Jump to main content
Jump to site search

Issue 46, 2018
Previous Article Next Article

Wall friction and Janssen effect in the solidification of suspensions

Author affiliations

Abstract

We address the mechanical effect of rigid boundaries on freezing suspensions. For this we perform the directional solidification of monodispersed suspensions in thin samples and we document the thickness h of the dense particle layer that builds up at the solidification front. We evidence a change of regime in the evolution of h with the solidification velocity V with, at large velocity, an inverse proportionality and, at low velocity, a much weaker trend. By modelling the force balance in the critical state for particle trapping and the dissipation phenomena in the whole layer, we link the former evolution to viscous dissipation and the latter evolution to solid friction at the rigid sample plates. Solid friction is shown to induce an analog of the Janssen effect on the whole layer. We determine its dependence on the friction coefficient between particles and plates, on the Janssen's redirection coefficient in the particle layer, and on the sample depth. Fits of the resulting relationship to data confirm its relevance at all sample depths and provide quantitative determinations of the main parameters, especially the Janssen's characteristic length and the transition thickness h between the above regimes. Altogether, this study thus clarifies the mechanical implication of boundaries on freezing suspensions and, on a general viewpoint, provides a bridge between the issues of freezing suspensions and of granular materials.

Graphical abstract: Wall friction and Janssen effect in the solidification of suspensions

Back to tab navigation

Publication details

The article was received on 01 Aug 2018, accepted on 23 Oct 2018 and first published on 25 Oct 2018


Article type: Paper
DOI: 10.1039/C8SM01572D
Citation: Soft Matter, 2018,14, 9498-9510
  •   Request permissions

    Wall friction and Janssen effect in the solidification of suspensions

    B. Saint-Michel, M. Georgelin, S. Deville and A. Pocheau, Soft Matter, 2018, 14, 9498
    DOI: 10.1039/C8SM01572D

Search articles by author

Spotlight

Advertisements