Abstract

A forced convective heat transfer problem inside a micropipe as well as inside a microchannel with parallel walls in the laminar gaseous slip flow regime, a with finite heating region and a prescribed wall heat flux, including the axial heat conduction effect, is analytically investigated. The temperature field and Nusselt number are derived under the assumption that the flow is hydrodynamically fully developed in the finite-length heating region. The solution is found by applying the functional analysis method, by decomposing the energy equation into a pair of first-order partial differential equations. The first-order slip boundary conditions are imposed at the gas–wall interface. The analytical solution is compared with available calculations. The results show that the thermal characteristics in the heating region are significantly affected by the axial heat conduction, rarefaction effects, and finite length of the heating region.

中文翻译：

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具有分段均匀壁热通量和轴热传导的微管和平行板微通道中的气态滑流强迫对流

摘要

分析地研究了微管内部以及层流气态滑流状态下具有平行壁的微通道内部的强制对流传热问题，其中有限的加热区域和规定的壁热通量，包括轴向热传导效应。温度场和Nusselt数是在流体在有限长度加热区域内充分流体动力学发展的前提下得出的。通过应用功能分析方法，将能量方程分解为一对一阶偏微分方程，可以找到解决方案。一阶滑移边界条件强加于气壁界面。将分析解决方案与可用计算进行比较。