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**Numerical research on the coherent structure in the viscoelastic second-order mixing layers.**
*(English)*
Zbl 0918.76059

Summary: Numerical simulations are performed for time-developing plane mixing layers of viscoelastic second-order fluids by using the pseudospectral method. Roll-up, pairing and merging of large eddies are examined at high Reynolds numbers and low Deborah numbers. The effect of viscoelasticity on the evolution of large coherent structures is shown by making a comparison between the second-order and Newtonian fluids at the same Reynolds numbers.

### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

76A10 | Viscoelastic fluids |

65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |

### Keywords:

second-order fluids; pseudospectral method; pairing and merging of large eddies; effect of viscoelasticity
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\textit{Z. Yu} and \textit{J. Lin}, Appl. Math. Mech., Engl. Ed. 19, No. 8, 717--723 (1998; Zbl 0918.76059)

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### References:

[1] | C. M. Ho and P. Huerre, Perturbed free shear layers,Ann. Rev. Fluid Mech.,16 (1984), 365–424. |

[2] | M. M. Rogers and D. M. Robert, The three-dimensional evolution of a plane mixing layer: the Kelvin-Helmhotz rollup,J. Fluid Mech.,243 (1992), 183–226. · Zbl 0825.76311 |

[3] | A. Michalke, On the inviscid instability of the hyperboli-tangent velocity profile,J. Fluid Mech.,19 (1964), 543–556. · Zbl 0129.20302 |

[4] | Liu Jianzhong,Coherent Structures in Turbublent Flows, Mechanical Industrial Publishes, Beijing (1995). (in Chinese) |

[5] | M. Hibberd, M. Kwade and R. Scharf. Influence of drag reducing additives on the structure of turbulence in a mixing layer,Rheol. Acta,21, (1982), 582–586. |

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