Turbulent temperature profile in the quasi-fully developed region of a micro-tube

Turbulent temperature profiles in the quasi-fully developed region of a micro-tube were obtained numerically by solving the energy equation including the substantial derivative of pressure and viscous dissipation terms for the case of constant wall temperature. The fluid was assumed to be an ideal g...

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Main Authors: Yutaka ASAKO, Chungpyo HONG
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2017-05-01
Series:Journal of Thermal Science and Technology
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jtst/12/1/12_2017jtst0010/_pdf/-char/en
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author Yutaka ASAKO
Chungpyo HONG
author_facet Yutaka ASAKO
Chungpyo HONG
author_sort Yutaka ASAKO
collection DOAJ
description Turbulent temperature profiles in the quasi-fully developed region of a micro-tube were obtained numerically by solving the energy equation including the substantial derivative of pressure and viscous dissipation terms for the case of constant wall temperature. The fluid was assumed to be an ideal gas with constant density over the cross-section. The turbulent velocity profile was approximated by the three-layer model of Von Kármán. The temperature profiles were compared with the laminar flow and previous numerical solutions. The total temperature was higher than the wall temperature depending on the Mach number. The static temperature in the quasi-fully developed region agrees well with the temperature results for an ideal gas flow obtained by solving the Navier-Stokes and energy equations.
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spelling doaj.art-1b7d5ce0f27c46c5b78da29530cee9c52022-12-21T21:11:23ZengThe Japan Society of Mechanical EngineersJournal of Thermal Science and Technology1880-55662017-05-01121JTST0010JTST001010.1299/jtst.2017jtst0010jtstTurbulent temperature profile in the quasi-fully developed region of a micro-tubeYutaka ASAKO0Chungpyo HONG1Department of Mechanical Precision Engineering Malaysia-Japan International Institute of Technology University Technology MalaysiaDepartment of Mechanical Engineering, Kagoshima UniversityTurbulent temperature profiles in the quasi-fully developed region of a micro-tube were obtained numerically by solving the energy equation including the substantial derivative of pressure and viscous dissipation terms for the case of constant wall temperature. The fluid was assumed to be an ideal gas with constant density over the cross-section. The turbulent velocity profile was approximated by the three-layer model of Von Kármán. The temperature profiles were compared with the laminar flow and previous numerical solutions. The total temperature was higher than the wall temperature depending on the Mach number. The static temperature in the quasi-fully developed region agrees well with the temperature results for an ideal gas flow obtained by solving the Navier-Stokes and energy equations.https://www.jstage.jst.go.jp/article/jtst/12/1/12_2017jtst0010/_pdf/-char/entemperature profileturbulent flowquasi-developed regionenergy equationviscous dissipationsubstantial derivative of pressure
spellingShingle Yutaka ASAKO
Chungpyo HONG
Turbulent temperature profile in the quasi-fully developed region of a micro-tube
Journal of Thermal Science and Technology
temperature profile
turbulent flow
quasi-developed region
energy equation
viscous dissipation
substantial derivative of pressure
title Turbulent temperature profile in the quasi-fully developed region of a micro-tube
title_full Turbulent temperature profile in the quasi-fully developed region of a micro-tube
title_fullStr Turbulent temperature profile in the quasi-fully developed region of a micro-tube
title_full_unstemmed Turbulent temperature profile in the quasi-fully developed region of a micro-tube
title_short Turbulent temperature profile in the quasi-fully developed region of a micro-tube
title_sort turbulent temperature profile in the quasi fully developed region of a micro tube
topic temperature profile
turbulent flow
quasi-developed region
energy equation
viscous dissipation
substantial derivative of pressure
url https://www.jstage.jst.go.jp/article/jtst/12/1/12_2017jtst0010/_pdf/-char/en
work_keys_str_mv AT yutakaasako turbulenttemperatureprofileinthequasifullydevelopedregionofamicrotube
AT chungpyohong turbulenttemperatureprofileinthequasifullydevelopedregionofamicrotube