scholarly journals Stability analysis for the flow of granular materials down an inclined plane using kinetic model. Quarterly report, January 1, 1993--March 31, 1993

Author(s):  
K.R. Rajagopal
1994 ◽  
Vol 103 (1-4) ◽  
pp. 63-78 ◽  
Author(s):  
R. Gudhe ◽  
K. R. Rajagopal ◽  
M. Massoudi

2020 ◽  
Vol 117 (15) ◽  
pp. 8366-8373 ◽  
Author(s):  
Sandip Mandal ◽  
Maxime Nicolas ◽  
Olivier Pouliquen

Characterization and prediction of the “flowability” of powders are of paramount importance in many industries. However, our understanding of the flow of powders like cement or flour is sparse compared to the flow of coarse, granular media like sand. The main difficulty arises because of the presence of adhesive forces between the grains, preventing smooth and continuous flows. Several tests are used in industrial contexts to probe and quantify the “flowability” of powders. However, they remain empirical and would benefit from a detailed study of the physics controlling flow dynamics. Here, we attempt to fill the gap by performing intensive discrete numerical simulations of cohesive grains flowing down an inclined plane. We show that, contrary to what is commonly perceived, the cohesive nature of the flow is not entirely controlled by the interparticle adhesion, but that stiffness and inelasticity of the grains also play a significant role. For the same adhesion, stiffer and less dissipative grains yield a less cohesive flow. This observation is rationalized by introducing the concept of a dynamic, “effective” adhesive force, a single parameter, which combines the effects of adhesion, elasticity, and dissipation. Based on this concept, a rheological description of the flow is proposed for the cohesive grains. Our results elucidate the physics controlling the flow of cohesive granular materials, which may help in designing new approaches to characterize the “flowability” of powders.


1964 ◽  
Vol 86 (2) ◽  
pp. 214-218 ◽  
Author(s):  
D. B. Bogy ◽  
P. R. Paslay

The buckling of drill pipe in the vertical plane for the case of an inclined hole is studied. This is accomplished by performing a stability analysis of a simply supported column lying in compression on a rigid inclined plane in the presence of a gravity field. The lateral displacement of the column is restricted to be perpendicular to the plane. According to the results of an approximate analysis it is found that the system becomes unstable under the above conditions only if the lateral variational displacements are finite. The derived stability equation is verified for a particular case by a simple experiment. The results of this analysis can be used to determine the “crookedness” of a hole which, under specified conditions, will induce instability.


2019 ◽  
Vol 23 (3 Part A) ◽  
pp. 1393-1399 ◽  
Author(s):  
Pei-Tao Qiu ◽  
Zhan-Qing Chen ◽  
Hai Pu ◽  
Lian-Ying Zhang

In this paper, the two-phase fluid composed of fine geologic particles and water is considered to be a non-Newtonian fluid, and the seepage dynamics model of the two-phase medium in the rock-soil structure is constructed. Based on the hypothesis, the boundary conditions and solving methods of the model are given and the critical conditions of the model instability are also discussed in detail. It is shown that the existence of the equilibrium state of the kinetic model is determined by the power exponent, the effective fluidity and the non-Darcian flow factor.


2015 ◽  
Vol 60 (3) ◽  
pp. 253-257
Author(s):  
O.I. Gerasymov ◽  
◽  
A.Ya. Spivak

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