### Abstract

In oceanographic situations where salt fingers may be an important mechanism for the transport of heat and salt in the vertical, velocity shears may also be present. Salt finger convection is analogous to Bénard convection in that the kinetic energy of the motions is obtained from the potential energy stored in the unstable distribution of a stratifying component. On the basis of the thermal analogy it is of interest to discover whether salt fingers are converted into two-dimensional sheets by the wind shear, and how the vertical fluxes of heat and salt are changed by the wind shear. Salt finger convection under the effect of steady wind shear is theoretically examined in this paper. The evolution of instability developing in the presence of a vertical density gradient disturbance and the horizontal Couette flow is considered near the onset of salt fingers under a moderate rate of shear. We use velocity as the basic variable and solve the pressure Poisson equation in terms of the associated Green function. Growth competition between the longitudinal rolls (LR) and the transverse rolls (TR), whose axes are respectively in the direction parallel to and perpendicular to the Couette flow, is investigated by the weakly nonlinear analysis of coupled-mode equations. The results show that the TR mode is characterized in some range of the effective Rayleigh number, and that the stability is dominated by the LR mode in the system.

Original language | English |
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Title of host publication | Proceedings of the 20th (2010) International Offshore and Polar Engineering Conference, ISOPE-2010 |

Pages | 980-985 |

Number of pages | 6 |

Publication status | Published - 2010 Sep 9 |

Event | 20th International Offshore and Polar Engineering Conference, ISOPE-2010 - Beijing, China Duration: 2010 Jun 20 → 2010 Jun 25 |

### Publication series

Name | Proceedings of the International Offshore and Polar Engineering Conference |
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Volume | 1 |

ISSN (Print) | 1098-6189 |

ISSN (Electronic) | 1555-1792 |

### Other

Other | 20th International Offshore and Polar Engineering Conference, ISOPE-2010 |
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Country | China |

City | Beijing |

Period | 10-06-20 → 10-06-25 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Energy Engineering and Power Technology
- Ocean Engineering
- Mechanical Engineering

### Cite this

*Proceedings of the 20th (2010) International Offshore and Polar Engineering Conference, ISOPE-2010*(pp. 980-985). (Proceedings of the International Offshore and Polar Engineering Conference; Vol. 1).

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*Proceedings of the 20th (2010) International Offshore and Polar Engineering Conference, ISOPE-2010.*Proceedings of the International Offshore and Polar Engineering Conference, vol. 1, pp. 980-985, 20th International Offshore and Polar Engineering Conference, ISOPE-2010, Beijing, China, 10-06-20.

**Salt finger convection under the effect of steady wind shear.** / Yang, Ray-Yeng; Hwung, Hwung Hweng.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Salt finger convection under the effect of steady wind shear

AU - Yang, Ray-Yeng

AU - Hwung, Hwung Hweng

PY - 2010/9/9

Y1 - 2010/9/9

N2 - In oceanographic situations where salt fingers may be an important mechanism for the transport of heat and salt in the vertical, velocity shears may also be present. Salt finger convection is analogous to Bénard convection in that the kinetic energy of the motions is obtained from the potential energy stored in the unstable distribution of a stratifying component. On the basis of the thermal analogy it is of interest to discover whether salt fingers are converted into two-dimensional sheets by the wind shear, and how the vertical fluxes of heat and salt are changed by the wind shear. Salt finger convection under the effect of steady wind shear is theoretically examined in this paper. The evolution of instability developing in the presence of a vertical density gradient disturbance and the horizontal Couette flow is considered near the onset of salt fingers under a moderate rate of shear. We use velocity as the basic variable and solve the pressure Poisson equation in terms of the associated Green function. Growth competition between the longitudinal rolls (LR) and the transverse rolls (TR), whose axes are respectively in the direction parallel to and perpendicular to the Couette flow, is investigated by the weakly nonlinear analysis of coupled-mode equations. The results show that the TR mode is characterized in some range of the effective Rayleigh number, and that the stability is dominated by the LR mode in the system.

AB - In oceanographic situations where salt fingers may be an important mechanism for the transport of heat and salt in the vertical, velocity shears may also be present. Salt finger convection is analogous to Bénard convection in that the kinetic energy of the motions is obtained from the potential energy stored in the unstable distribution of a stratifying component. On the basis of the thermal analogy it is of interest to discover whether salt fingers are converted into two-dimensional sheets by the wind shear, and how the vertical fluxes of heat and salt are changed by the wind shear. Salt finger convection under the effect of steady wind shear is theoretically examined in this paper. The evolution of instability developing in the presence of a vertical density gradient disturbance and the horizontal Couette flow is considered near the onset of salt fingers under a moderate rate of shear. We use velocity as the basic variable and solve the pressure Poisson equation in terms of the associated Green function. Growth competition between the longitudinal rolls (LR) and the transverse rolls (TR), whose axes are respectively in the direction parallel to and perpendicular to the Couette flow, is investigated by the weakly nonlinear analysis of coupled-mode equations. The results show that the TR mode is characterized in some range of the effective Rayleigh number, and that the stability is dominated by the LR mode in the system.

UR - http://www.scopus.com/inward/record.url?scp=77956297389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956297389&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77956297389

SN - 9781880653777

T3 - Proceedings of the International Offshore and Polar Engineering Conference

SP - 980

EP - 985

BT - Proceedings of the 20th (2010) International Offshore and Polar Engineering Conference, ISOPE-2010

ER -