## Abstract Heat transfer plays a major role in the processing of many particulate materials. The heat flux vector is commonly modelled by the Fourier's law of heat conduction and for complex materials such as non‐linear fluids, porous media, or granular materials, the coefficient of thermal conduc
Discrete element simulations for granular material flows: effective thermal conductivity and self-diffusivity
✍ Scribed by M.L. Hunt
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 934 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0017-9310
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✦ Synopsis
This study uses a two-dimensional discrete-element simulation to determine the effective thermal conductivity and self-diffusivity-uantities that depend on the random motions of particles within a granular material flow. The simulations are performed for solid fractions from 0.015 to 0.68 and for different Biot-Fourier numbers. The assumptions used in the simulations are consistent with dense-gas kinetic theory ; hence, the simulation results are shown to compare well with the self-diffusivity based on kinetic theory predictions.
For the heat transfer problem, the analysis differs from classic kinetic theory since the particles can exchange heat with the surrounding fluid. For Biot-Fourier numbers much less than 1. the effective conductivity from the simulations coincides with kinetic theory predictions.
As the Biot-Fourier number increases above 0.1, the results deviate considerably from the classic analysis, but can be predicted using a modified kinetic theory approach.
The simulation is a powerful technique, which can be extended to problems that are not consistent with kinetic theory assumptions.
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