This paper presents simulations of dam-break flows of Herschel–Bulkley viscoplastic fluids
over complex topographies using the shallow water equations (SWE). In particular, this …

This paper presents mathematical modelling and simulation of thin free-surface flows of
viscoplastic fluids with a Herschel–Bulkley rheology over complex topographies with basal …

Newtonian fluid is ideal for lubrication purposes because the viscosity of this fluid remains
as a function of the shear. Besides, the heat and mass transfer are an important study area …

Coal gangue, the primary solid waste generated during the coal mining process, is typically
disposed of on the surface, where it gradually accumulates to form gangue piles that …

Roll waves on landslide muds are nonlinear instabilities on non-Newtonian laminar free-
surface flow. Existing theories of the roll waves on the mudflow have been developed using …

We derive two asymptotic expansions with a smooth velocity field for free-surface
viscoplastic flows down an inclined plane in the shallow-flow approximation. The first …

We derive a depth-averaged model consistent with the µ (I) rheology for an incompressible
granular flow down an inclined plane. The first two variables of the model are the depth and …