A Lagrangian finite element method for the simulation of flow of non-newtonian liquids
Ole Hassager,C Bisgaard +1 more
Reads0
Chats0
TLDR
In this paper, a Lagrangian method for the simulation of flow of non-Newtonian liquids is implemented, where fluid mechanical equations are formulated in the form of a variational principle, and a discretization is performed by finite elements.Abstract:
A Lagrangian method for the simulation of flow of non-Newtonian liquids is implemented. The fluid mechanical equations are formulated in the form of a variational principle, and a discretization is performed by finite elements. The method is applied to the slow of a contravariant convected Maxwell liquid around a sphere moving axially in a cylinder. The simulations show that the friction factor for a sphere in a narrow cylinder is a rapidly decreasing function of the Deborah number, while the friction factor for a sphere in a very wide cylinder is not significantly affected by fluid elasticity. It is demostrated that the simulated wall effect on the motion of the sphere may be utilized in an experimental identification of a time constant for a given liquid.read more
Citations
More filters
Journal ArticleDOI
On the high weissenberg number problem
TL;DR: In this paper, the existence of a critical value of the Weissenberg number beyond which no discrete solutions can be obtained is addressed. But the limit points of the discrete solution families are responsible for the loss of convergence of the iterative scheme.
Journal ArticleDOI
An algorithm for the simulation of transient viscoelastic flows with free surfaces
TL;DR: In this paper, a numerical procedure for solving a class of transient viscoelastic flows with free surfaces is proposed based on a Galerkin/Finite Element technique on deforming elements combined with a predictor-corrector scheme.
Journal ArticleDOI
Velocity fields around spheres and bubbles investigated by laser-doppler anemometry
TL;DR: In this paper, an experimental investigation is presented in which the velocity fields around sheres and bubbles moving in a cylinder have been measured by laser-Doppler anemometry (LDA), and it is shown that the wall correction factor K is a rapidly decreasing function of the Deborah number.
Journal ArticleDOI
An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free-surface flow
Poul Bach,Ole Hassager +1 more
TL;DR: In this article, an algorithm for the use of the Lagrangian kinematic specification in Newtonian fluid mechanics is presented, implemented with a finite-element method, and it is demonstrated that the method accurately describes free-surface flow, including the effects of surface tension, with use of bilinear isoparametric elements.
Journal ArticleDOI
Finite element analysis of steady viscoelastic flow around a sphere in a tube: calculations with constant viscosity models
TL;DR: In this article, the inertialess flow of a viscoelastic fluid around a sphere falling in a cylindrical tube is computed using finite element analysis (FEA).
References
More filters
Journal ArticleDOI
Die simultane Translations- und Rotationsbewegung einer Kugel in einer elastoviskosen Flüssigkeit
TL;DR: In this paper, the Messung von Kraft and Moment bei der simultanen Translations-and Rotationsbewegung einer Kugel in einer allgemeinen inkompressiblen elastoviskosen Flussigkeit is discussed.
Journal ArticleDOI
The slow flow of a visco-elastic liquid past a sphere
Frank M. Leslie,R. I. Tanner +1 more
Journal ArticleDOI
Velocity fields around spheres and bubbles investigated by laser-doppler anemometry
TL;DR: In this paper, an experimental investigation is presented in which the velocity fields around sheres and bubbles moving in a cylinder have been measured by laser-Doppler anemometry (LDA), and it is shown that the wall correction factor K is a rapidly decreasing function of the Deborah number.
Journal ArticleDOI
Effect of finite boundaries on the slow laminar isothermal flow of a viscoelastic fluid around a spherical obstacle
D. Sigli,Madeleine Coutanceau +1 more
TL;DR: In this article, an experimental investigation of the laminar isothermal flow of moderately concentrated polymers (polyethylene oxide) around a spherical obstacle, which moves along the axis of a cylinder at low Reynolds number, is carried out.
Journal ArticleDOI
The unsteady motion of a sphere in an elastico-viscous liquid
TL;DR: In this paper, the Laplace transform was used to determine the velocities of a sphere moving under a constant force in elastico-viscous liquid, the sphere being initially at rest.