Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Nonlinear Instability Analysis of Power-Law Sheets
L. Liu, L. Yang, X. Liu, S. Liu
Abstract:
Research on nonlinear instability of Power-law plane sheets has been conducted using Carreau law. Combined with asymptotic expansion and long wave assumption, the governing equations and boundary conditions were performed using integral transform. The first-order dimensionless dispersion relation between unstable growth rate and wavenumber was obtained and the second-order interface disturbance amplitude was calculated. By comparison and analysis of components of the second-order interface disturbance amplitude, the effects of power-law index n (n<1) were investigated and the condition under which the shear-thinning effect can be evident was concluded, thus contributing to theoretical basis and technological means to improve atomization of power-law sheets.
Keywords:
Carreau law, nonlinear stability, shear-thinning, asymptotic expansion

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.026

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 203-210 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)