Modified Norris-Reynolds one-equation model

M.M. Rahman; A.K.M. Sadrul Islam; M.J. Lampinen; T. Siikonen

doi:10.1016/j.proeng.2015.05.110

Modified Norris-Reynolds one-equation model

M.M. Rahman, A.K.M. Sadrul Islam, M.J. Lampinen, T. Siikonen

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Abstract

A modified version of Norris–Reynolds (NR) k–equation turbulence model is proposed to account for the distinct effects of low– Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate E are evaluated using the k–transport equation in conjunction with the Bradshaw and other empirical relations. The eddy–viscosity formulation maintains the positivity of normal Reynolds stresses and preserves the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and non–equilibrium flows. The modified NR (MNR) model is validated against well–documented flow cases yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the MNR model offers some improvement over the original NR model and competitiveness with the Spalart–Allmaras one–equation model.

Original language	English
Pages (from-to)	276-286
Journal	Procedia Engineering
Volume	105
DOIs	https://doi.org/10.1016/j.proeng.2015.05.110
Publication status	Published - 2014
MoE publication type	A4 Conference publication
Event	Bangladesh Society of Mechanical Engineers International Conference on Thermal Engineering - Dhaka, Bangladesh Duration: 19 Dec 2014 → 21 Dec 2014 Conference number: 6

Keywords

k-equation model
length scale
realizability

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10.1016/j.proeng.2015.05.110

1-s2.0-S1877705815009078-mainFinal published version, 264 KBLicence: CC BY-NC-ND

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title = "Modified Norris-Reynolds one-equation model",

abstract = "A modified version of Norris–Reynolds (NR) k–equation turbulence model is proposed to account for the distinct effects of low– Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate E are evaluated using the k–transport equation in conjunction with the Bradshaw and other empirical relations. The eddy–viscosity formulation maintains the positivity of normal Reynolds stresses and preserves the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and non–equilibrium flows. The modified NR (MNR) model is validated against well–documented flow cases yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the MNR model offers some improvement over the original NR model and competitiveness with the Spalart–Allmaras one–equation model.",

keywords = "k-equation model, length scale, realizability, k-equation model, length scale, realizability, k-equation model, length scale, realizability",

author = "M.M. Rahman and {Sadrul Islam}, A.K.M. and M.J. Lampinen and T. Siikonen",

year = "2014",

doi = "10.1016/j.proeng.2015.05.110",

language = "English",

volume = "105",

pages = "276--286",

journal = "Procedia Engineering",

issn = "1877-7058",

publisher = "Elsevier",

note = "Bangladesh Society of Mechanical Engineers International Conference on Thermal Engineering, BSME ICTE ; Conference date: 19-12-2014 Through 21-12-2014",

}

TY - JOUR

T1 - Modified Norris-Reynolds one-equation model

AU - Rahman, M.M.

AU - Sadrul Islam, A.K.M.

AU - Lampinen, M.J.

AU - Siikonen, T.

N1 - Conference code: 6

PY - 2014

Y1 - 2014

N2 - A modified version of Norris–Reynolds (NR) k–equation turbulence model is proposed to account for the distinct effects of low– Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate E are evaluated using the k–transport equation in conjunction with the Bradshaw and other empirical relations. The eddy–viscosity formulation maintains the positivity of normal Reynolds stresses and preserves the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and non–equilibrium flows. The modified NR (MNR) model is validated against well–documented flow cases yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the MNR model offers some improvement over the original NR model and competitiveness with the Spalart–Allmaras one–equation model.

AB - A modified version of Norris–Reynolds (NR) k–equation turbulence model is proposed to account for the distinct effects of low– Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate E are evaluated using the k–transport equation in conjunction with the Bradshaw and other empirical relations. The eddy–viscosity formulation maintains the positivity of normal Reynolds stresses and preserves the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and non–equilibrium flows. The modified NR (MNR) model is validated against well–documented flow cases yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the MNR model offers some improvement over the original NR model and competitiveness with the Spalart–Allmaras one–equation model.

KW - k-equation model

KW - length scale

KW - realizability

KW - k-equation model

KW - length scale

KW - realizability

KW - k-equation model

KW - length scale

KW - realizability

U2 - 10.1016/j.proeng.2015.05.110

DO - 10.1016/j.proeng.2015.05.110

M3 - Conference article

SN - 1877-7058

VL - 105

SP - 276

EP - 286

JO - Procedia Engineering

JF - Procedia Engineering

T2 - Bangladesh Society of Mechanical Engineers International Conference on Thermal Engineering

Y2 - 19 December 2014 through 21 December 2014

ER -

Modified Norris-Reynolds one-equation model

Abstract

Keywords

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