About: Inertial number

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The Inertial number is a dimensionless quantity which quantifies the significance of dynamic effects on the flow of a granular material. It measures the ratio of inertial forces of grains to imposed forces: a small value corresponds to the quasi-static state, while a high value corresponds to the inertial state or even the "dynamic" state. It is given by: where is the shear rate, the average particle diameter, is the pressure and is the density. Generally three regimes are distinguished: * : quasi static flow * : dense flow * : collisional flow

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  • The Inertial number is a dimensionless quantity which quantifies the significance of dynamic effects on the flow of a granular material. It measures the ratio of inertial forces of grains to imposed forces: a small value corresponds to the quasi-static state, while a high value corresponds to the inertial state or even the "dynamic" state. It is given by: where is the shear rate, the average particle diameter, is the pressure and is the density. Generally three regimes are distinguished: * : quasi static flow * : dense flow * : collisional flow One model of dense granular flows, the μ(I) rheology, asserts that the coefficient of friction μ of a granular material is a function of the inertial number only. (en)
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  • The Inertial number is a dimensionless quantity which quantifies the significance of dynamic effects on the flow of a granular material. It measures the ratio of inertial forces of grains to imposed forces: a small value corresponds to the quasi-static state, while a high value corresponds to the inertial state or even the "dynamic" state. It is given by: where is the shear rate, the average particle diameter, is the pressure and is the density. Generally three regimes are distinguished: * : quasi static flow * : dense flow * : collisional flow (en)
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  • Inertial number (en)
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