Stationary Oldroyd model with diffusive stress in thin pipes

Laurent Chupin; Andrei Ichim; Sébastien Martin

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Stationary Oldroyd model with diffusive stress in thin pipes

机译：与薄管的扩散压力的固定式oldroyd模型

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摘要

The aim of this paper is to study the stationary flow of an Oldroyd fluid with particular diffusive stress, flowing through a thin 3D pipe. An asymptotic expansion with respect to a small parameter describing the ratio between the diameter of the cross section and the length is calculated and rigorously justified. The result obtained is compared against a numerical solution in the particular case of axisymmetric geometries.

机译：本文的目的是研究旧式液体的固定流，特别是漫长的压力，流过薄的3D管道。关于描述横截面直径与长度之间的比率的小参数的渐近膨胀是计算和严格合理的。将得到的结果与轴对称几何形状的特定情况下的数值溶液进行比较。

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来源
《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2018年第1期|共26页
作者
Laurent Chupin; Andrei Ichim; Sébastien Martin;
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作者单位

Universite Blaise Pascal Departement de Mathematiques et Informatique Aubiere 63177 France;

Universite Blaise Pascal Departement de Mathematiques et Informatique Aubiere 63177 France;

Université Paris Descartes MAP5 (CNRS UMR 8145) 45 rue des Saints-Pères 75270 Paris cedex 06 France;

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原文格式 PDF
正文语种 eng
中图分类应用数学;力学;
关键词
Oldroyd model; thin pipes; asymptotic expansion; axisymmetric geometry;

机译：Oldroyd模型;薄管;渐近扩张;轴对称几何;

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专利

1. Stationary Oldroyd model with diffusive stress in thin pipes [J] . Laurent Chupin, Andrei Ichim, Sébastien Martin Zeitschrift fur Angewandte Mathematik und Mechanik . 2018,第1期

机译：与薄管的扩散压力的固定式oldroyd模型
2. Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress [J] . Peter Constantin, Markus Kliegl Archive for Rational Mechanics and Analysis . 2012,第3期

机译：关于具有扩散应力的二维Oldroyd-B流体的整体规律性的说明
3. From the Phan-Thien-Tanner/Oldroyd-B Non-Newtonian Model to the Double Shear Thining Rabinowisch Thin Film Model [J] . Guy Bayada, Laurent Chupin, Sebastien Martin Journal of Tribology . 2011,第3期

机译：从Phan-Thien-Tanner / Oldroyd-B非牛顿模型到双剪切稀化Rabinowitsch薄膜模型
4. Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models [C] . FERNANDO CARAPAU, ADELIA SEQUEIRA IASME/WSEAS International Conference on Energy and Environmental Systems . 2007

机译：使用1D型号的均匀直线管道中的Ordroyd-B流体的不稳定流动
5. Diffuse interface model for microstructural evolution of stressed, binary thin films on patterned substrates. [D] . Wise, Steven Matthew. 2003

机译：扩散界面模型，用于在图案化基材上形成应力二元薄膜的微观结构。
6. Array CGH data modeling and smoothing in Stationary Wavelet Packet Transform domain [O] . Heng Huang, Nha Nguyen, Soontorn Oraintara, 2008

机译：固定小波包变换域中的阵列CGH数据建模和平滑
7. Stationary Oldroyd model with diffusive stress in thin pipes [O] . Chupin, Laurent, Ichim, Andrei, Martin, Sébastien 2017

机译：细管中具有扩散应力的平稳Oldroyd模型
8. Two-phase power-law modeling of pipe flows displaying shear-thinning phenomena [R] . Ding, J., Lyczkowski, R. W., Sha, W. T. 1993

机译：显示剪切稀化现象的管道流的两相幂律模型

Stationary Oldroyd model with diffusive stress in thin pipes

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