- Volume 18 Issue 2
PURPOSES : The applicability of the mechanics-based similarity concept (suggested by Feng et al.) for determining scaled variables, including length and load, via laboratory-scale tests and discrete element analysis, was evaluated. METHODS: Several studies on the similarity concept were reviewed. The exact scaling approach, a similarity concept described by Feng, was applied in order to determine an analytical solution of a free-falling ball. This solution can be considered one of the simplest conditions for discrete element analysis. RESULTS : The results revealed that 1) the exact scaling approach can be used to determine the scale of variables in laboratory tests and numerical analysis, 2) applying only a scale factor, via the exact scaling approach, is inadequate for the error-free replacement of small particles by large ones during discrete element analysis, 3) the level of continuity of flowable materials such as SCC and cement mortar seems to be an important criterion for evaluating the applicability of the similarity concept, and 4) additional conditions, such as the kinetics of particle, contact model, and geometry, must be taken into consideration to achieve the maximum radius of replacement particles during discrete element analysis. CONCLUSIONS : The concept of similarity is a convenient tool to evaluate the correspondence of scaled laboratory test or numerical analysis to physical condition. However, to achieve excellent correspondence, additional factors, such as the kinetics of particles, contact model, and geometry, must be taken into consideration.
similarity;scale factor;numerical analysis;scaled test;discrete element method
- Zhang, MH., Chu, KW., Wei, F., and Yu, AB. 2008, A CFD?DEM study of the cluster behavior in riser and downer reactors, Powder Technol., Vol. 184, 151-165. https://doi.org/10.1016/j.powtec.2007.11.036
- Zhao, J., Shan, T., 2013, Coupled CFD-DEM simulation of fluidparticle interaction in geomechanics, Powder Technology. Vol. 239, 248-258. https://doi.org/10.1016/j.powtec.2013.02.003
- Cengel YA., Cimbala JM. Fluid Mechanics: Fundamentals and Applications. Third Edition, Mc Graw Hill.
- Feng YT. Own DRJ. 2014. Discrete element modeling of large scale particle systems-I: exact scaling laws. Comp. Part Mech. Vol. 1, 159-168. https://doi.org/10.1007/s40571-014-0010-y
- Feng YT. Han K., Own DRJ. 2009. On upscaling of discrete element models: similarity principles. Inter. jour. Comp Aided Eng and SW Vol. 26 No. 6, 599-609.
- Fries, L., Antonyuk, S., Heinrich, S., and Palzer, S. 2011, DEMCFD modeling of a fluidize bed spray granulator, Chem. Eng. Sci., Vol. 66, 2340-2355. https://doi.org/10.1016/j.ces.2011.02.038
- Marshall JS. LI S. 2015, Adhesive Particle Flow. Cambridge University Press.
- Munson BR., Okiishi TH., Buebsch WW., Rothmayer AP. 2013. Fundamentals of Fluid Mechanics. Seventh Edition. Wiley.
- Kafui, DK.. Johnson, S., Thornton, C. and Seville, JPK. .2011. Parallelization of a Lagrangian?Eulerian DEM/CFD code for application to fluidized beds. Powder Technol., Vol. 207, 270-278. https://doi.org/10.1016/j.powtec.2010.11.008
- Teixeira JES., Kim Y., Souza FV., Allen DH., and Little DN. 2014. Multiscale Model for Asphalt Mixtures Subjected to Cracking and Viscoelastic Deformation. Transportation Research Record, Vol. 2447, 136-145. https://doi.org/10.3141/2447-15
- Yun TY. Yoo PJ. 2015. Implementation and verification of linear cohesive viscoelastic contact model for discrete element method. Int, J, Highw, Eng. Vol. 17, No. 4, 25-31.
Supported by : 한국연구재단