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Convective Heat Transfer in MicroChannel of Noncircular Cross Sections: An Analytical Approach

机译：非圆形截面微通道中的对流传热：一种解析方法

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摘要

Analytical solutions are presented for velocity and temperature distributions of laminar fully developed flow of Newtonian, constant property fluids in micro/minichannels of hyperelliptical and regular polygonal cross sections. The considered geometries cover several common shapes such as ellipse, rectangle, rectangle with round corners, rhombus, star-shape, and all regular polygons. The analysis is carried out under the conditions of constant axial wall heat flux with uniform peripheral heat flux at a given cross section. A linear least squares point matching technique is used to minimize the residual between the actual and the predicted values on the boundary of the channel. Hydrody-namic and thermal characteristics of the flow are derived; these include pressure drop and local and average Nusselt numbers. The proposed results are successfully verified with existing analytical and numerical solutions from the literature for a variety of cross sections. The present study provides analytical-based compact solutions for velocity and temperature fields that are essential for basic designs, parametric studies, and optimization analyses required for many thermofluidic applications.
机译：提出了在超椭圆和规则多边形横截面的微/微通道中的牛顿，恒定特性流体的层流充分展开的层流的速度和温度分布的解析解。所考虑的几何形状涵盖了几种常见的形状，例如椭圆形，矩形，带有圆角的矩形，菱形，星形和所有规则的多边形。在给定横截面的恒定轴向壁热通量和均匀圆周热通量的条件下进行分析。线性最小二乘法点匹配技术用于最小化通道边界上的实际值和预测值之间的残差。得出了流体的水动力和热特性。这些包括压降以及局部和平均Nusselt数。所提出的结果已通过现有的分析和数值解决方案从文献中成功地验证了各种横截面。本研究为速度和温度场提供了基于分析的紧凑型解决方案，这对于基本设计，参数研究和许多热流体应用所需的优化分析是必不可少的。

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  • 来源
    《Journal of Heat Transfer》 |2012年第9期|p.091701.1-091701.10|共10页
  • 作者

    S. Shahsavari; A. Tamayol; E. Kjeang; M. Bahrami;

  • 作者单位

    Laboratory for Alternative Energy Conversion, Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC V3T 0A3, Canada;

    Laboratory for Alternative Energy Conversion, Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC V3T 0A3, Canada;

    Laboratory for Alternative Energy Conversion, Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC V3T 0A3, Canada;

    Laboratory for Alternative Energy Conversion, Mechatronic Systems Engineering, School of Engineering Science, Simon Fraser University, BC V3T 0A3, Canada;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    minilmicrochannels; fully developed flow; noncircular channels; forced; convection;

    机译：微型微通道;充分发展的流程;非圆形通道强迫对流;

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