二重管内層流熱伝達の数値解

田中 貢; 三石 信雄

doi:10.1252/kakoronbunshu1953.37.820

Numerical Solution of Laminar Heat Transfer in Concentric Annuli

Mitsugu Tanaka, Nobuo Mitsuishi

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JOURNAL FREE ACCESS

1973 Volume 37 Issue 8 Pages 820-826,a1

DOI https://doi.org/10.1252/kakoronbunshu1953.37.820

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Published: August 05, 1973 Received: January 05, 1973 Available on J-STAGE: October 07, 2010 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 07, 2010 Reason for correction: - Correction: ABSTRACT Details: Wrong : The numerical solution of heat transfer to Newtonian fluids in Laminar flow in concentric annuli was obtained under the conditions of a constant temperature inner wall and an insulated outer wall, taking into account the temperature-dependency of viscosity and density. The solution was compared with the ana'ytical soluticn based on the extended Leveque method which had been previously obtained by the authors. As a result it was found that, in the case of a great temperature-dependency of physical ProPerties, the accuracy of the extended Leveque method's solution concerning annuli was less satisfactory than that concerning tubes. Therefore the numerical solution was presented as plots of mean Nusselt number vs. Graetz number with diameter ratio r, viscosity ratio μ_ω/υ₀ and Gr_ω/Re_ω as parameters. The numerical solution was in good agreement with the experimental data for two different diameter ratios κ.
Right : The numerical solution of heat transfer to Newtonian fluids in Laminar flow in concentric annuli was obtained under the conditions of a constant temperature inner wall and an insulated outer wall, taking into account the temperature-dependency of viscosity and density. The solution was compared with the ana'ytical solution based on the extended Leveque method which had been previously obtained by the authors. As a result it was found that, in the case of a great temperature-dependency of physical properties, the accuracy of the extended Leveque method's solution concerning annuli was less satisfactory than that concerning tubes. Therefore the numerical solution was presented as plots of mean Nusselt number vs. Graetz number with diameter ratio r, viscosity ratio μ_ω/μ₀ and Gr_ω/Re_ω as parameters. The numerical solution was in good agreement with the experimental data for two different diameter ratios κ.

Date of correction: October 07, 2010 Reason for correction: - Correction: PDF FILE Details: -

Abstract

The numerical solution of heat transfer to Newtonian fluids in Laminar flow in concentric annuli was obtained under the conditions of a constant temperature inner wall and an insulated outer wall, taking into account the temperature-dependency of viscosity and density. The solution was compared with the ana'ytical solution based on the extended Leveque method which had been previously obtained by the authors. As a result it was found that, in the case of a great temperature-dependency of physical properties, the accuracy of the extended Leveque method's solution concerning annuli was less satisfactory than that concerning tubes. Therefore the numerical solution was presented as plots of mean Nusselt number vs. Graetz number with diameter ratio r, viscosity ratio μ_ω/μ₀ and Gr_ω/Re_ω as parameters. The numerical solution was in good agreement with the experimental data for two different diameter ratios κ.

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