# The inertial dynamics of thin film flow of non-Newtonian fluids

Article

*Physics Letters A.*372 (10), pp. 1607-1611. https://doi.org/10.1016/j.physleta.2007.10.014

Article Title | The inertial dynamics of thin film flow of non-Newtonian fluids |
---|---|

ERA Journal ID | 1023 |

Article Category | Article |

Authors | |

Author | Roberts, A. J. |

Journal Title | Physics Letters A |

Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics | |

Journal Citation | 372 (10), pp. 1607-1611 |

Number of Pages | 5 |

Year | 2008 |

Place of Publication | Netherlands |

ISSN | 0375-9601 |

1873-2429 | |

Digital Object Identifier (DOI) | https://doi.org/10.1016/j.physleta.2007.10.014 |

Web Address (URL) | http://www.elsevier.com/wps/find/journaldescription.cws_home/505705/description#description |

Abstract | Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case where the viscosity depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general nonlinear dependence. The modelling allows for large changes in film thickness provided the changes occur over a relatively large enough lateral length scale. Modifying the surface boundary condition for tangential stress forms an accessible foundation for the analysis where flow with constant shear is a neutral critical mode, in addition to a mode representing conservation of fluid. Perturbatively removing the modification then constructs a model for the coupled dynamics of the fluid depth and the lateral momentum. For example, the results model the dynamics of gravity currents of non-Newtonian fluids when the flow is not creeping. |

Keywords | thin fluid flow; non-Newtonian fluid; inertia; power law rheology |

ANZSRC Field of Research 2020 | 401212. Non-Newtonian fluid flows (incl. rheology) |

490409. Ordinary differential equations, difference equations and dynamical systems | |

401299. Fluid mechanics and thermal engineering not elsewhere classified | |

Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |

Byline Affiliations | Computational Engineering and Science Research Centre |

https://research.usq.edu.au/item/9y973/the-inertial-dynamics-of-thin-film-flow-of-non-newtonian-fluids

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