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Granular flows down inclined channels with a strain-rate dependent friction coefficient. Part I: Non-cohesive materials

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Abstract

The flow of a granular material down an incline of finite width with a strain-rate dependent coefficient of friction and a conical yield criterion is semi-analytically obtained using a characteristic method for flows on a deep layer of grains. This analysis leads to a flow field with three distinct zones: a Bagnold-flow zone below the free surface, a dead-zone and a matching zone between the two, linked to slippage at the wall. A good agreement between the computed flow field and experimental data is obtained.

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References

  1. Balmforth N.J., Kerswell R.R.: Granular collapse in two dimensions. J. Fluid Mech. 538, 399–428 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Cleaver J.A.S., Nedderman R.M.: Theoretical prediction of stress and velocity profiles in conical hoppers. Chem. Eng. Sci 48, 3693–3702 (1993)

    Article  Google Scholar 

  3. Da Cruz F., Emam S., Prochnow M., Roux J.-N., Chevoir F.: Rheophysics of dense granular materials: discrete simulations of plane shear. Phys. Rev. E 72, 021309 (2005)

    Article  ADS  Google Scholar 

  4. de Ryck, A.: Granular flows down inclined channels with a strain-rate dependent friction coefficient. Part II: Cohesive materials. Granular Matter (2007). doi:10.1007/s10035-008-0106-2

  5. Jenike A.W.: A theory of flow of particulate solids in converging and diverging channels based on a conical yield function. Powder Technol. 50, 229–236 (1987)

    Article  Google Scholar 

  6. Jop P., Forterre Y., Pouliquen O.: A constitutive law for dense granular flows. Nature 441, 727–730 (2006)

    Article  ADS  Google Scholar 

  7. Midi G.D.R.: On dense granular flows. Eur. Phys. J. E 14(4), 341–365 (2004)

    Google Scholar 

  8. Nedderman R.M.: Statics and Kinematics of Granular Materials. Cambridge University Press, Cambridge (1992)

    Google Scholar 

  9. Savage S.B.: The mechanics of rapid granular flows. Adv. Appl. Mech. 24, 289–366 (1984)

    Article  MATH  Google Scholar 

  10. Savage S.B., Hutter K.: The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177–215 (1989)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. Staron L., Hinch E.J.: The spreading of a granular mass: role ofgrain properties and initial conditions. Granular Matter 9, 205–217 (2007)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. École des Mines d’Albi, UMR CNRS 2392, Route de Teillet, 81000, Albi, France

    Alain de Ryck, Renaud Ansart & John A. Dodds

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  1. Alain de Ryck
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  2. Renaud Ansart
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  3. John A. Dodds
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Correspondence to Alain de Ryck.

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de Ryck, A., Ansart, R. & Dodds, J.A. Granular flows down inclined channels with a strain-rate dependent friction coefficient. Part I: Non-cohesive materials. Granular Matter 10, 353–360 (2008). https://doi.org/10.1007/s10035-008-0105-3

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  • DOI: https://doi.org/10.1007/s10035-008-0105-3

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