Shearing motion of a fluid‐saturated granular material

Passman, Stephen L.; Nunziato, Jace W.; Bailey, Paul B.; Reed, K.W.

doi:10.1122/1.549894

Cited by 38 publications

(39 citation statements)

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“…Finally, we wish to reiterate that, although our analysis has been restricted to the continuum model of Goodman and Cowin, it carries over to other continuum models for both dry and fluid-saturated granular materials [3][4][5][6][7][8], in view of their similarities in structure.…”

Section: Discussionmentioning

confidence: 99%

“…Nevertheless, the two governing systems are completely equivalent, and thus, they share the same integrability condition. The particular form of the model of Goodman and Cowin employed herein has been favored over its original one because it allows for straightforward comparisons with other models for either dry or fluid-saturated granular materials; see, for example, [3][4][5][6][7][8].…”

Section: The Continuum Model For Dry Granular Flows Of Goodman and Cowinmentioning

confidence: 99%

“…Nevertheless, the existing continuum models share strong similarities in structure. Consequently, the analysis presented herein can be employed for the establishment of integrability at equilibrium to a multitude of different models such as the ones proposed in [3][4][5][6][7][8].…”

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confidence: 99%

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Gibbs free energy and integrability of continuum models for granular media at equilibrium

Varsakelis

2014

Continuum Mech. Thermodyn.

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In this letter, we address the problem of the integrability of a continuum model for granular media at equilibrium. By the means of a formal integrability analysis, we show that the equilibrium limit of such models can be cast into a gradient equation with zero right-hand side. In turn, this implies that the model of interest is inherently Frobenius integrable, in the absence of additional compatibility conditions. Moreover, the quantity inside the gradient is identified with the granular material's Gibbs free energy. Consequently, the integrability for the model at hand is equivalent to setting the Gibbs free energy of the granular material constant throughout the domain. In other words, integrability is equivalent to the definition of equilibrium employed in statistical physics.

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Section: Discussionmentioning

confidence: 99%

Section: The Continuum Model For Dry Granular Flows Of Goodman and Cowinmentioning

confidence: 99%

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Gibbs free energy and integrability of continuum models for granular media at equilibrium

Varsakelis

2014

Continuum Mech. Thermodyn.

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Section: Symmetry Conditionsmentioning

confidence: 99%

“…In the continuum theories of Goodman and Cowin [55,56], where density gradient is included with various modifications given in [22,23,[57][58][59], two boundary conditions on the volume fraction are required. In the numerical solution of shearing motion of a fluid-solid flow, Passman et al [58] prescribed the value of the volume fraction at the two plates. In the kinetic theory approach, additional boundary conditions are also necessary for the value of the fluctuating energy which is related to what is usually referred to as the granular temperature [60][61][62][63][64][65][66].…”

Section: Symmetry Conditionsmentioning

confidence: 99%

Boundary conditions in mixture theory and in CFD applications of higher order models

Massoudi¹

2007

Computers & Mathematics with Applications

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We discuss the importance of and the need for (additional) boundary conditions in Mixture Theory (also known as the Theory of Interacting Continua). Specifically, we will give an overview of the model due to Rajagopal and Massoudi which is appropriate for the flow of a linearly viscous fluid infused with solid particles. The solid particles are modeled as granular materials. In this formulation the need for additional boundary condition arises due to higher gradients of density (or volume fraction). The challenging issue of how to 'split' the total stress or the total velocity at the boundary is also discussed.

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Effects of Shear Rate during Energetic Material Processing on Reactivity

et al. 2019

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Energetic materials are often processed at high rates of deformation as colloidal slurries and then cured. The slurries are non-Newtonian colloidal solutions that exhibit changes in microstructure with variations in applied flow. This study shows that changes to microstructure due to applied flow affect the reactivity of energetic thin films. Energetic thin films of identical composition and geometry are prepared with different applied shear rates, which produce variations in the film microstructure by segregating smaller particles toward surfaces. Results show that films exhibit significant gains in flame speed with increasing shear rate. The differences in flame speed are linked to variations in microstructure. Specifically, densification of smaller particles near a boundary promote increased flame speeds. However, when particles become segregated, larger particles tend to contribute less to the overall reaction because they burn slowly compared to the smaller particles. When segregated, the larger particles may not be adding chemical energy to the reaction front because propagation is dominated by the more ignition sensitive smaller particles. This study demonstrates explicit changes in reactivity arising from changes in processing conditions that affect microstructure. Controlling applied shear rate introduces a new approach to regulating energetic material reactivity when processed using extrusion-based advanced manufacturing techniques.

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Shearing motion of a fluid‐saturated granular material

Cited by 38 publications

References 0 publications

Gibbs free energy and integrability of continuum models for granular media at equilibrium

Gibbs free energy and integrability of continuum models for granular media at equilibrium

Boundary conditions in mixture theory and in CFD applications of higher order models

Effects of Shear Rate during Energetic Material Processing on Reactivity

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