Journal title
Journal of Engineering Mathematics
DOI
10.1007/s10665-018-9954-x
Issue
1
Volume
111
Last updated
2024-04-11T11:51:58.437+01:00
Page
51-77
Abstract
The stability of two-dimensional Poiseuille flow and plane Couette flow for concentrated suspensions is investigated. Linear stability analysis of the two-phase flow model for both flow geometries shows the existence of a convectively driven instability with increasing growth rates of the unstable modes as the particle volume fraction of the suspension increases. In addition it is shown that there exists a bound for the particle phase viscosity below which the two-phase flow model may become ill-posed as the particle phase approaches its maximum packing fraction. The case of twodimensional Poiseuille flow gives rise to base state solutions that exhibit a jammed and unyielded region, due to shear-induced migration, as the maximum packing fraction is approached. The stability characteristics of the resulting Bingham-type flow is investigated and connections to the stability problem for the related classical Bingham-flow problem are discussed.
Symplectic ID
820692
Submitted to ORA
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Publication type
Journal Article
Publication date
21 Feb 2018