Next Article in Journal
Refractive Index Change Produced by the Electro-Optical Effect in LiTaO3
Previous Article in Journal
Comparing Artificial Neural Networks (ANN) Image Compression Technique with Different Image Compression Techniques
Article Menu

Article Versions

Export Article

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
Open AccessArticle
Math. Comput. Appl. 1999, 4(1), 39-44;

The Singularities Near the Corner of a Viscoelastic Fluid in a 2D Cavity

The University of Ondokuz Mayıs, Science and Art Faculty, Dept. of Mathematics, Samsun, Turkey
The University of Glamorgan, Dept. of Maths & Computing, Treeforest, Wales, UK
Authors to whom correspondence should be addressed.
Published: 1 April 1999
PDF [1749 KB, uploaded 1 April 2016]


In this article finite differences are used to study viscoelastic incompressible flow of a Criminale Erickson Filbey fluid in a square cavity flow domain. In this case, the nature of corner singularities is examined in which the fluid is contained and the flow generated by the motion of one or more walls. The governing equations are formulated in terms of stream function and vorticity equation and the corresponding radial parts are defined by a fourth-order non-linear differential equations for Stokes flow. In recent years that mathematical formulations of viscoelastic flows often remain very complex velocity and stress field and then stress singularities are known to occur in several flows as in this article. Therefore, singularity behaviour became a very important current issue in fluid dynamics. However, this article is set up with the aim of examining the corner singularities for cavity driven flow in 2D for viscoelastic flow despite the Newtonian flow being well known. Then we show that the viscoelastic fluid has different singularity behaviour than the viscous fluid near the corner with respect to the shear-rate.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Share & Cite This Article

MDPI and ACS Style

Hüseyin, D.; Willianms, R.W.; Akyıldız, F.T. The Singularities Near the Corner of a Viscoelastic Fluid in a 2D Cavity. Math. Comput. Appl. 1999, 4, 39-44.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics



[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top