Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
Sahoo, P., Ghosh, N.: Finite element contact analysis of fractal surfaces. J. Phys. D Appl. Phys. 40(14), 4245–4252 (2007)
Oysu, C.: Finite element and boundary element contact stress analysis with remeshing technique. Appl. Math. Model. 31(12), 2744–2753 (2007)
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)
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)
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)
Jagota, A., Mikeska, K.R., Bordia, R.K.: Isotropic constitutive model for sintering particle packings. J. Am. Ceram. Soc. 73(8), 2266–2273 (1990)
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)
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)
Vargas, W.L., McCarthy, J.J.: Heat conduction in granular materials. AIChE J. 47(5), 1052–1059 (2001)
Jia, X., Gopinathan, N., Williams, R.A.: Modeling complex packing structures and their thermal properties. Adv. Powder Technol. 13(1), 55–71 (2002)
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)
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)
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)
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)
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)
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)
Nikishkov, G.P.: Programming Finite Elements in JavaTM. Springer Science & Business Media, London (2010)
Bergman, T.L., Incropera, F.P., Lavine, A.S., et al.: Fundamentals of heat and mass transfer. Wiley, Chichester (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media Singapore
About this paper
Cite this paper
Joulin, C., Xiang, J., Latham, JP., Pain, C. (2017). A New Finite Discrete Element Approach for Heat Transfer in Complex Shaped Multi Bodied Contact Problems. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_34
Download citation
DOI: https://doi.org/10.1007/978-981-10-1926-5_34
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1925-8
Online ISBN: 978-981-10-1926-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)