Implementation of an iterative solution procedure for multi-fluid gas-particle flow models on unstructured grids

Powder Technology

Volumn 213, Issue 1, 2011, Pages 174-187

  Passalacqua, A ^a   Fox, R O ^a  

^a Iowa State University   (United States)

Author keywords

Computational fluid dynamics; Fluidised bed; Gas particle flow; Granular flow; Kinetic theory; Multiphase flow

Indexed keywords

DISCRETISATION; DISPERSED PHASE; EFFECTIVE DENSITY; FLUIDISED BED; FRICTIONAL STRESS; GAS-PARTICLE FLOWS; GRANULAR FLOW; IMPLICIT TREATMENT; ITERATIVE PROCEDURES; ITERATIVE SOLUTIONS; MOMENTUM EQUATION; MOMENTUM INTERPOLATION; MULTI-FLUIDS; NUMERICAL SOLUTION; OPEN-SOURCE CODE; PARTICLE PHASE; PARTICLE PRESSURE; PHASE COUPLING; POLYHEDRAL CELLS; SOURCE TERMS; STAGGERED GRID; STEEP GRADIENTS; TEST CASE; UNSTRUCTURED GRID;

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; FLOW OF SOLIDS; FLUIDIZATION; FLUIDIZED BEDS; GAS DYNAMICS; INTERPOLATION; KINETIC THEORY; MULTIPHASE FLOW; OPEN SYSTEMS;

FLUIDS;

ALGORITHM; ARTICLE; BUBBLING FLUIDIZED BED; COLLISION; FLOW KINETICS; FLUIDIZED BED; FRICTION; FRICTIONAL STRESS; GAS FLOW; GAS PARTICLE FLOW; MATHEMATICAL MODEL; MOMENTUM EQUATION; PARTICLE PRESSURE; PHYSICAL PHENOMENA; PRESSURE; SUSPENSION; THEORY; TURBULENCE;

EID: 80052099166     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2011.07.030     Document Type: Article

References (68)

1. Gidaspow D., Tsuo Y.P., Luo K.M. Computed and experimental cluster formation and velocity profiles in circulating fluidized beds. Fluidization IV 1989, 81-88. Engineering Foundation, New York. J.C. Grace, L.W. Schemilt, G. Sun (Eds.).
2. Tsuo Y.P., Gidaspow D. Computation of flow patterns in circulating fluidized beds. AICHE J. 1990, 86:886-896.
3. Simonin O., Deutsch E., Minier J.P. Eulerian prediction of the fluid-particle correlated motion in turbulent two-phase flows. Appl. Sci. Res. 1993, 52(1-2):275-283.
4. Ocone R., Sundaresan S., Jackson R. Gas-particle flow in a duct of arbitrary inclination with particle-particle interactions. AICHE J. 1993, 39:1261-1271.
5. Syamlal M., Rogers W., O'Brien T.J. MFIX Documentation: Theory guide, Tech. Rep. DOE/METC-9411004, NTIS/DE9400087 1993, National Technical Information Service, Springfield, V.A.
6. Gidaspow D. Multiphase Flow and Fluidization 1994, Academic Press, New York. 1st Edition.
7. Knowlton T., Geldart D., Matsen J., King D. Comparison of cfb hydrodynamic models. PSRI challenge problem. VIII International Fluidization Conference, Tour France May 1995.
8. Bolio E.J., Sinclair J.L. Gas turbulence modulation in the pneumatic conveying of massive particles in vertical tubes. Int. J. Multiph. Flow 1995, 21(6):985-1001.
9. Hrenya C.M., Sinclair J.L. Effects of particle-phase turbulence in gas-solid flows. AICHE J. 1997, 43(4):853-869.
10. Boemer A., Qi H., Renz U. Verification of Eulerian simulation of spontaneous bubble formation in a fluidized bed. Chem. Eng. Sci. 1998, 53:1835-1846.
11. Benyahia S., Arastoopour H., Knowlton T.M., Massah H. Simulation of particles and gas flow behavior in the riser section of a circulating fluidized bed using the kinetic theory approach for the particulate phase. Powder Technol. 2000, 112:24-33.
12. Arastoopour H. Numerical simulation and experimental analysis of gas/solid flow systems: 1999 Fluor-Daniel plenary lecture. Powder Technol. 2001, 119:59-67.
13. C.H. Ibsen, An experimental and computational study of gas-particle flow in circulating fluidised reactors, Ph.D. thesis, Aalborg University - Faculty of Engineering and Science, Group for Chemical Fluid Flow Processes - Department of Chemistry and Applied Engineering Science - Aalborg University Esbjerg - Niels Bohrs Vej 8 - DK-6700 Esbjerg, Denmark (2002).
14. Peirano E., Delloume V., Johnsson F., Leckner B., Simonin O. Numerical simulation of the fluid dynamics of a freely bubbling fludized bed: influence of the air supply system. Powder Technol. 2002, 122:69-82.
15. Huilin L., Gidaspow D. Hydrodynamics of binary fluidization in a riser: CFD simulation using two granular temperatures. Chem. Eng. Sci. 2003, 58:3777-3792.
16. Ibsen C.H., Helland E., Hjertager B.H., Solberg T., Tadrist L., Ocelli R. Comparison of multifluid and discrete particle modelling in numerical predictions of gas particle flow in circulating fluidised beds. Powder Technol. 2004, 149:29-41.
17. De Wilde J., Van Engelandt G., Heynderickx G.J., Marin G.B. Gas-solids mixing in the inlet zone of a diluite circulating fluidized bed. Powder Technol. 2005, 151:96-116.
18. Patil D.J., van Sint Annaland M., Kuipers J.A.M. Critical comparison of hydrodynamic models for gas-solid fluidized beds - Part I: bubbling gas-solid fluidized beds operated with a jet. Chem. Eng. Sci. 2005, 60:57-72.
19. Hjertager B.H. Multi-fluid CFD analysis of chemical reactors. Multiphase Reacting Flows: Modelling and Simulation, No. 492 in CISM International Centre for Mechanical Sciences 2006, 125-179. Springer. D.L. Marchisio, R.O. Fox (Eds.).
20. pθ two-fluid model. Chem. Eng. Sci. 2001, 56:6813-6822.
21. Ishii M. Thermo-fluid Dynamic Theory of Two-Phase Flow 1975, Eyrolles, Paris.
22. Drew D.A. Continuum modeling of two-phase flows. Theory of Dispersed Multiphase Flow 1983, 173-190. Academic Press. R. Meyer (Ed.).
23. Enwald H., Peirano E., Almstedt A.E. Eulerian two-phase flow theory applied to fluidization. Int. J. Multiph. Flow 1996, 22:21-66.
24. Jenkins J.T., Savage S.B. A theory of the rapid flow of identical, smooth, nearly elastic spherical particles. J. Fluid Mech. 1983, 130:187-202.
25. Schaeffer D.G. Instability in the evolution equations describing incompressible granular flow. J. Differ. Equ. 1987, 66:19-50.
26. Johnson P.C., Jackson R. Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J. Fluid Mech. 1987, 176:67-93.
27. Srivastava A., Sundaresan S. Analysis of a frictional-kinetic model for gas-particle flow. Powder Technol. 2003, 129:72-85.
28. Oliveira J.P., Issa R.I. Numerical aspects of an algorithm for Eulerian simulation of two-phase flows. Int. J. Numer. Methods Fluids 2003, 43:1177-1198.
29. Park I.K., Cho H.K., Yoon H.Y., Jeong J.J. Numerical effects of the semi-conservative form of momentum equations for multi-dimensional two-phase flows. Nucl. Eng. Des. 2009, 239:2365-2371.
30. Spalding D. Numerical computation of multi-phase fluid flow and heat transfer. Recent Advances in Numerical Methods in Fluids 1980, Pineridge Press. C. Taylor (Ed.).
31. Spalding D.B. Developments in the IPSA procedure for numerical computation of multiphase-flow phenomena with interphase slip, unequal temperatures, etc. Hemisphere 1983, 421-436. T.M. Shih (Ed.).
32. Oliveira P.J., Issa R.I. On the numerical treatment of interphase forces in two-phase flow. ASME 1994, Vol. 185.
33. Mathiesen V., Solberg T., Hjertager B.H. Predictions of gas/particle flow with an Eulerian model including realistic particle size distribution. Powder Technol. 2000, 112:34-45.
34. Karema H., Lo S. Efficiency of interphase coupling algorithms in fluidized bed conditions. Comput. Fluids 1999, 28:323-360.
35. Vasquez S.A., Ivanov V.A. A phase coupled method for solving multiphase problems on unstructured meshes. Proceedings of ASME FEDSM'00: ASME 2000 Fluids Engineering Summer Meeting, Boston 2000.
36. Syamlal M. MFIX Documentation Numerical Technique, Tech. Rep. DOE/MC31346-5824 (DE98002029), EG&G Technical Services of West Virginia, Inc. - U.S 1998, Department of Energy Office of Fossil Energy, Morgantown, West Virginia.
37. Weller H.G. Derivation, modelling and solution of the conditionally averaged two-phase flow equations. Tech. rep. 2005, OpenCFD Ltd., United Kingdom.
38. H. Karema, Numerical treatment of inter-phase coupling and phasic pressures in multi-fluid modelling, Ph.D. thesis, VTT Technical Research Centre of Finland (2002).
39. Johansen S.T., Laux H. Second International Conference on Multiphase Flow, Kyoto, Japan 1995.
40. Laux H., Ytrehus T. Computer simulation and experiments on two-phase flow in an inclined sedimentation vessel. Powder Technol. 1997, 94:35-49.
41. M. Goldschmidt, Hydrodynamic modelling of fluidised bed spray granulation, Ph.D. thesis, Twente University (2001).
42. van Sint Annaland M., Bokkers G.A., Goldschmidt M.J.V., Olaofe O.O., van der Hoef M.A., Kuipers J.A.M. Development of a multi-fluid model for poly-disperse dense gas-solid fluidised beds, Part I: Model derivation and numerical implementation. Chem. Eng. Sci. 2009, 64:4222-4236.
43. Patankar S.V. Numerical Heat Transfer and Fluid Flow 1980, Hemisphere, Washington D. C.
44. Ferziger J.H., Peric M. Computational Methods for Fluid Dynamics 2002, Springer.
45. Moukalled F., Darwish M., Sekar B. A pressure-based algorithm for multi-phase flow at all speeds. J. Comput. Phys. 2003, 190:550-571.
46. Guelfi A., Bestion D., Boucker M., Boundier P., Fillion P., Grandotto M., Herard J.M., Hervieu E., Peturaud P. NEPTUNE: a new software platform for advanced thermal hydraulics. Nucl. Sci. Eng. 2007, 156:281-324.
47. Rhie C.M., Chow W.L. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA J. 1983, 21:1525-1532.
48. Zhang S., Zhao X. General formulations for Rhie-Chow Interpolation. 2004 ASME Heat Transfer/Fluids Engineering Summer Conference, no. HT-FED04-56274, Charlotte, North Carolina, USA 2004, 567-573.
49. OpenCFD OpenFOAM - The Open Source CFD Toolbox - User's Guide 2010, OpenCFD Ltd., United Kingdom. 1st Edition.
50. OpenCFD OpenFOAM - The Open Source CFD Toolbox - Programmer's Guide 2010, OpenCFD Ltd., United Kingdom. 1st Edition.
51. H. Rusche, Computational fluid dynamics of dispersed two-phase flows at high phase fractions, Ph.D. thesis, Imperial College, London (2002).
52. Wen C.Y., Yu Y.H. Mechanics of fluidization. Chem. Eng. Prog. S. Ser. 1966, 62:100-111.
53. Schiller L., Naumann A. Uber die grundlengenden Berechungen bei Schwerkraftaufbereitung. Ver. Dtsch. Ing. 1933, 77:318.
54. Koch D. Kinetic theory for a monodisperse gas-solid suspension. Phys. Fluids A 1990, 2:1711-1723.
55. Koch D.L., Sangani A.S. Particle pressure and marginal stability limits for a homogeneous monodisperse gas fluidized bed: kinetic theory and numerical simulations. J. Fluid Mech. 1999, 400:229-263.
56. Lun C.K.K., Savage S.B. The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials. Acta Mech. 1986, 63:15-44.
57. Ogawa S., Umemura A., Oshima N. On the equation of fully fluidized granular materials. Z. Angew. Math. Phys. 1980, 31:483-493.
58. Carnahan N.F., Starling K.E. Equation of state for nonattracting rigid spheres. J. Chem. Phys. 1969, 51:635-636.
59. Passalacqua A., Marmo L. A critical comparison of frictional stress models applied to the simulation of bubbling fluidized beds. Chem. Eng. Sci. 2009, 12:2795-2806.
60. H. Jasak, Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. thesis, Imperial College of Science, Technology and Medicine, London (1996).
61. Sweby P.K. High resolution schemes using flux-limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 1984, 21:995-1011.
62. Snider D.M. An incompressible three-dimensional multiphase particle-in-cell model for dense particle flows. J. Comp. Phys. 2001, 170:523-549.
63. Parmentier J.F., Simonin O., Delsart O. A numerical study of fluidization behavior of Geldart B, A/B and A particles using an Eulerian multifluid modeling approach. Circulating Fluidized Bed Technology IX, Hamburg, Germany 2008.
64. Open MPI documentation http://www.open-mpi.org/doc/v1.4/.
65. Karypis G., Kumar V. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 1999, 20:359-392.
66. Pellegrini F., Roman J. SCOTCH: a software package for static mapping by dual recursive bipartitioning of process and architecture graphs. HPCN'96 1996, 493-498. Springer.
67. Silva L.F., Lage P.L.C. Implementation of an Eulerian multi-phase model in OpenFOAM and its applications to polydisperse two-phase flows. OpenFOAM International Conference, Old Windsor, UK 2007.
68. L.F.L.R. Silva, P. L.C. Lage, Development and implementation of a polydispersed multiphase flow model in OpenFOAM, Comput. Chem. Eng. Doi: 10.1016/j.compchemeng.2011.04.011.