Abstract
A numerical method is proposed for computing flow variables in an enclosed domain with arbitrarily shaped particles. A technique for achieving an optimal load distribution in parallel computations is described. The gas flow through a cubic pack of nonspherical particles of given shape is computed.
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M. A. Mujeebu, M. Z. Abdullah, M. Z. Abu Bakar, A. A. Mohamad, M. K. Abdullah, “Applications of porous media combustion technology: A review,” Appl. Energy 86(9), 1365–1375 (2009).
Y.-S. Chen, S.-S. Hsiau, S.-C. Lai, Y.-P. Chyou, H.-Y. Li, and C.-J. Hsu, “Filtration of dust particulates with a moving granular bed filter,” J. Hazardous Materials 171(1–3), 987–994 (2009).
L. Li and W. Ma, “Experimental study on the effective particle diameter of a packed bed with non-spherical particles,” Trans. Porous Media 89(1), 35–48 (2011).
M. Jamialahmadi, H. Müller-Steinhagen, and M. R. Izadpanah, “Pressure drop, gas hold-up and heat transfer during single and two-phase flow through porous media,” Int. J. Heat Fluid Flow 26(1), 156–172 (2005).
A. Guardo, M. Coussirat, M. A. Larrayoz, F. Recasens, E. Egusquiza, “Influence of the turbulence model in CFD modeling of wall-to-fluid heat transfer in packed beds,” Chem. Eng. Sci. 60(6), 1733–1742 (2005).
M. A. Mujeebu, M. Z. Abdullah, A. A. Mohamad, and M. Z. Abu Bakar, “Trends in modeling of porous media combustion,” Progress Energy Combustion Sci. 36(6), 627–650 (2010).
G. Brenner, K. Pickenacker, O. Pickenacker, D. Trimis, K. Wawrzinek, and T. Weber, “Numerical and experimental investigation of matrix-stabilized methane/air combustion in porous inert media,” Combust. Flame 123(1–2), 201–213 (2000).
M. Sahraoui and M. Kaviany, “Direct simulation versus volume-averaged treatment of adiabatic, premixed flame in a porous medium,” Int. J. Heat Mass Transfer 37(18), 2817–2834 (1994).
R. Caulkin, X. Jia, M. Fairweather, and R. A. Williams, “Lattice approaches to packed column simulations,” Particuology 6(6), 404–411 (2008).
A. G. Dixon, M. Nijemeisland, and E. H. Stitt, “Packed tubular reactor modeling and catalyst design using computational fluid dynamics,” Adv. Chem. Eng. 31, 307–389 (2006).
H. Freund, T. Zeiser, F. Huber, E. Klemm, G. Brenner, F. Durst, G. Emig, “Numerical Simulations of single phase reacting flows in randomly packed fixed-bed reactors and experimental validation,” Chem. Eng. Sci. 58(3), 903–910 (2003).
J. L. Steger and J. A. Benek, “On the use of composite grid schemes in computational aerodynamics,” Comput. Meth. Appl. Mech. Eng 64, 301–320 (1987).
H. S. Tang, S. C. Jones, and F. Sotiropoulos, “An overset-grid method for 3D unsteady incompressible flows,” J. Comput. Phys. 191(2), 567–600 (2003).
E. Ahusborde and S. Glockner, “An implicit method for the Navier-Stokes equations on overlapping block-structured grids,” Int. J. Numer. Meth. Fluids 62(7), 784–801 (2010).
L. Ge, S. C. Jones, F. Sotiropoulos, T. M. Healy, A. P. Yoganathan, “Numerical simulation of flow in mechanical heart valves: Grid resolution and the assumption of flow symmetry,” J. Biomech. Eng. 125(5), 709–718 (2003).
Y. Li, K. -J. Paik, T. Xing, and P. M. Carrica, “Dynamic overset CFD simulations of wind turbine aerodynamics,” Renewable Energy 37(1), 285–298 (2012).
A. T. Fedorchenko, “Numerical investigation of unsteady subsonic viscous gas flows in a plane channel with a sudden expansion,” Fluid Dyn. 23(4), 509–517 (1988).
A. M. Lipanov, “Method for the numerical solution of fluid dynamics equations in multiply connected domains (first report),” Mat. Model. 18(12), 3–18 (2006).
I. G. Rusyak, M. M. Gorokhov, and S. M. Kolosov, “Formulation of a three-dimensional incompressible flow problem in curvilinear coordinates,” Intellekt. Sist. Proizvodstve, No. 1, 68–93 (2006).
V. M. Verzhbitskii, Fundamentals of Numerical Methods (Vysshaya Shkola, Moscow, 2002) [in Russian].
D. Li and X. Sun, Nonlinear Integer Programming (Springer, New-York, 2006).
A. Hölzer and M. Sommerfeld, “New simple correlation formula for the drag coefficient of non-spherical particles,” Powder Tech. 184(3), 361–365 (2008).
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Original Russian Text © A.N. Semakin, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 3, pp. 488–501.
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Semakin, A.N. Numerical simulation of gas flows through a cubic pack of nonspherical particles. Comput. Math. and Math. Phys. 55, 487–499 (2015). https://doi.org/10.1134/S096554251503015X
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DOI: https://doi.org/10.1134/S096554251503015X