Fully developed electro-osmotic heat transfer in microchannels

Fully developed electro-osmotic heat transfer in microchannels
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DOI:
10.1016/s0017-9310(02)00423-4
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发表时间:
2003-04
影响因子:
5.2
通讯作者:
Daniel Maynes;B. W. Webb
Daniel Maynes;B. W. Webb
中科院分区:
工程技术2区
文献类型:
--
作者:
Daniel Maynes;B. W. Webb

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本文分析了平行平板微通道和圆形微管道在恒定壁面热流和恒定壁面温度边界条件下,热充分发展的电致对流输运。这种流动不是由施加的压力梯度建立的,而是由沿管的长度沿着的电压电位梯度建立的。其结果是独特的电渗速度分布和体积加热的流体中由于施加的电压梯度的组合。完全开发的,无量纲的温度分布和相应的Nusselt数的精确解已被确定为两种几何形状和热边界条件的分析。充分发展的温度分布和努塞尔数被发现依赖于相对管道半径(德拜长度比管道半径或板间隙半宽)和无量纲体积源的大小。
Thermally fully developed, electro-osmotically generated convective transport has been analyzed for a parallel plate microchannel and circular microtube under imposed constant wall heat flux and constant wall temperature boundary conditions. Such a flow is established not by an imposed pressure gradient, but by a voltage potential gradient along the length of the tube. The result is a combination of unique electro-osmotic velocity profiles and volumetric heating in the fluid due to the imposed voltage gradient. The exact solution for the fully developed, dimensionless temperature profile and corresponding Nusselt number have been determined analytically for both geometries and both thermal boundary conditions. The fully developed temperature profiles and Nusselt number are found to depend on the relative duct radius (ratio of the Debye length to duct radius or plate gap half-width) and the magnitude of the dimensionless volumetric source.