## Abstract

In a rotating fluid, the flow between two infinite plates, perpendicular to the rotation axis, is examined when a uniform stream is aligned with a finite flat plate, parallel to the rotation axis. Since the flow in this configuration is depth-independent the motion is analogous to that considered by Blasius in a non-rotating fluid. When the Rossby number Ro is much smaller than E^{3/4}, where E is the Ekman number, the equations are linear and the flow has been examined by Hocking [5]. However, when Ro≫E^{3/4} inertial effects are important in the E^{1/4}-layer and the boundary-layer equations are non-linear. For Ro of order E^{1/2} the boundary-layer flow is calculated numerically and very close to both the leading and trailing edges of the plate the flow is identical to that in the non-rotating case. Goldstein expansions are calculated at both points and the singularity at the trailing edge is examined using triple-deck theory. This demonstrates that for Ro of order E^{1/2} the E^{1/4}-layer exhibits behaviour similar to that of a classical boundary layer.

Original language | English |
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Pages (from-to) | 191-202 |

Number of pages | 12 |

Journal | Journal of Engineering Mathematics |

Volume | 17 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Jun 1983 |

Externally published | Yes |