Granular Flows

  • Chung Fang
Part of the Springer Textbooks in Earth Sciences, Geography and Environment book series (STEGE)


Granular matters are collections of a large amount of discrete solid particles with interstices filled with a fluid, and granular flows are granular matters in flowing state. In contrast to simple fluids such as water or air which can be dealt with by classical fluid mechanics, granular flows exhibit significant non-Newtonian features. The evolutions of grain configurations as well as the interstitial fluids influence to a large extent the macroscopic features, which are referred to as the microstructural effects. Granular flows may be macroscopically considered complex rheological fluids, whose features are significantly affected by the microscopic time- and space-dependent internal structures. In other words, granular flows assume multiple time and length scales

Further Reading

  1. S.J. Antony, W. Hoyle, Y. Ding (eds.), Granular Materials: Fundamentals and Applications (The Royal Society of Chemistry, Cambridge, 2004)Google Scholar
  2. I.S. Aranson, L.S. Tsimring, Granular Pattern (Oxford University Press, Oxford, 2009)zbMATHGoogle Scholar
  3. T. Aste, T.D. Matteo, A. Tordesillas (eds.), Granular and Complex Materials (World Scientific, New Jersey, 2007)zbMATHGoogle Scholar
  4. D. Bideau, A. Hansen (eds.), Disorder and Granular Media (North-Holland, Amsterdam, 1993)Google Scholar
  5. G. Capriz, P. Giovine, P.M. Mariano (eds.), Mathematical Models of Granular Matter (Springer, Berlin, 2008)zbMATHGoogle Scholar
  6. P. Coussot, Mudflows Rheology and Dynamics (A.A. Balkema, Rotterdam, 1997)zbMATHGoogle Scholar
  7. D.A. Drew, D.D. Joseph, S.L. Passman (eds.), Particulate Flows: Processing and Rheology (Springer, Berlin, 1998)Google Scholar
  8. J. Duran, Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials (Springer, Berlin, 2000)CrossRefGoogle Scholar
  9. C. Fang, Gravity-driven dry granular slow flows down an inclined moving plane: a comparative study between two concepts of the evolution of porosity. Rheological Acta 48, 971–992 (2009)Google Scholar
  10. C. Fang, Rheological characteristics of solid-fluid transition in dry granular dense flows: a thermodynamically consistent constitutive model with a pressure ratio order parameter. Int. J. Numer. Anal. Methods Geomech. 34(9), 881–905 (2010)Google Scholar
  11. C. Fang, A \(k\)-\({\varepsilon }\) turbulent closure model of an isothermal dry granular dense matter. Contin. Mech. Thermodyn. 28(4), 1049–1069 (2016)Google Scholar
  12. K. Hutter, N. Kirchner (eds.), Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations (Springer, Berlin, 2003)zbMATHGoogle Scholar
  13. K. Hutter, K. Wilmánski (eds.), Kinetic and Continuum Theories of Granular and Porous Media (Springer, Berlin, 1999)zbMATHGoogle Scholar
  14. K. Iwashita, M. Oda (eds.), Mechanics of Granular Materials: An Introduction (A.A. Balkema, Rotterdam, 1999)Google Scholar
  15. M. Jakob, O. Hungr (eds.), Debris-Flow Hazards and Related Phenomena (Springer, Berlin, 2005)Google Scholar
  16. D. Kolymbas (ed.), Constitutive Modeling of Granular Materials (Springer, Berlin, 2000)Google Scholar
  17. A. Mehta, Granular Physics (Cambridge University Press, Cambridge, 2007)CrossRefGoogle Scholar
  18. T. Pöschel, N. Brilliantov (eds.), Granular Gas Dynamics (Springer, Berlin, 2003)Google Scholar
  19. S. Pudasaini, K. Hutter, Avalanche Dynamics (Springer, Berlin, 2007)Google Scholar
  20. K.K. Rao, P.R. Nott, An Introduction to Granular Flows (Cambridge University Press, Cambridge, 2008)CrossRefGoogle Scholar
  21. A.F. Revuzhenko, Mechanics of Granular Media (Springer, Berlin, 2006)zbMATHGoogle Scholar
  22. G.H. Ristow, Pattern Formation in Granular Materials (Springer, Berlin, 2000)Google Scholar
  23. L. Schneider, K. Hutter, Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context (Springer, Berlin, 2009)CrossRefGoogle Scholar
  24. T. Takahashi, Debris Flows: Mechanics, Prediction and Countermeasures (Taylor & Francis, London, 2007)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringNational Cheng Kung UniversityTainanTaiwan

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