Stationary Oldroyd model with diffusive stress in thin pipes

Abstract : 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.
Complete list of metadatas

Cited literature [11 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01456091
Contributor : Sébastien Martin <>
Submitted on : Friday, February 3, 2017 - 10:56:59 PM
Last modification on : Friday, September 20, 2019 - 4:34:03 PM
Long-term archiving on: Friday, May 5, 2017 - 1:39:54 PM

File

CIM17.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01456091, version 1

Citation

Laurent Chupin, Andrei Ichim, Sébastien Martin. Stationary Oldroyd model with diffusive stress in thin pipes. 2017. ⟨hal-01456091⟩

Share

Metrics

Record views

261

Files downloads

200