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Reliable one dimensional 46-CPWTR model applied to two dimensional heat transfer problem of insulated triangular duct

机译：可靠的一维46-CPWTR模型应用于绝缘三角风管的二维传热问题

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摘要

In this study, the heat transfer characteristics of an insulated long triangular duct are analyzed by using the one dimensional plane wedge thermal resistance (PWTR) and plate thermal resistance (PTR) models. It is found that the errors produced by the PWTR model are all positive, but the errors produced by the PTR model are all negative. Thus, the combined plate wedge thermal resistance (CPWTR) model generated by paralleling PWTR and PTR models with the proportion factors of α = 0.4 vs. β = 0.6 (46-CPWTR model) is capable of neutralizing the positive and negative errors and returning very accurate results in comparison with the two dimensional numerical solutions analyzed by CFD software. The errors generated by the one dimensional 46-CPWTR model are within 1% for practical insulation thickness (t/R_2 < 0.5). In the rare situations of thicker insulation (0.5≦ t/R_2≦ 2), most of the errors returned by the one dimensional 55-CPWTR model are within 2%. Thus, engineers can obtain very reliable heat transfer results by applying the one dimensional 46-CPWTR or 55-CPWTR models to an insulated triangular duct. Meanwhile, the PTR model can still be used to estimate the highest surface temperature for a hot fluid duct or the lowest surface temperature for a cool fluid duct.
机译：在这项研究中，通过使用一维平面楔形热阻（PWTR）和板热阻（PTR）模型来分析隔热长三角管的传热特性。发现PWTR模型产生的误差均为正，而PTR模型产生的误差均为负。因此，将PWTR和PTR模型与α= 0.4 vs.β= 0.6的比例因子平行生成的组合楔形热阻（CPWTR）模型（46-CPWTR模型）可以抵消正误差和负误差，并且可以非常有效地返回与CFD软件分析的二维数值解相比，结果更准确。对于实际绝缘厚度（t / R_2 <0.5），一维46-CPWTR模型产生的误差在1％以内。在极少数的绝缘层较厚的情况下（0.5≤t /R_2≤2），一维55-CPWTR模型返回的大多数误差都在2％以内。因此，工程师可以通过将一维46-CPWTR或55-CPWTR模型应用于隔热三角管来获得非常可靠的传热结果。同时，PTR模型仍可用于估计热流体管道的最高表面温度或冷流体管道的最低表面温度。

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