Document Type

Article

Publication Date

8-2006

Publication Title

Physics of Fluids

Volume

18

Issue

8

First page number:

083103-1

Last page number:

083103-17

Abstract

Fully developed viscoelastic flows in rotating curved pipes with circular cross section are investigated theoretically and numerically employing the Oldroyd-B fluid model. Based on Dean’s approximation, a perturbation solution up to the secondary order is obtained. The governing equations are also solved numerically by the finite volume method. The theoretical and numerical solutions agree with each other very well. The results indicate that the rotation, as well as the curvature and elasticity, plays an important role in affecting the friction factor, the secondary flow pattern and intensity. The co-rotation enhances effects of curvature and elasticity on the secondary flow. For the counter-rotation, there is a critical rotational number RΩ, which can make the effect of rotation counteract the effect of curvature and elasticity. Complicated flow behaviors are found at this value. For the relative creeping flow, RΩ can be estimated according to the expression RΩ=−4We[1]. Effects of curvature and elasticity at different rotational numbers on both relative creeping flow and inertial flow are also analyzed and discussed.

Keywords

Curvature; Elasticity; Fluid dynamics; Rotational motion; Viscoelastic materials

Disciplines

Fluid Dynamics | Mechanical Engineering

Language

English

Permissions

Copyright AIP Publishing used with permission

Identifier

DOI: 10.1063/1.2336454

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