Granular-flow rheology: Role of shear-rate number in transition regime
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Abstract
This paper examines the rationale behind the semiempirical formulation of a generalized viscoplastic fluid (GVF) model in the light of the Reiner-Rivlin constitutive theory and the viscoplastic theory, thereby identifying the parameters that control the rheology of granular flow. The shear-rate number ( N ) proves to be among the most significant parameters identified from the GVF model. As N → 0 and N →∞, the GVF model can reduce asymptotically to the theoretical stress versus shear-rate relations in the macroviscous and grain-inertia regimes, respectively, where the grain concentration ( C ) also plays a major role in the rheology of granular flow. Using available data obtained from the rotating-cylinder experiments of neutrally buoyant solid spheres dispersing in an interstitial fluid, the shear stress for granular flow in transition between the two regimes proves dependent on N and C in addition to some material constants, such as the coefficient of restitution. The insufficiency of data on rotating-cylinder experiments cannot presently allow the GVF model to predict how a granular flow may behave in the entire range of N ; however, the analyzed data provide an insight on the interrelation among the relevant dimensionless parameters.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Granular-flow rheology: Role of shear-rate number in transition regime |
| Series title | Journal of Engineering Mechanics |
| DOI | 10.1061/(ASCE)0733-9399(1996)122:5(469) |
| Volume | 122 |
| Issue | 5 |
| Year Published | 1996 |
| Language | English |
| Publisher | ASCE |
| Description | 11 p. |
| First page | 469 |
| Last page | 479 |
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