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首页> 外文期刊>Journal of Heat Transfer >Determination of Heat Transfer in Ducts With Axial Conduction by Variational Calculus
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Determination of Heat Transfer in Ducts With Axial Conduction by Variational Calculus

机译：用变分微积分确定轴传导管道中的热传递

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This study uses a methodology based on the calculus of variation to determine the heat transfer in passages with two-dimensional velocity fields such as rectangular channels and in the presence of axial conduction. The mathematical procedure is presented and the subsequent numerical computations provide the Nusselt number values. To verify the accuracy of this numerical procedure, the Nusselt number values are acquired for parallel-plate channels and circular pipes and compared with similar data from the Graetz-type exact analyses. Then, rectangular passages are selected to show the capability and a square duct is used to study the domain of accuracy for this procedure. The results for small Peclet numbers lead to a simple correlation for determination of the bulk temperature and they compare well with those obtained from an asymptotic solution.
机译：这项研究使用基于变化演算的方法来确定具有二维速度场（例如矩形通道）和存在轴向传导的通道中的传热。给出了数学过程，随后的数值计算提供了Nusselt值。为了验证此数值程序的准确性，获取了平行板通道和圆形管道的Nusselt值，并将其与Graetz型精确分析的相似数据进行了比较。然后，选择矩形通道以显示该功能，并使用方管来研究此过程的精度范围。小Peclet数的结果导致确定体温的简单相关性，并且与从渐近解中获得的结果进行了很好的比较。

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