Continuous Plug Flow and Discrete Particle Phase Coupling Using Triangular Parcels
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32807
Continuous Plug Flow and Discrete Particle Phase Coupling Using Triangular Parcels

Authors: Anders Schou Simonsen, Thomas Condra, Kim Sørensen

Abstract:

Various processes are modelled using a discrete phase, where particles are seeded from a source. Such particles can represent liquid water droplets, which are affecting the continuous phase by exchanging thermal energy, momentum, species etc. Discrete phases are typically modelled using parcel, which represents a collection of particles, which share properties such as temperature, velocity etc. When coupling the phases, the exchange rates are integrated over the cell, in which the parcel is located. This can cause spikes and fluctuating exchange rates. This paper presents an alternative method of coupling a discrete and a continuous plug flow phase. This is done using triangular parcels, which span between nodes following the dynamics of single droplets. Thus, the triangular parcels are propagated using the corner nodes. At each time step, the exchange rates are spatially integrated over the surface of the triangular parcels, which yields a smooth continuous exchange rate to the continuous phase. The results shows that the method is more stable, converges slightly faster and yields smooth exchange rates compared with the steam tube approach. However, the computational requirements are about five times greater, so the applicability of the alternative method should be limited to processes, where the exchange rates are important. The overall balances of the exchanged properties did not change significantly using the new approach.

Keywords: CFD, coupling, discrete phase, parcel.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1474545

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 559

References:


[1] E. A. Foumeny and H. Pahlevanzadeh, Evaluation of Plug Flow Assumption in Packed Beds, Chemical Engineering & Technology, Volume 13, Issue 1, 1990.
[2] K. Brown and W. Kalata and Rudolf Schick, Optimization of SO2 Scrubber using CFD Modeling, Procedia Engineering, Volume 83, 2014, Pages 170-180.
[3] A. G. Bailey and W. Balachandran and T. J. Williams, The Rosin-Rammler size distribution for liquid droplet ensembles, Journal of Aerosol Science, Volume 14, Issue 1, 1983, Pages 39-46.
[4] N. A. Patankar and D. D. Joseph, Modeling and numerical simulation of particulate flows by the Eulerian–Lagrangian approach, International Journal of Multiphase Flow, Volume 27, Issue 10, October 2001, Pages 1659-1684.
[5] ANSYS Inc. ANSYS Fluent User’s Guide,
[6] S. Pirker and D. Kahrimanovic and C. Goniva, Improving the applicability of discrete phase simulations by smoothening their exchange fields, Applied Mathematical Modelling, Volume 35, Issue 5, May 2011, Pages 2479-2488.
[7] P. P. Brown and D. F. Lawler, Sphere Drag and Settling Velocity Revisited, 3rd ed. Journal of Environmental Engineering, Volume 129, Issue 3, March 2003.
[8] S. Whitaker, Forced convection heat transfer correlations for flow in pipes, past flat plates, single cylinders, single spheres, and flow in packed beds and tube bundles, AIChE Journal, Volume 18, Issue 2, March 1972.
[9] P. R. Smith, Bilinear interpolation of digital images, Ultramicroscopy, Volume 6, Issue 2, 1981, Pages 201-204.
[10] Mathworks, Profiler documentation, http://mathworks.com/help/ matlab/ref/profile.html.