established by the combination of an imposed pressure gradient and voltage potential gradient along the length of the tube. The induced flow rate and velocity profile are functions of the imposed potential gradient, electro-osmotic mobility of the fluid, the ratio of the duct radius to the Debye length, the established streamwise pressure gradient, and the fluid viscosity. The imposed voltage gradient results in Joule heating in the fluid, with an associated distributed volumetric source of energy. For this scenario, the solution for the fully developed, dimensionless temperature profile and corresponding Nusselt number have been determined. The fully-developed Nusselt number is found to depend on the duct radius/Debye length ratio (termed the relative duct radius), the dimensionless volumetric source, and a dimensionless parameter that characterizes the relative strengths of the two driving mechanisms. This parameter can take on both positive and negative values, depending on the signs of the streamwise voltage and pressure gradients imposed. Analytical results are presented and discussed for a range of the governing dimensionless parameters.
机译：对于圆形微管中结合的电渗流和压力驱动流，已经对热充分发展的传热进行了分析。考虑了恒定壁热通量和恒定壁温的两个经典热边界条件。通过沿管的长度施加的压力梯度和电压电势梯度的组合来建立这种流动。感应的流速和速度曲线是施加的电势梯度，流体的电渗迁移率，导管半径与Debye长度的比率，建立的沿流方向的压力梯度以及流体粘度的函数。施加的电压梯度会导致流体中的焦耳热以及相关的分布式体积能源。对于这种情况，已经确定了完全开发的无量纲温度曲线和相应的Nusselt数的解决方案。发现充分发展的努塞尔数取决于风管半径/德拜长度比（称为相对风管半径），无量纲的体积源和表征两个驱动机构相对强度的无量纲参数。该参数可以取正值也可以取负值，具体取决于流向电压和施加的压力梯度的符号。给出并讨论了一系列控制无量纲参数的分析结果。

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