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

King Leung Wong, Wen-Lih Chen, Jung Che Tsai, Ting Hsiang Lu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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/R2 < 0.5). In the rare situations of thicker insulation (0.5 ≦ t/R2 ≦ 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.

Original languageEnglish
Pages (from-to)3135-3145
Number of pages11
JournalEnergy Conversion and Management
Volume48
Issue number12
DOIs
Publication statusPublished - 2007 Dec 1

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Heat resistance
Ducts
Heat transfer
Insulation
Fluids
Computational fluid dynamics
Engineers

All Science Journal Classification (ASJC) codes

  • Renewable Energy, Sustainability and the Environment
  • Nuclear Energy and Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology

Cite this

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title = "Reliable one dimensional 46-CPWTR model applied to two dimensional heat transfer problem of insulated triangular duct",
abstract = "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/R2 < 0.5). In the rare situations of thicker insulation (0.5 ≦ t/R2 ≦ 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.",
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Reliable one dimensional 46-CPWTR model applied to two dimensional heat transfer problem of insulated triangular duct. / Wong, King Leung; Chen, Wen-Lih; Tsai, Jung Che; Lu, Ting Hsiang.

In: Energy Conversion and Management, Vol. 48, No. 12, 01.12.2007, p. 3135-3145.

Research output: Contribution to journalArticle

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AB - 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/R2 < 0.5). In the rare situations of thicker insulation (0.5 ≦ t/R2 ≦ 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.

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