Journal of Applied Mathematics and Decision Sciences
Volume 4 (2000), Issue 2, Pages 111-123

Numerical simulation of the oscillations of non-newtonian viscous fluids with a free surface

A. Korobeinikov

Department of Mathematics, University of Auckland, Auckland Private Bag 92019, New Zealand

Copyright © 2000 A. Korobeinikov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Non-Newtonian fluids are increasingly being transported by a variety of vehicles. It has been observed that vehicles containing such fluids demonstrate behaviour which could be explained only by non-linearity characteristics of such fluids. In this paper small oscillations of non-Newtonian fluids in tanks are considered. A numerical method suitable for both Newtonian and non-Newtonian fluids is suggested. Examples of numerical simulations with emphasis on Bingham fluids are given to demonstrate effects of non-linear properties.