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Stability of two superposed viscoelastic fluid‐particle mixtures
Author(s) -
Kumar P.,
Mohan H.,
Singh G.J.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310222
Subject(s) - viscoelasticity , stability (learning theory) , kinematics , physics , plane (geometry) , particle (ecology) , range (aeronautics) , mechanics , classical mechanics , mathematics , thermodynamics , materials science , geometry , composite material , oceanography , machine learning , computer science , geology
Abstract The stability of the plane interface separating two viscoelastic (Walters B′) superposed fluids of uniform densities in the presence of suspended particles is considered. The stability analysis has been carried out, for mathematical simplicity, for two highly viscoelastic fluids of equal kinematic viscosities and equal kinematic visco‐elasticities. For the (density wise) stable configuration, the system is found to be stable or unstable for the wave number range k ≤ or > \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ {{1} \over {{\sqrt{2\nu \prime}}}} $\end{document} depending on the kinematic viscoelasticity ν′. However, the system is found to be unstable for the unstable configuration.