Abstract The present paper investigates viscous heating effects on heat transfer characteristics of laminar Newtonian compressible channel flow. At first, incompressible Poiseuille flow case is addressed analytically by including viscous dissipation term in energy conservation equation. Temperature distributions in the channel cross-section and local Nusselt numbers are derived as functions of the Brinkman number, highlighting the role of the viscous term. The analysis is numerically supported by a set of CFD simulations. Additional CFD results are employed to extend the analysis to compressible flow case resulting in dedicated local Nusselt number correlations, function of Brinkman and Mach numbers, and expansion-altered temperature profiles. The study assumes no-slip flow and no temperature-jump boundary conditions at the channel wall (Knudsen number Kn 10 − 3 ), and addresses both fluid heating and cooling, both uniform heat flux (UHF) and uniform wall temperature (UWT) boundary condition (BC), and both circular (CR) and parallel-plate (PP) channel cross-section.

中文翻译：

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粘性热效应对层流可压缩通道流传热特性的影响

摘要 本文研究了粘性加热对层流牛顿可压缩通道流传热特性的影响。首先，通过在能量守恒方程中包含粘性耗散项来解析地解决不可压缩的泊肃叶流情况。通道横截面的温度分布和局部 Nusselt 数是作为 Brinkman 数的函数导出的，突出了粘性项的作用。该分析得到了一组 CFD 模拟的数值支持。额外的 CFD 结果用于将分析扩展到可压缩流动情况，从而产生专用的局部 Nusselt 数相关性、Brinkman 和马赫数的函数以及膨胀改变的温度曲线。