A modified K-ɛ. Turbulence model for in-cylinder gas flow

Hiroyuki Kido; Kenshiro Nakashima; Hiroshi Tajima; Toshiaki Kitagawa

doi:10.1299/kikaib.53.2648

A modified K-ɛ. Turbulence model for in-cylinder gas flow

Hiroyuki Kido, Kenshiro Nakashima, Hiroshi Tajima, Toshiaki Kitagawa

Research output: Contribution to journal › Article › peer-review

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Abstract

A modification of the values of three constants C₁, C₂ and C₃ in the standard K-ɛ turbulence model is proposed, based on the experimentally obtained decay law of nearly homogeneous in-cylinder turbulence. Since the decay exponent of Reynolds numbers for in-cylinder turbulence is found to be different from that for steady ducted flow just behind a turbulence generating grid, the C₂ value is modified first. Then C₁ and C₃ values are modified, because they depend on the C₂ value. The derived C₂ value of 1.40 is smaller than that in the standard K-ɛ turbulence model, but the C₁ value of 1.40 is close to that of the standard one and the C₃ value of -1.05 is very close to the recommended value for the case of unidirectional axial compression by Morel et al.

Original language	English
Pages (from-to)	2648-2653
Number of pages	6
Journal	Transactions of the Japan Society of Mechanical Engineers Series B
Volume	53
Issue number	492
DOIs	https://doi.org/10.1299/kikaib.53.2648
Publication status	Published - 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering

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10.1299/kikaib.53.2648

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title = "A modified K-ɛ. Turbulence model for in-cylinder gas flow",

abstract = "A modification of the values of three constants C1, C2 and C3 in the standard K-ɛ turbulence model is proposed, based on the experimentally obtained decay law of nearly homogeneous in-cylinder turbulence. Since the decay exponent of Reynolds numbers for in-cylinder turbulence is found to be different from that for steady ducted flow just behind a turbulence generating grid, the C2 value is modified first. Then C1 and C3 values are modified, because they depend on the C2 value. The derived C2 value of 1.40 is smaller than that in the standard K-ɛ turbulence model, but the C1 value of 1.40 is close to that of the standard one and the C3 value of -1.05 is very close to the recommended value for the case of unidirectional axial compression by Morel et al.",

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T1 - A modified K-ɛ. Turbulence model for in-cylinder gas flow

AU - Kido, Hiroyuki

AU - Nakashima, Kenshiro

AU - Tajima, Hiroshi

AU - Kitagawa, Toshiaki

PY - 1987

Y1 - 1987

N2 - A modification of the values of three constants C1, C2 and C3 in the standard K-ɛ turbulence model is proposed, based on the experimentally obtained decay law of nearly homogeneous in-cylinder turbulence. Since the decay exponent of Reynolds numbers for in-cylinder turbulence is found to be different from that for steady ducted flow just behind a turbulence generating grid, the C2 value is modified first. Then C1 and C3 values are modified, because they depend on the C2 value. The derived C2 value of 1.40 is smaller than that in the standard K-ɛ turbulence model, but the C1 value of 1.40 is close to that of the standard one and the C3 value of -1.05 is very close to the recommended value for the case of unidirectional axial compression by Morel et al.

AB - A modification of the values of three constants C1, C2 and C3 in the standard K-ɛ turbulence model is proposed, based on the experimentally obtained decay law of nearly homogeneous in-cylinder turbulence. Since the decay exponent of Reynolds numbers for in-cylinder turbulence is found to be different from that for steady ducted flow just behind a turbulence generating grid, the C2 value is modified first. Then C1 and C3 values are modified, because they depend on the C2 value. The derived C2 value of 1.40 is smaller than that in the standard K-ɛ turbulence model, but the C1 value of 1.40 is close to that of the standard one and the C3 value of -1.05 is very close to the recommended value for the case of unidirectional axial compression by Morel et al.

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A modified K-ɛ. Turbulence model for in-cylinder gas flow

Abstract

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