### Abstract

Language | English |
---|---|

Journal | Physics of Fluids |

Volume | 17 |

Issue number | 10 |

DOIs | |

Publication status | Published - 17 Oct 2005 |

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### Keywords

- shear flow
- lubrication
- flow instability
- pattern formation
- fluid physics

### Cite this

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**Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface.** / Wilson, S.K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface

AU - Wilson, S.K.

PY - 2005/10/17

Y1 - 2005/10/17

N2 - We use the lubrication approximation to analyze the steady unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform longitudinal shear stress at its free surface. In particular, we determine the quasisteady stability of a rivulet of prescribed flux, and calculate when it is energetically favorable for a rivulet to split into two narrower rivulets.

AB - We use the lubrication approximation to analyze the steady unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform longitudinal shear stress at its free surface. In particular, we determine the quasisteady stability of a rivulet of prescribed flux, and calculate when it is energetically favorable for a rivulet to split into two narrower rivulets.

KW - shear flow

KW - lubrication

KW - flow instability

KW - pattern formation

KW - fluid physics

U2 - 10.1063/1.2100987

DO - 10.1063/1.2100987

M3 - Article

VL - 17

JO - Physics of Fluids

T2 - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 10

ER -