### Abstract

The instabilities of the sidewall boundary layer in a rapidly rotating split cylinder are studied numerically. Axisymmetric results are studied extensively where a variety of different states are found. In the basic state, the interior flow is in solid-body rotation with the mean rotation rate of the two cylinder halves. The sidewall boundary layer of the basic state is compared with theoretical results. For sufficiently fast mean rotation and large enough differential rotation between the two halves, instabilities in the boundary layer appear. These instabilities result in periodic and quasi-periodic states in different parameter regimes. The instabilities are localized in the boundary layer, but they may transport shear into interior if their associated frequencies are less than twice the mean rotation frequency, and then only in the form of inertial wave beams along directions determined by the frequencies.

Original language | English (US) |
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Title of host publication | Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014 |

Publisher | Australasian Fluid Mechanics Society |

ISBN (Print) | 9780646596952 |

State | Published - 2014 |

Event | 19th Australasian Fluid Mechanics Conference, AFMC 2014 - Melbourne, Australia Duration: Dec 8 2014 → Dec 11 2014 |

### Other

Other | 19th Australasian Fluid Mechanics Conference, AFMC 2014 |
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Country | Australia |

City | Melbourne |

Period | 12/8/14 → 12/11/14 |

### Fingerprint

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

*Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014*Australasian Fluid Mechanics Society.

**Instabilities of the sidewall boundary layer in a rapidly rotating split cylinder.** / Lopez, Juan; Gutierrez, P.

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

*Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014.*Australasian Fluid Mechanics Society, 19th Australasian Fluid Mechanics Conference, AFMC 2014, Melbourne, Australia, 12/8/14.

}

TY - GEN

T1 - Instabilities of the sidewall boundary layer in a rapidly rotating split cylinder

AU - Lopez, Juan

AU - Gutierrez, P.

PY - 2014

Y1 - 2014

N2 - The instabilities of the sidewall boundary layer in a rapidly rotating split cylinder are studied numerically. Axisymmetric results are studied extensively where a variety of different states are found. In the basic state, the interior flow is in solid-body rotation with the mean rotation rate of the two cylinder halves. The sidewall boundary layer of the basic state is compared with theoretical results. For sufficiently fast mean rotation and large enough differential rotation between the two halves, instabilities in the boundary layer appear. These instabilities result in periodic and quasi-periodic states in different parameter regimes. The instabilities are localized in the boundary layer, but they may transport shear into interior if their associated frequencies are less than twice the mean rotation frequency, and then only in the form of inertial wave beams along directions determined by the frequencies.

AB - The instabilities of the sidewall boundary layer in a rapidly rotating split cylinder are studied numerically. Axisymmetric results are studied extensively where a variety of different states are found. In the basic state, the interior flow is in solid-body rotation with the mean rotation rate of the two cylinder halves. The sidewall boundary layer of the basic state is compared with theoretical results. For sufficiently fast mean rotation and large enough differential rotation between the two halves, instabilities in the boundary layer appear. These instabilities result in periodic and quasi-periodic states in different parameter regimes. The instabilities are localized in the boundary layer, but they may transport shear into interior if their associated frequencies are less than twice the mean rotation frequency, and then only in the form of inertial wave beams along directions determined by the frequencies.

UR - http://www.scopus.com/inward/record.url?scp=84959140262&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959140262&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84959140262

SN - 9780646596952

BT - Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014

PB - Australasian Fluid Mechanics Society

ER -