Journal of Applied Mathematics and Decision Sciences 
Volume 4 (2000), Issue 2, Pages 111-123
doi:10.1155/S1173912600000080

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

Abstract

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.