Tome, M.F. and Castelo, A. and Ferreira, V.G. and McKee, S. (2008) *A finite difference technique for solving the oldroyd-b model for 3d-unsteady free surface flows.* Journal of Non-Newtonian Fluid Mechanics, 154 (2-3). pp. 179-206. ISSN 0377-0257

## Abstract

This work presents a numerical method for solving three-dimensional (3D) viscoelastic unsteady free surface flows governed by the Oldroyd-B constitutive equation. It is an extension of the two-dimensional (2D) technique introduced by Tomé et al. [M.F. Tomé, N. Mangiavacchi, J.A. Cuminato, A. Castelo, S. McKee, A numerical technique for solving unsteady viscoelastic free surface flows, J. Non-Newt. Fluid Mech. 106 (2002) 61-106]. The governing equations are solved by a finite difference method on a 3D-staggered grid. Marker particles are employed to describe the fluid providing both visualization and the location of the free surface. The numerical technique is validated by using an exact solution of the flow of an Oldroyd-B fluid inside a 3D-pipe. Numerical results include the simulation of the transient extrudate swell and jet buckling.

Item type: | Article |
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ID code: | 19486 |

Keywords: | Oldroyd-B, viscoelastic flow, finite difference, marker-and-cell, free surface, Mathematics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 09 Jun 2010 14:39 |

Last modified: | 05 Sep 2014 02:41 |

URI: | http://strathprints.strath.ac.uk/id/eprint/19486 |

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