### Samenvatting

This paper investigates the stability of solutions to the problem of viscous flow between an infinite rotating disk and an infinite stationary disk. A random perturbation, satisfying the Von Kármán similarity transformation, is applied to the steady velocity profiles for four solution branches, after which the disturbance propagation is tracked as a function of time. It was found that three of the four solution branches (including the Batchelor solution) were Lyapunov-stable and the development of the Lyapunov-coefficients as a function of the Reynolds number was determined. Stewartson-type of flow was found to be unstable and developed into a flow field corresponding to the Batchelor-solution. The mechanism with which the non-viscous core in this latter type of flow acquired its angular momentum was identified as being dominated by radial convection towards the axis of rotation.

Originele taal-2 | Engels |
---|---|

Artikelnummer | 073602 |

Pagina's (van-tot) | 073602-1/13 |

Aantal pagina's | 13 |

Tijdschrift | Physics of Fluids |

Volume | 25 |

Nummer van het tijdschrift | 7 |

DOI's | |

Status | Gepubliceerd - 2013 |

## Vingerafdruk Duik in de onderzoeksthema's van 'Lyapunov-stability of solution branches of rotating disk flow'. Samen vormen ze een unieke vingerafdruk.

## Citeer dit

Eeten, van, K. M. P., Schaaf, van der, J., Heijst, van, G. J. F., & Schouten, J. C. (2013). Lyapunov-stability of solution branches of rotating disk flow.

*Physics of Fluids*,*25*(7), 073602-1/13. [073602]. https://doi.org/10.1063/1.4812704