Modeling the turbulent heat and momentum transfer in flows under different thermal conditions

Y. Nagano, H. Hattori, Ken-Ichi Abe

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.

Original languageEnglish
Pages (from-to)127-142
Number of pages16
JournalFluid Dynamics Research
Volume20
Issue number1-6
DOIs
Publication statusPublished - Feb 15 1997
Externally publishedYes

Fingerprint

turbulent heat transfer
Momentum transfer
momentum transfer
Heat transfer
Reynolds stress
turbulence models
data simulation
Shear flow
Turbulence models
shear flow
diffusivity
temperature
Hot Temperature
Temperature distribution
dissipation
velocity distribution
heat transfer
vortices
scalars
formulations

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

Cite this

Modeling the turbulent heat and momentum transfer in flows under different thermal conditions. / Nagano, Y.; Hattori, H.; Abe, Ken-Ichi.

In: Fluid Dynamics Research, Vol. 20, No. 1-6, 15.02.1997, p. 127-142.

Research output: Contribution to journalArticle

@article{c06c13955c6b48f69750f5eb2c86898e,
title = "Modeling the turbulent heat and momentum transfer in flows under different thermal conditions",
abstract = "Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.",
author = "Y. Nagano and H. Hattori and Ken-Ichi Abe",
year = "1997",
month = "2",
day = "15",
doi = "10.1016/S0169-5983(96)00049-4",
language = "English",
volume = "20",
pages = "127--142",
journal = "Fluid Dynamics Research",
issn = "0169-5983",
publisher = "IOP Publishing Ltd.",
number = "1-6",

}

TY - JOUR

T1 - Modeling the turbulent heat and momentum transfer in flows under different thermal conditions

AU - Nagano, Y.

AU - Hattori, H.

AU - Abe, Ken-Ichi

PY - 1997/2/15

Y1 - 1997/2/15

N2 - Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.

AB - Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.

UR - http://www.scopus.com/inward/record.url?scp=0043226789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043226789&partnerID=8YFLogxK

U2 - 10.1016/S0169-5983(96)00049-4

DO - 10.1016/S0169-5983(96)00049-4

M3 - Article

AN - SCOPUS:0043226789

VL - 20

SP - 127

EP - 142

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 1-6

ER -