### Abstract

A modification of the values of three constants C_{1}, C_{2} and C_{3} 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 C_{2} value is modified first, followed by the C_{1} and C_{3} values, which depend on the C_{2} value. The derived C_{2} value of 1.40 is smaller than that in the standard K-ε turbulence model, but the C_{1} value, 1.40 is close to that of the standard one. The C_{3} 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 |
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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 |

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### All Science Journal Classification (ASJC) codes

- Mechanical Engineering
- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry

### Cite this

*JSME International Journal, Series B: Fluids and Thermal Engineering*,

*32*(1), 85-90.

**Modification of the K-ε turbulence model for in-cylinder gas flow.** / Kido, Hiroyuki; Nakashima, Kenshiro; Tajima, Hiroshi; Kitagawa, Toshiaki.

Research output: Contribution to journal › Article

*JSME International Journal, Series B: Fluids and Thermal Engineering*, vol. 32, no. 1, pp. 85-90.

}

TY - JOUR

T1 - Modification of the K-ε turbulence model for in-cylinder gas flow

AU - Kido, Hiroyuki

AU - Nakashima, Kenshiro

AU - Tajima, Hiroshi

AU - Kitagawa, Toshiaki

PY - 1989/2

Y1 - 1989/2

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0024606063&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024606063&partnerID=8YFLogxK

M3 - Article

VL - 32

SP - 85

EP - 90

JO - JSME International Journal, Series B: Fluids and Thermal Engineering

JF - JSME International Journal, Series B: Fluids and Thermal Engineering

SN - 1340-8054

IS - 1

ER -