### Abstract

The formation of a thermocline in a water column, where shear-free turbulence is generated from both the surface and the bottom, and a stabilizing buoyancy flux is imposed on the surface, was studied using a numerical model with the aim of understanding the formation of a tidal front in the coastal area. The time evolutions of the distributions of density and turbulent kinetic energy calculated from the model shows that the emergence of a thermocline depends on the conditions determined by the buoyancy flux at the surface Q, the eddy diffusivities maintained at the bottom and at the surface Kb and Ks and the height of the water column H. The criterion for the formation of a thermocline was predicted as Rδ4 ~ constant for large δ (δ > 0.5), but the dependence on δ decreases as δ tends to 0, where [formula omitted] is the depth of a thermocline in the absence of bottom mixing. The depth of a thermocline was found to decrease as the bottom mixing increases for a given value of D0. The results were interpreted in comparison with previous studies.

Original language | English |
---|---|

Pages (from-to) | 35-56 |

Number of pages | 22 |

Journal | Geophysical & Astrophysical Fluid Dynamics |

Volume | 72 |

Issue number | 1-4 |

DOIs | |

Publication status | Published - Nov 1 1993 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Computational Mechanics
- Astronomy and Astrophysics
- Geophysics
- Mechanics of Materials
- Geochemistry and Petrology

### Cite this

**A Numerical Model For The Onset Of Stratification In Shear-Free Turbulence.** / Noh, Y.

Research output: Contribution to journal › Article

*Geophysical & Astrophysical Fluid Dynamics*, vol. 72, no. 1-4, pp. 35-56. https://doi.org/10.1080/03091929308203606

}

TY - JOUR

T1 - A Numerical Model For The Onset Of Stratification In Shear-Free Turbulence

AU - Noh, Y.

PY - 1993/11/1

Y1 - 1993/11/1

N2 - The formation of a thermocline in a water column, where shear-free turbulence is generated from both the surface and the bottom, and a stabilizing buoyancy flux is imposed on the surface, was studied using a numerical model with the aim of understanding the formation of a tidal front in the coastal area. The time evolutions of the distributions of density and turbulent kinetic energy calculated from the model shows that the emergence of a thermocline depends on the conditions determined by the buoyancy flux at the surface Q, the eddy diffusivities maintained at the bottom and at the surface Kb and Ks and the height of the water column H. The criterion for the formation of a thermocline was predicted as Rδ4 ~ constant for large δ (δ > 0.5), but the dependence on δ decreases as δ tends to 0, where [formula omitted] is the depth of a thermocline in the absence of bottom mixing. The depth of a thermocline was found to decrease as the bottom mixing increases for a given value of D0. The results were interpreted in comparison with previous studies.

AB - The formation of a thermocline in a water column, where shear-free turbulence is generated from both the surface and the bottom, and a stabilizing buoyancy flux is imposed on the surface, was studied using a numerical model with the aim of understanding the formation of a tidal front in the coastal area. The time evolutions of the distributions of density and turbulent kinetic energy calculated from the model shows that the emergence of a thermocline depends on the conditions determined by the buoyancy flux at the surface Q, the eddy diffusivities maintained at the bottom and at the surface Kb and Ks and the height of the water column H. The criterion for the formation of a thermocline was predicted as Rδ4 ~ constant for large δ (δ > 0.5), but the dependence on δ decreases as δ tends to 0, where [formula omitted] is the depth of a thermocline in the absence of bottom mixing. The depth of a thermocline was found to decrease as the bottom mixing increases for a given value of D0. The results were interpreted in comparison with previous studies.

UR - http://www.scopus.com/inward/record.url?scp=0027790727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027790727&partnerID=8YFLogxK

U2 - 10.1080/03091929308203606

DO - 10.1080/03091929308203606

M3 - Article

AN - SCOPUS:0027790727

VL - 72

SP - 35

EP - 56

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

SN - 0309-1929

IS - 1-4

ER -