A New Finite Discrete Element Approach for Heat Transfer in Complex Shaped Multi Bodied Contact Problems

Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 188)


This work presents a new approach for the modelling of the heat transfer of 3D discrete particle systems. Using a finite-discrete element (FEMDEM) method, the surface of contact is numerically computed when two discrete meshes of contacting solids are overlapping. Incoming heat flux and heat conduction inside and between solid bodies is linked. In traditional FEM approaches to model heat transfer across contacting bodies, the surface of contact is not directly reconstructed. The approach adopted here uses the number of surface elements from the penetrating boundary meshes to form a polygon of the intersection. This results in a significant decrease in the mesh dependency of the method. Moreover, this new method is suited to any shape of particle and heat distribution across particles is an inherent feature of the model.


Discrete Element Method Target Element Contactor Element Contact Heat Contact Heat Transfer 
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  1. 1.
    Yastrebov, V.A., Durand, J., Proudhon, H., Cailletaud, G.: Rough surface contact analysis by means of the finite element method and of a new reduced model. Comptes Rendus Mécanique 339(7–8), 473–490 (2011)ADSCrossRefGoogle Scholar
  2. 2.
    Hyun, S., Pel, L., Molinari, J.F., Robbins, M.O.: Finite-element analysis of contact between elastic self-affine surfaces. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 70(2.2), 1–12 (2004)Google Scholar
  3. 3.
    Sahoo, P., Ghosh, N.: Finite element contact analysis of fractal surfaces. J. Phys. D Appl. Phys. 40(14), 4245–4252 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    Oysu, C.: Finite element and boundary element contact stress analysis with remeshing technique. Appl. Math. Model. 31(12), 2744–2753 (2007)CrossRefzbMATHGoogle Scholar
  5. 5.
    Johansson, L., Klarbring, A.: Thermoelastic frictional contact problems: modelling, finite element approximation and numerical realization. Comput. Methods Appl. Mech. Eng. 105(2), 181–210 (1993)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Bathe, K.J., Bouzinov, P.A., Pantuso, D.: A finite element procedure for the analysis of thermo-mechanical solids in contact. Comput. Struct. 75, 551–573 (2000)CrossRefGoogle Scholar
  7. 7.
    Murashov, M.V., Panin, S.D.: Numerical modelling of contact heat transfer problem with work hardened rough surfaces. Int. J. Heat Mass Transf. 90, 72–80 (2015)CrossRefGoogle Scholar
  8. 8.
    Jagota, A., Mikeska, K.R., Bordia, R.K.: Isotropic constitutive model for sintering particle packings. J. Am. Ceram. Soc. 73(8), 2266–2273 (1990)CrossRefGoogle Scholar
  9. 9.
    Argento, C., Bouvard, D.: Modeling the effective thermal conductivity of random packing of spheres through densification. Int. J. Heat Mass Transf. 39(7), 1343–1350 (1996)CrossRefzbMATHGoogle Scholar
  10. 10.
    Cheng, G.J., Yu, a, Zulli, P.: Evaluation of effective thermal conductivity from the structure of a packed bed. Chem. Eng. Sci. 54, 4199–4209 (1999)CrossRefGoogle Scholar
  11. 11.
    Vargas, W.L., McCarthy, J.J.: Heat conduction in granular materials. AIChE J. 47(5), 1052–1059 (2001)CrossRefGoogle Scholar
  12. 12.
    Jia, X., Gopinathan, N., Williams, R.A.: Modeling complex packing structures and their thermal properties. Adv. Powder Technol. 13(1), 55–71 (2002)CrossRefGoogle Scholar
  13. 13.
    Siu, W.W.M., Lee, S.H.K.: Transient temperature computation of spheres in three-dimensional random packings. Int. J. Heat Mass Transf. 47(5), 887–898 (2004)CrossRefzbMATHGoogle Scholar
  14. 14.
    Shimizu, Y.: Three-dimensional simulation using fixed coarse-grid thermal-fluid scheme and conduction heat transfer scheme in distinct element method. Powder Technol. 165(3), 140–152 (2006)CrossRefGoogle Scholar
  15. 15.
    Feng, Y.T., Han, K., Li, C.F., Owen, D.R.J.: Discrete thermal element modelling of heat conduction in particle systems: basic formulations. J. Comput. Phys. 227(10), 5072–5089 (2008)ADSCrossRefzbMATHGoogle Scholar
  16. 16.
    Feng, Y.T., Han, K., Owen, D.R.J.: Discrete thermal element modelling of heat conduction in particle systems: pipe-network model and transient analysis. Powder Technol. 193(3), 248–256 (2009)CrossRefGoogle Scholar
  17. 17.
    Rickelt, S., Wirtz, S., Scherer, V.: A New Approach to Simulate Transient Heat Transfer Within the Discrete Element Method. In: Fluid-Structure Interaction, vol. 4, pp. 221–230. ASME (2008)Google Scholar
  18. 18.
    Rickelt, S., Kruggel-Emden, H., Wirtz, S., Scherer, V.: Simulation of heat transfer in moving granular material by the discrete element method with special emphasis on inner particle heat transfer. In: Proceedings of the ASME 2009 Heat Transfer Summer Conference, pp. 1–11 (2009)Google Scholar
  19. 19.
    Nikishkov, G.P.: Programming Finite Elements in JavaTM. Springer Science & Business Media, London (2010)CrossRefzbMATHGoogle Scholar
  20. 20.
    Bergman, T.L., Incropera, F.P., Lavine, A.S., et al.: Fundamentals of heat and mass transfer. Wiley, Chichester (2011)Google Scholar

Copyright information

© Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Applied Modelling and Computation Group, Department of Earth Science and EngineeringImperial College LondonLondonUK

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