Abstract
The effect of gasification on the dynamics and kinematics of immersed spherical and non-spherical solid particles have been investigated using the three-dimensional lattice Boltzmann method. The gasification was performed by applying mass injection on particle surface for three cases: flow passing by a fixed sphere, rotating ellipsoid in simple shear flow, and a settling single sphere in a rectangular domain. In addition, we have compared the accuracy of employing two different fluid–solid interaction methods for the particle boundary. The validity of the gasification model was studied by comparing computed the mass flux from the simulation and the calculated value on the surface of the particle. The result was used to select a suitable boundary method in the simulations combined with gasification. Moreover, the reduction effect of the ejected mass flux on the drag coefficient of the fixed sphere have been validated against previous studies. In the case of rotating ellipsoid in simple shear flow with mass injection, a decrease on the rate of rotation was observed. The terminal (maximum) velocity of the settling sphere was increased by increasing the ratio of radial flux from the particle boundary.
Article PDF
Similar content being viewed by others
References
Yoshinaga, T., Sato, Y.: Performance of an air-lift pump for conveying coarse particles. Int. J. Multiph. Flow 22, 223–238 (1983)
Hironaka, S., FujiSawa, Y., Manabe, S., Inoue, G., Matsukuma, Y., Minemoto, M.: Estimation of the multi phase flow on the vertical pipe for the methane hydrate recovery. J. Novel Carbon Resour. Sci. 3, 11–16 (2011)
de Souza-santos, M.L.: Solid Fuels Combustion and Gasification Modeling, Simulation, and Equipment Operation, 1st edn. Marcel Dekker Inc., New York (2004)
Brenner, H.: The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Eng. Sci. 16, 242–251 (1961)
Bergougnoux, L., Bouchet, G., Lopez, D., Guazzelli, E.: The motion of solid spherical particles falling in a cellular flow field at low Stokes number. Phys. Fluids 26, 093302 (2014)
Strack, Erik: O., Cook, B.K.: Three-dimensional immersed boundary conditions for moving solids in the lattice-Boltzmann method. Int. J. Numer. Methods Fluids 55, 103125 (2007)
Ten Cate, A., Nieuwstad, C.H., Derksen, J.J., Van der Akker, H.E.: Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluid 14, 11 (2002)
Fornari, W., Picano, F., Brandt, L.: Sedimentation of finite-size spheres in quiescent and turbulent environments. J. Fluid Mech. 788, 640–669 (2016)
Ding, E.J., Aidun, C.K.: The dynamics and scaling law for particles suspended in shear flow with inertia. J. Fluid Mech. 423, 317344 (2000)
Zettner, C.M., Yoda, M.: Moderate-aspect-ratio elliptical cylinders in simple shear with inertia. J. Fluid Mech. 442, 241266 (2001)
Xia, Z., Connington, K.W., Rapaka, S., Yue, P., Feng, J.J., Chen, S.: Flow patterns in the sedimentation of an elliptical particle. J. Fluid Mech. 625, 249272 (2009)
Huang, H., Yang, X., Krafczyk, M., Lu, X.Y.: Rotation of spheroidal particles in Couette flows. J. Fluid Mech. 692, 369–394 (2012)
Rosen, T., Lundell, F., Aidun, C.K.: Effect of fluid inertia on the dynamics and scaling of neutrally buoyant particles in shear flow. J. Fluid Mech. 738, 563–590 (2014)
Rosen, T., Do-Quang, M., Aidun, C.K., Lundell, F.: The dynamical states of a prolate spheroidal particle suspended in shear flow as a consequence of particle and fluid inertia. J. Fluid Mech. 771, 115–158 (2015)
Chuchottaworn, P., Fujinami, A., Asano, K.: Numerical analysis of the effect of mass injection or suction on drag coefficients of a sphere. J. Chem. Eng. Jpn. 16, 18–24 (1996)
Kurose, R., Makino, H., Komori, S., Nakamura, M., Akamatsu, F., Katsuki, M.: Effect of outflow from the surface of the sphere on drag, shear lift, and scalar diffusion. Phys. Fluid 15, 2338 (2003)
Kishore, N., Patnana, V.K., Chhabra, R.P.: Flow of power-law liquids past a solid sphere with and without radial mass flux at moderate Reynolds numbers. J. Chem. Eng. Jpn. 42, 545–554 (2009)
Feng, J., Hu, H.H., Joseph, D.D.: Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1. Sedimentation. J. Fluid Mech. 261, 95–134 (1994)
Feng, J., Hu, H.H., Joseph, D.D.: Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. J. Fluid Mech. 277, 271–301 (1994)
Peskin, C.S.: The immersed boundary method. Acta Numer. 11, 479517 (2002)
Fadlun, E.A., Verzicco, R., Orlandi, P., Mohd-Yusof, J.: Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161, 35–60 (2000)
Kim, J., Kim, D., Choi, H.: An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171, 132–150 (2001)
Prosperetti, A.: Life and death by boundary conditions. J. Fluid Mech. 768, 1–4 (2015)
Ladd, A.J.C.: Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoritical foundation. J. Fluid Mech. 271, 285–309 (1994)
Ladd, A.J.C.: Numerical simulations of particulate suspensions via a discretized Boltzmann equation, Part 2. Numerical results. J. Fluid Mech. 271, 311 (1994)
Aidun, C.K.: LU, Y., Ding, E.J.: Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. J. Fluid Mech. 373, 287–311 (1998)
Chen, Y., Cai, K., Xia, Z., Wang, M., Chen, S.: Momentum-exchange method in lattice Boltzmann simulation of particle-fluid interaction. Phys. Rev. E 88, 013303 (2013)
Caiazzo, A., Junk, M.: Boundary forces in lattice Boltzmann: analysis of momentum exchange algorithm. J. Comput. Math. Appl. 55, 1415–1423 (2008)
Bouzidi, M., Firdaouss, M., Lallemand, P.: Momentum transfer of a Boltzmann-lattice fluids with boundaries. Phys. Fluids 13, 3452–3459 (2001)
Yu, D., Mei, R., Shyy, W.: A unified boundary treatment in lattice Boltzmann method. 41st Aerospace Sciences Meeting and Exhibit, Vol. 1, AIAA 2003-953 (2003)
Yin, X., Le, G., Zhang, J.: Mass and momentum transfer across solid-fluid boundaries in the lattice-Boltzmann method. Phys. Rev. E. 86, 026701 (2012)
Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94(3), 511 (1954)
Strack, O.E., Cook, B.K.: Three-dimensional immersed boundary conditions for moving solids in the lattice-Boltzmann method. Int. J. Numer. Methods Fluids 55, 103–125 (2007)
Allen, M.P., Tildesley, D.J.: Computer Simulation of Liquids, 2nd edn. Oxford University Press, New York (1989)
Zhao, F., van Wachem, B.G.M.: A novel Quaternion integration approach for describing the behaviour of non-spherical particles. Acta Mech. 224, 3091–3109 (2013)
Ziegler, D.P.: Boundary conditions for lattice Boltzmann simulations. J. Stat. Phys. 71, 1171–1177 (1993)
Ginzbourg, I., Alder, P.M.: Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II, France 4, 191–214 (1994)
Chen, L., Yu, Y., Lu, J., Hou, G.: A comparative study of lattice Boltzmann methods using bounce-back schemes and immersed boundary ones for flow acoustic problems. Int. J. Numer. Methods Fluids 74, 439–467 (2014)
Abraham, F.: Functional dependence of drag coefficient of a sphere on Reynolds number. Phys. Fluids 13, 2194 (1970)
Nikrityuk, P.A., Meyer, B.: Gasification Processes Modeling and Simulation, 1st edn. Wiley-VCH Verlag GmbH & Co., Weinheim (2014)
Hölzer, A., Sommerfeld, M.: Lattice Boltzmann simulations to determine drag, lift and torque acting on non-spherical particles. Comput. Fluids 38, 572–589 (2009)
Jeffery, J.B.: The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. 102, 1 (1922)
Yu, Z., Fan, L.S.: Lattice Boltzmann method for simulating particle-fluid interaction. Particuology 8, 539–543 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Moradi Nour, Z., Amberg, G. & Do-Quang, M. Kinematics and dynamics of suspended gasifying particle. Acta Mech 228, 1135–1151 (2017). https://doi.org/10.1007/s00707-016-1748-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-016-1748-5