C. #NAME? Ling
Chiu-Lan Chen
1996
<p><span>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 ( </span><strong>N</strong><span> ) proves to be among the most significant parameters identified from the GVF model. As </span><strong>N</strong><span> → 0 and </span><strong>N</strong><span> →∞, 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 ( </span><i>C</i><span> ) 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 </span><strong>N</strong><span> and </span><i>C</i><span> 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 </span><strong>N</strong><span> ; however, the analyzed data provide an insight on the interrelation among the relevant dimensionless parameters.</span></p>
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10.1061/(ASCE)0733-9399(1996)122:5(469)
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ASCE
Granular-flow rheology: Role of shear-rate number in transition regime
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