### Abstract

Travelling-wave similarity solutions are obtained for three-dimensional unsteady gravity-driven flow of a thin film of Newtonian fluid around a moving symmetric slender dry patch on an inclined plane.

Original language | English |
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Title of host publication | Progress in Industrial Mathematics at ECMI 2010 |

Subtitle of host publication | Proceedings of the 16th European Conference on Mathematics for Industry (ECMI 2010) |

Publisher | Springer |

Pages | 441-447 |

Number of pages | 8 |

Volume | 17 |

Edition | 5 |

ISBN (Print) | 978-3-642-25099-6 |

DOIs | |

Publication status | Published - 2012 |

### Publication series

Name | Springer Mathematics in Industry Series |
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Publisher | Springer |

### Keywords

- circuit and electromagnetic device simulation
- dynamical systems
- differential equations
- travelling-wave solutions

## Cite this

Yatim, Y. M., Wilson, S. K., & Duffy, B. R. (2012). Travelling-wave similarity solutions for an unsteady gravity-driven dry patch. In

*Progress in Industrial Mathematics at ECMI 2010: Proceedings of the 16th European Conference on Mathematics for Industry (ECMI 2010)*(5 ed., Vol. 17, pp. 441-447). (Springer Mathematics in Industry Series). Springer. https://doi.org/10.1007/978-3-642-25100-9_50