Monsorno, Davide
[UCL]
Varsakelis, Christos
Papalexandris, Miltiadis
[UCL]
(eng)
In this paper, a two-phase thermomechanical theory for granular suspensions is presented. Our approach is based on a mixture-theoretic formalism and is coupled with a nonlinear representation for the granular viscous stresses so as to capture the complex non-Newtonian behaviour of the suspensions of interest. This representation has a number of interesting properties: it is thermodynamically consistent, it is non-singular and vanishes at equilibrium and it predicts non-zero granular bulk viscosity and shear-rate-dependent normal viscous stresses. Another feature of the theory is that the resulting model incorporates a rate equation for the evolution of the volume fraction of the granular phase. As a result, the velocity fields of both the granular material and the carrier fluid are divergent even for constant-density flows. Further, in this article we present the incompressible limit of our model which is derived via low-Mach-number asymptotics. The reduced equations for the important special case of constant-density flows are also presented and discussed. Finally, we apply the proposed model to two test cases, namely, steady shear flow of a homogeneous suspension and fully developed pressure-driven channel flow, and compare its predictions with available experimental and numerical results.
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Bibliographic reference |
Monsorno, Davide ; Varsakelis, Christos ; Papalexandris, Miltiadis. A two-phase thermomechanical theory for granular suspensions. In: Journal of Fluid Mechanics, Vol. 808, p. 410-440 (December 2016) |
Permanent URL |
http://hdl.handle.net/2078.1/177123 |