# Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids

Technical report

*Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids .*University of Southern Queensland.

Title | Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids |
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Report Type | Technical report |

Authors | |

Author | Roberts, A. J. |

Institution of Origin | University of Southern Queensland |

Number of Pages | 27 |

Year | 2007 |

Publisher | University of Southern Queensland |

Abstract | Consider the evolution of a thin layer of non-Newtonian fluid. I model the case of a nonlinear viscosity that depends only upon the shear-rate; power law fluids are an important example, but the analysis is for general nonlinear dependence upon the shear-rate. The modelling allows for large changes in film thickness provided the changes occur over a large enough lateral length scale. The modelling is based on two macroscopic modes by fudging the spectrum: here fiddle the surface boundary condition for tangential stress so that, as well as a mode representing conservation of fluid, the lateral shear flow u ∝ y is a neutral critical mode. Thus the resultant model describes the dynamics of gravity currents of non-Newtonian fluids when their flow is not very slow. For an introduction I first report on an analogous case of nonlinear diffusive dissipation. |

Keywords | thin film flow |

ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |

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

401213. Turbulent flows | |

Byline Affiliations | Computational Engineering and Science Research Centre |

https://research.usq.edu.au/item/9y082/computer-algebra-models-the-inertial-dynamics-of-a-thin-film-flow-of-power-law-fluids-and-other-non-newtonian-fluids

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