THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

Numerical simulation and circuit network modelling of flow distributions in two-dimensional array configurations

ABSTRACT
Packing configuration is widely used in chemical industries such as chemical reaction and chromatograph where the flow distribution has a significant effect on the performance of heat/mass transfer. In the present paper, numerical simulation is carried out to investigate the fluid flow in three two-dimensional array configurations including in-line array, staggered array and hexagonal array. Meanwhile, a simplified equivalent circuit network model based on the Voronoi tessellation is proposed to simulate the flow models. It is found that firstly, the local Reynolds number could be used as a criterion to determine the flow regime. Flow with maximum local Reynolds number less than 40 could be regarded as Darcy flow. Secondly, the flow pattern can be well represented by the network model in the range of Darcy flow with the determination method of hydraulic resistance proposed in the present paper.
KEYWORDS
PAPER SUBMITTED: 2017-12-30
PAPER REVISED: 2018-02-14
PAPER ACCEPTED: 2018-02-28
PUBLISHED ONLINE: 2018-09-23
DOI REFERENCE: https://doi.org/10.2298/TSCI171230256W
REFERENCES
  1. Yang, J., et al., Experimental Analysis of Forced Convective Heat Transfer in Novel Structured Packed Beds of Particles, Chemical Engineering Science, 71 (2012), 6, pp. 126-137
  2. Li, L., et al., Numerical Investigation on Band-Broadening Characteristics of an Ordered Packed Bed with Novel Particles, Applied Energy, 185 (2017), Part 2, pp. 2168-2180
  3. Arjun, K. S., Kumar, R., Optimization of Micro Pin-Fin Heat Sink with Staggered Arrangement, Thermal Science, Article in Press (2017), pp. 1-13
  4. Sayehvand, H. O., et al., Numerical Study of Forced Convection Heat Transfer over Three Cylinders in Staggered Arrangement Immersed in Porous Media, Thermal Science, 22 (2018), 1, pp. 467-475
  5. Wang, J. Y., et al., Experimental and Numerical Study on Pressure Drop and Heat Transfer Performance of Grille-Sphere Composite Structured Packed Bed, Applied Energy, Article in Press (2017)
  6. Hassan, Y. A., Dominguez-Ontiveros, E. E., Flow Visualization in a Pebble Bed Reactor Experiment Using PIV and Refractive Index Matching Techniques, Nuclear Engineering & Design, 238 (2008), 11, pp. 3080-3085
  7. Johns, M. L., et al., Local Transitions in Flow Phenomena through Packed Beds Identified by MRI, AIChE Journal, 46 (2000), 11, pp. 2151-2161
  8. Marek, M., Numerical Simulation of a Gas Flow in a Real Geometry of Random Packed Bed of Raschig Rings, Chemical Engineering Science, 161 (2017), Apr., pp. 382-393
  9. Das, S., et al., DNS Study of Flow and Heat Transfer through Slender Fixed-Bed Reactors Randomly Packed with Spherical Particles, Chemical Engineering Science, 160 (2017), Mar., pp. 1-19
  10. Yu, D., Numerical Simulation of Highly Dense Particle Packing under Vibration (in Chinese), Northeastern University, Shenyang, China, 2008.
  11. Oger, L., et al., Voronoi Tessellation of Packings of Spheres: Topological Correlation and Statistics, Philosophical Magazine B, 74 (1996), 2, pp. 177-197
  12. Wu, H., et al., Numerical Simulation of Heat Transfer in Packed Pebble Beds: CFD-DEM Coupled with Particle Thermal Radiation, International Journal of Heat & Mass Transfer, 110 (2017), July, pp. 393-405
  13. Chareyre, B., Cortis, A., Pore-Scale Modeling of Viscous Flow and Induced Forces in Dense Sphere Packings, Transport in Porous Media, 94 (2012), 2, pp. 595-615
  14. Koplik, J., Creeping Flow in Two-Dimensional Networks, Journal of Fluid Mechanics, 130 (1983), May, pp. 468-469
  15. Chu, C. F., Ng, K. M., Flow in Packed Tubes with a Small Tube to Particle Diameter Ratio, AIChE Journal, 35 (1989), 1, pp. 148-158
  16. Larachi, F., et al., X-Ray Micro-Tomography and Pore Network Modeling of Single-Phase Fixed-Bed Reactors, Chemical Engineering Journal, 240 (2014), 6, pp. 290-306
  17. Hannaoui, R., et al., Pore-Network Modeling of Trickle Bed Reactors: Pressure Drop Analysis, Chemical Engineering Journal, 262 (2015), Feb., pp. 334-343
  18. Lee, S. L., Yang, J. H., Modeling of Darcy-Forchheimer Drag for Fluid Flow across a Bank of Circular Cylinders, International Journal of Heat & Mass Transfer, 40 (1997), 13, pp. 3149-3155
  19. Mou, N., et al., Coupled Equivalent Circuit Models for Fluid Flow and Heat Transfer in Large Connected Microchannel Networks - the Case of Oblique Fin Heat Exchangers, International Journal of Heat and Mass Transfer, 102 (2016), Nov., pp. 1056-1072
  20. Peter, I. C., Mann, R., A Network-of-Voids Model to Assess Wall Flow Patterns and Heat Transfer for Low Aspect Ratio Packed-Bed Reactors, International Journal of Chemical Reactor Engineering, 6 (2008), 1, pp. 77-90
  21. Lim, C. S., Ti, H. C., Mixed Specification Problems in Large-Scale Pipeline Networks, Chemical Engineering Journal, 71 (1998), 1, pp. 23-35
  22. Bruus, H., Theoretical Microfluidics, Oxford University Press, Oxford, United Kingdom, 2008