PNEUMATIC CONVEYING OF SOLIDS ALONG A CHANNEL WITH DIFFERENT WALL ROUGHNESS

References

• Adam , O. ( 1960 ). Untersuchungen über die Vorgänge in festoffbeladenen Gasströmungen , Westdeutscher Verlag , Köln .
   Google Scholar
• Dennis , S. C. R. , Singh , S. N. , and Ingham , D. B. (1980). The steady flow due to a rotating sphere at low and moderate Reynolds numbers, J. Fluid Mech. , 101, 257–279.
   Web of Science ®Google Scholar
• Fokeer , S. , Kingman , S. , Lowndes , I. , and Reynolds , A. ( 2004 ). Characterisation of the cross sectional particle concentration distribution in horizontal dilute flow conveying—A review , Chem. Eng. Process. , 43 , 677 – 691 .
   Web of Science ®Google Scholar
• Göz , M. F. , Laín , S. , and Sommerfeld , M. ( 2004 ). Study of the numerical instabilities in Lagrangian tracking of bubbles and particles in two-phase flow , Comput. Chem. Eng. , 28 , 2727 – 2733 .
   Web of Science ®Google Scholar
• Göz , M. F. , Sommerfeld , M. , and Laín , S. ( 2006 ). Instabilities in Lagrangian tracking of bubbles and particles in two-phase flow , AIChE J. , 52 , 469 – 477 .
   Web of Science ®Google Scholar
• Jones , W. P. ( 1994 ). Turbulence modeling and numerical solution methods for variable density flows , in: Turbulent Reacting Flows , ed. P. Libby and F. Williams , 309 – 347 , Academic Press , San Diego , Calif .
   Google Scholar
• Jones , W. P. , and Musonge , P. ( 1988 ). Closure of the Reynolds stress and scalar flux equations , Phys. Fluids , 31 , 3589 – 3604 .
   Web of Science ®Google Scholar
• Kannengieser , O. , Konan , A. , and Simonin , O. ( 2007 ). Influence of multiple particle-wall collision on rough wall bouncing model, in Proceedings of ICMF 2007, 6th International Conference on Multiphase Flow, Leipzig, Germany, July 9–13. CD-ROM.
   Google Scholar
• Kohnen , G. , and Sommerfeld , M. ( 1997 ). The effect of turbulence modelling on turbulence modification in two-phase flows using the Euler–Lagrange approach, in Proceedings of the 11th Symposium on Turbulent Shear Flows, Grenoble (France), vol. 2, P3, 23–28.
   Google Scholar
• Kohnen , G. , Rüger , M. , and Sommerfeld , M. ( 1994 ). Convergence behaviour for numerical calculations by the Euler/Lagrange method for strongly coupled phases , in: Numerical Methods for Multiphase Flows , 191 – 202 , American Society of Mechanical Engineers , New York .
   Google Scholar
• Kussin , J. , and Sommerfeld , M. ( 2002 ). Experimental studies on particle behaviour and turbulence modification in horizontal channel flow with different wall roughness , Exp. Fluids , 33 , 143 – 159 .
   Web of Science ®Google Scholar
• Laín , S. ( 2010 ). On Modeling and Numerical Computation of Industrial Disperse Two-Phase Flow with the Euler-Lagrange Approach , 11 – 25 , Shaker Verlag , Aachen , Germany .
   Google Scholar
• Laín , S. , and Aliod , R. ( 2000 ). Study of the Eulerian dispersed phase equations in non-uniform turbulent two-phase flows: Discussion and comparison with experiments , Int. J. Heat Fluid Flow , 21 , 374 – 380 .
   Web of Science ®Google Scholar
• Laín , S. , and Aliod , R. ( 2003 ). Discussion of second order dispersed phase Eulerian equations applied to turbulent particle-laden jet flows , Chem. Eng. Sci. , 58 , 4527 – 4535 .
   Web of Science ®Google Scholar
• Laín , S. , and García , J. A. ( 2006 ). Study of four-way coupling on turbulent particle-laden jet flows , Chem. Eng. Sci. , 61 , 6775 – 6785 .
   Web of Science ®Google Scholar
• Laín , S. , Sommerfeld , M. , and Kussin , J. ( 2002 ). Experimental studies and modelling of four-way coupling in particle-laden horizontal channel flow , Int. J. Heat Fluid Flow , 23 , 647 – 656 .
   Web of Science ®Google Scholar
• Laín , S. , García , M. , Avellan , F. , Quintero , B. , and Orrego , S. ( 2011 ). Numerical Simulation of Francis Turbines , 35 – 46 , EAFIT, Universidad Autónoma de Occidente , Medellín , Cali , Colombia . (in Spanish) .
   Google Scholar
• Loth , E. ( 2008 ). Lift of a solid spherical particle subject of vorticity and/or spin , AIAA J. , 46 , 801 – 809 .
   Google Scholar
• Mei , R. ( 1992 ). An approximate expression for the shear lift force on a spherical particle at finite Reynolds number , Int. J. Multiphase Flow , 18 , 145 – 147 .
   Web of Science ®Google Scholar
• Oesterlé , B. , and Bui Dinh , T. ( 1998 ). Experiments on the lift of a spinning sphere in a range of intermediate Reynolds numbers , Exp. Fluids , 25 , 16 – 22 .
   Web of Science ®Google Scholar
• Rubinow , S. I. , and Keller , J. B. ( 1961 ). The transverse force on a spinning sphere moving in a viscous liquid , J. Fluid Mech. , 11 , 447 – 459 .
   Web of Science ®Google Scholar
• Saffman , P. G. ( 1965 ). The lift on a small sphere in a shear flow , J. Fluid Mech. , 22 , 385 – 400 .
   Web of Science ®Google Scholar
• Schiller , L. , and Naumann , A. ( 1933 ). Über die grundlegenden Berechnungen bei der Schwerkraftaufbereitung , Z. Ver. Deut. Ing. , 77 , 318 – 320 .
   Google Scholar
• Shima , N. (1998). Low-Reynolds-number second-moment closure without wall-reflection redistribution terms, Int. J. Heat Fluid Flow , 19, 549–555.
   Web of Science ®Google Scholar
• Sommerfeld , M. ( 2001 ). Validation of a stochastic Lagrangian modeling approach for inter-particle collisions in homogeneous isotropic turbulence , Int. J. Multiphase Flow , 27 , 1829 – 1858 .
   Web of Science ®Google Scholar
• Sommerfeld , M. ( 2003 ). Analysis of collision effects for turbulent gas-particle flow in a horizontal channel: Part I. Particle transport , Int. J. Multiphase Flow , 29 , 675 – 699 .
   Web of Science ®Google Scholar
• Sommerfeld , M. , and Huber , N. ( 1999 ). Experimental analysis and modelling of particle-wall collision , Int. J. Multiphase Flow , 25 , 1457 – 1489 .
   Web of Science ®Google Scholar
• Sommerfeld , M. , and Kussin , J. ( 2004 ). Wall roughness effects on pneumatic conveying of spherical particles in a narrow horizontal channel , Powder Technol. , 142 , 180 – 192 .
   Web of Science ®Google Scholar
• Tsuji , Y. , Morikawa , Y. , Tanaka , T. , Nakatsukasa , N. , and Nadatani , M. ( 1987 ). Numerical simulation of gas-solid two-phase flow in a two-dimensional horizontal channel , Int. J. Multiphase Flow , 13 , 671 – 684 .
   Web of Science ®Google Scholar
• Yilmaz , A. , and Levy , E. K. ( 2001 ). Formation and dispersion of ropes in pneumatic conveying , Powder Technol. , 114 , 168 – 185 .
   Web of Science ®Google Scholar