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首页> 外文期刊>International Journal of Heat and Mass Transfer >Mass transfer through laminar boundary layer in microchannels with nonuniform cross section : The effect of wall shape and curvature
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Mass transfer through laminar boundary layer in microchannels with nonuniform cross section : The effect of wall shape and curvature

机译：在横截面不均匀的微通道中通过层流边界层的传质：壁形状和曲率的影响

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摘要

This paper provides an analytical solution for the combined diffusive and convective mass transport from a surface film of arbitrary shape at a given uniform concentration to a pure solvent flowing in the creeping regime through microchannels. This problem arises e.g. in the study of swelling and dissolution of polymeric thin films under the tangential flow of solvent, modeling the oral thin film dissolution for drug release towards the buccal mucosa or oral cavity. We present a similarity solution for mass transfer in laminar forced convection. The classical boundary layer solution of the Graetz-Nusselt problem, valid for straight channels or pipes, is generalized to a microchannel with rectangular cross-section varying continuously along the axial coordinate. Close to the curved releasing boundary h_s(s), parametrized by a curvilinear abscissa s, both the tangential υ_t(r,s) and the normal velocity υ_n(r,s) components play a role in the dissolution process, and their scaling behavior as a function of wall normal distance r should be taken into account for an accurate description of the concentration profile in the boundary layer. An analytic expression for the local Sherwood number as a function of the curvilinear abscissa and the Peclet number is presented.
机译：本文提供了一种分析解决方案，用于从给定均匀浓度的任意形状的表面膜到通过微通道在蠕变状态中流动的纯溶剂进行扩散和对流的复合传输。例如，出现此问题。在聚合物薄膜在切线溶剂流下的溶胀和溶解研究中，对口腔薄膜的溶出进行了建模，以了解药物向颊粘膜或口腔的释放。我们提出了在层流强迫对流中传质的相似解决方案。对于直线通道或管道有效的Graetz-Nusselt问题的经典边界层解决方案被推广为具有矩形横截面的微通道，该截面沿轴向坐标连续变化。接近曲线释放边界h_s（s）（由曲线横坐标s参数化），切向υ_t（r，s）和法向速度υ_n（r，s）都在溶解过程中起作用，并且它们的缩放行为为了准确描述边界层中的浓度分布，应考虑作为壁法线距离r的函数。给出了根据曲线横坐标和Peclet数的局部Sherwood数的解析表达式。

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