Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 712
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Bertuola, Davide Volpato, Silvia Canu, Paolo and Santomaso, Andrea C. 2016. Prediction of segregation in funnel and mass flow discharge. Chemical Engineering Science, Vol. 150, p. 16.


    Berzi, Diego and Fraccarollo, Luigi 2016. Intense sediment transport: Collisional to turbulent suspension. Physics of Fluids, Vol. 28, Issue. 2, p. 023302.


    Berzi, Diego and Vescovi, Dalila 2016. Shearing flows of frictionless spheres over bumpy planes: slip velocity. Computational Particle Mechanics,


    Berzi, Diego Thai-Quang, Nha Guo, Yu and Curtis, Jennifer 2016. Stresses and orientational order in shearing flows of granular liquid crystals. Physical Review E, Vol. 93, Issue. 4,


    Bhateja, Ashish Sharma, Ishan and Singh, Jayant K. 2016. Scaling of granular temperature in vibro-fluidized grains. Physics of Fluids, Vol. 28, Issue. 4, p. 043301.


    Capecelatro, Jesse Desjardins, Olivier and Fox, Rodney O. 2016. Strongly coupled fluid-particle flows in vertical channels. I. Reynolds-averaged two-phase turbulence statistics. Physics of Fluids, Vol. 28, Issue. 3, p. 033306.


    Capecelatro, Jesse Desjardins, Olivier and Fox, Rodney O. 2016. Strongly coupled fluid-particle flows in vertical channels. II. Turbulence modeling. Physics of Fluids, Vol. 28, Issue. 3, p. 033307.


    Clewett, James P. D. Wade, Jack Bowley, R. M. Herminghaus, Stephan Swift, Michael R. and Mazza, Marco G. 2016. The minimization of mechanical work in vibrated granular matter. Scientific Reports, Vol. 6, p. 28726.


    Fang, Chung 2016. A k– $${\varepsilon}$$ ε turbulence closure model of an isothermal dry granular dense matter. Continuum Mechanics and Thermodynamics, Vol. 28, Issue. 4, p. 1049.


    Hashemi, Seyed A. Spelay, Ryan B. Adane, Kofi F. K. and Sean Sanders, R. 2016. Solids velocity fluctuations in concentrated slurries. The Canadian Journal of Chemical Engineering, Vol. 94, Issue. 6, p. 1059.


    Lau, Philipp and Kind, Matthias 2016. CFD-PBE simulation to predict particle growth in a fluidized bed melt granulation batch process. Powder Technology,


    Melo, J.L.Z. Bacelos, M.S. Pereira, F.A.R. Lira, T.S. and Gidaspow, D. 2016. CFD modeling of conical spouted beds for processing LDPE/Al composite. Chemical Engineering and Processing: Process Intensification, Vol. 108, p. 93.


    Müller, Thomas and Huang, Kai 2016. Influence of the liquid film thickness on the coefficient of restitution for wet particles. Physical Review E, Vol. 93, Issue. 4,


    Ni, Changjiang Guo, En-Yu Zhang, Qingdong Jing, Tao and Wu, Junjiao 2016. Frictional-kinetic modeling and numerical simulation of core shooting process. International Journal of Cast Metals Research, Vol. 29, Issue. 4, p. 214.


    Redaelli, I. di Prisco, C. and Vescovi, D. 2016. A visco-elasto-plastic model for granular materials under simple shear conditions. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue. 1, p. 80.


    Shah, Milinkumar T. Utikar, Ranjeet P. Pareek, Vishnu K. Evans, Geoffrey M. and Joshi, Jyeshtharaj B. 2016. Computational fluid dynamic modelling of FCC riser: A review. Chemical Engineering Research and Design, Vol. 111, p. 403.


    Shvab, Alexander Kagenova, Natalia Kuznetsov, G.V. Strizhak, P.A. Zhdanova, A.O. and Bulba, E.E. 2016. Modeling of Hydrodynamics of a Highly Concentrated Granular Medium on the Basis of a Power-Law. EPJ Web of Conferences, Vol. 110, p. 01026.


    Yang, L. (Lei) Padding, J.T. (Johan) and Kuipers, J.A.M. (Hans) 2016. Modification of kinetic theory of granular flow for frictional spheres, part II: Model validation. Chemical Engineering Science, Vol. 152, p. 783.


    Yang, L. (Lei) Padding, J.T. (Johan) and Kuipers, J.A.M. (Hans) 2016. Modification of kinetic theory of granular flow for frictional spheres, Part I: Two-fluid model derivation and numerical implementation. Chemical Engineering Science, Vol. 152, p. 767.


    Yang, Guanghui Zhang, Sheng Lin, Ping Tian, Yuan Wan, Jiang-Feng and Yang, Lei 2016. Investigation of the reservoir as a feeder of inclined granular flows. Granular Matter, Vol. 18, Issue. 3,


    ×
  • Journal of Fluid Mechanics, Volume 130
  • May 1983, pp. 187-202

A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles

  • J. T. Jenkins (a1) and S. B. Savage (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112083001044
  • Published online: 01 April 2006
Abstract

We focus attention on an idealized granular material comprised of identical, smooth, imperfectly elastic, spherical particles which is flowing at such a density and is being deformed at such a rate that particles interact only through binary collisions with their neighbours. Using general forms of the probability distribution functions for the velocity of a single particle and for the likelihood of binary collisions, we derive local expressions for the balance of mass, linear momentum and fluctuation kinetic energy, and integral expressions for the stress, energy flux and energy dissipation that appear in them. We next introduce simple, physically plausible, forms for the probability densities which contain as parameters the mean density, the mean velocity and the mean specific kinetic energy of the velocity fluctuations. This allows us to carry out the integrations for the stress, energy flux and energy dissipation and to express these in terms of the mean fields. Finally, we determine the behaviour of these fields as solutions to the balance laws. As an illustration of this we consider the shear flow maintained between two parallel horizontal plates in relative motion.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax