## Abstract

The diffusion of a line vortex embedded in a radially inward axisymmetric stagnation point flow for a second grade fluid is considered. This flow is the diffusion of a line vortex for a second grade fluid when a stagnation point flow is superimposed. The velocity field is in the form of υ_{r} = -αr, υ_{θ} = υ(r, t), υ_{z} = 2αz, where r, θ, z are cylindrical polar coordinates and α is a constant related to the inward flow. An exact solution of the governing equation is given. It is found that for small values of the time the solution approaches the diffusion of a line vortex in a second grade fluid and for large values of the time the solution tends to the flow of a line vortex in a second grade fluid embedded in a radially inward axisymmetric stagnation point flow.

Original language | English |
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Pages (from-to) | 1257-1264 |

Number of pages | 8 |

Journal | International Journal of Engineering Science |

Volume | 43 |

Issue number | 15-16 |

DOIs | |

Publication status | Published - Oct 2005 |

## Keywords

- Line vortex
- Non-Newtonian fluid
- Second grade fluid
- Stagnation point flow
- Three-dimensional vortex