Modification of the K-ε turbulence model for in-cylinder gas flow

Hiroyuki Kido; Kenshiro Nakashima; Hiroshi Tajima; Toshiaki Kitagawa

Modification of the K-ε turbulence model for in-cylinder gas flow

Hiroyuki Kido, Kenshiro Nakashima, Hiroshi Tajima, Toshiaki Kitagawa

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Abstract

A modification of the values of three constants C₁, C₂ and C₃ in the standard K-ε turbulence model is proposed, based on the empirical law of decay obtained for 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, followed by the C₁ and C₃ values, which depend on the C₂ value. The derived C₂ value of 1.40 is smaller than that in the standard K-ε turbulence model, but the C₁ value, 1.40 is close to that of the standard one. The C₃ value, -1.05, is very close to the recommended value by Morel et al. for the case of a unidirectional axial compression.

Original language	English
Pages (from-to)	85-90
Number of pages	6
Journal	JSME International Journal, Series B: Fluids and Thermal Engineering
Volume	32
Issue number	1
Publication status	Published - Feb 1989

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Physical and Theoretical Chemistry
Fluid Flow and Transfer Processes

Cite this

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abstract = "A modification of the values of three constants C1, C2 and C3 in the standard K-ε turbulence model is proposed, based on the empirical law of decay obtained for 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, followed by the C1 and C3 values, which depend on the C2 value. The derived C2 value of 1.40 is smaller than that in the standard K-ε turbulence model, but the C1 value, 1.40 is close to that of the standard one. The C3 value, -1.05, is very close to the recommended value by Morel et al. for the case of a unidirectional axial compression.",

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AU - Kido, Hiroyuki

AU - Nakashima, Kenshiro

AU - Tajima, Hiroshi

AU - Kitagawa, Toshiaki

PY - 1989/2

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AB - A modification of the values of three constants C1, C2 and C3 in the standard K-ε turbulence model is proposed, based on the empirical law of decay obtained for 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, followed by the C1 and C3 values, which depend on the C2 value. The derived C2 value of 1.40 is smaller than that in the standard K-ε turbulence model, but the C1 value, 1.40 is close to that of the standard one. The C3 value, -1.05, is very close to the recommended value by Morel et al. for the case of a unidirectional axial compression.

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Modification of the K-ε turbulence model for in-cylinder gas flow

Abstract

All Science Journal Classification (ASJC) codes

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