Quantitative assessment of fine-grid kinetic-theory-based predictions of mean-slip in unbounded fluidization

Significance The quantitative ability of a kinetic-theory-based, two-fluid model is demonstrated in a clustering (unstable) gas-solid system via highly resolved simulations. Unlike previous works, this assessment is validated against ideal computational fluid dynamics-discrete element method data to minimize sources of discrepancy. Overall, good agreement in mean-slip velocities is observed with relative errors less than 20% over a mean solids concentration range of 0.02–0.25. Local concentration gradient distributions are also studied, showing a distinct shift toward higher gradients at higher mean solids concentrations which is proposed as the bottleneck in obtaining grid-independence rather than the cluster length scale. © 2015 American Institute of Chemical Engineers AIChE J, 2015

[1]  Francine Battaglia,et al.  Effects of using two- versus three-dimensional computational modeling of fluidized beds: Part I, hydrodynamics , 2008 .

[2]  William J. Koves,et al.  Kinetic theory based CFD simulation of turbulent fluidization of FCC particles in a riser , 2006 .

[3]  Wei Ge,et al.  Structure-dependent drag in gas–solid flows studied with direct numerical simulation , 2014 .

[4]  Sreekanth Pannala,et al.  Validation Studies on Filtered Model Equations for Gas-Particle Flows in Risers , 2012 .

[5]  Jinghai Li,et al.  Multiscale nature of complex fluid-particle systems , 2001 .

[6]  Stefan Radl,et al.  A drag model for filtered Euler–Lagrange simulations of clustered gas–particle suspensions , 2014 .

[7]  J. Kuipers,et al.  Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres , 2007 .

[8]  Prabhu R. Nott,et al.  Frictional–collisional equations of motion for participate flows and their application to chutes , 1990, Journal of Fluid Mechanics.

[9]  S. Benyahia Validation Study of Two Continuum Granular Frictional Flow Theories , 2008 .

[10]  Madhava Syamlal,et al.  CFD simulations of circulating fluidized bed risers, part I: Grid study , 2014 .

[11]  A. Ladd,et al.  Rheology of suspensions with high particle inertia and moderate fluid inertia , 2003, Journal of Fluid Mechanics.

[12]  Xin Sun,et al.  Verification of sub-grid filtered drag models for gas-particle fluidized beds with immersed cylinder arrays , 2014 .

[13]  Sankaran Sundaresan,et al.  Coarse-Grid Simulation of Gas-Particle Flows in Vertical Risers , 2005 .

[14]  J. Kuipers,et al.  Coarse grid simulation of bed expansion characteristics of industrial-scale gas–solid bubbling fluidized beds , 2010 .

[15]  Dimitri Gidaspow,et al.  Computation of flow patterns in circulating fluidized beds , 1990 .

[16]  Jam Hans Kuipers,et al.  A Lattice-Boltzmann simulation study of the drag coefficient of clusters of spheres , 2006 .

[17]  Wei Ge,et al.  CFD simulation of concurrent-up gas-solid flow in circulating fluidized beds with structure-dependent drag coefficient , 2003 .

[18]  Stefan Pirker,et al.  Filtered and heterogeneity‐based subgrid modifications for gas–solid drag and solid stresses in bubbling fluidized beds , 2014 .

[19]  Donald L. Koch,et al.  Kinetic theory for a monodisperse gas–solid suspension , 1990 .

[20]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

[21]  Wang Shuai,et al.  Modeling of cluster structure-dependent drag with Eulerian approach for circulating fluidized beds , 2011 .

[22]  S. T. Johansen,et al.  An assessment of the ability of computational fluid dynamic models to predict reactive gas–solid flows in a fluidized bed , 2012 .

[23]  Sofiane Benyahia,et al.  Fine-grid simulations of gas-solids flow in a circulating fluidized bed , 2012 .

[24]  Sankaran Sundaresan,et al.  Verification of filtered two‐fluid models for gas‐particle flows in risers , 2011 .

[25]  Wei Wang,et al.  Simulation of gas-solid two-phase flow by a multi-scale CFD approach - Extension of the EMMS model to the sub-grid level , 2007 .

[26]  Arthur T. Andrews,et al.  Filtered two‐fluid models for fluidized gas‐particle suspensions , 2008 .

[27]  D. Koch,et al.  Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: kinetic theory and numerical simulations , 1999, Journal of Fluid Mechanics.

[28]  H. Deconinck,et al.  Design principles for bounded higher-order convection schemes - a unified approach , 2007, J. Comput. Phys..

[29]  Jam Hans Kuipers,et al.  Why the two-fluid model fails to predict the bed expansion characteristics of Geldart A particles in gas-fluidized beds: A tentative answer , 2009 .

[30]  Moses O. Tadé,et al.  Effect of a cluster on gas-solid drag from Lattice Boltzmann simulations , 2012 .

[31]  S. Benyahia,et al.  Estimation of Numerical Errors Related to Some Basic Assumptions in Discrete Particle Methods , 2010 .

[32]  Christine M. Hrenya,et al.  Kinetic-theory predictions of clustering instabilities in granular flows: beyond the small-Knudsen-number regime , 2013, Journal of Fluid Mechanics.

[33]  Junwu Wang,et al.  High-resolution Eulerian simulation of RMS of solid volume fraction fluctuation and particle clustering characteristics in a CFB riser , 2008 .

[34]  M. Syamlal,et al.  The effect of numerical diffusion on simulation of isolated bubbles in a gas-solid fluidized bed , 2001 .

[35]  Junwu Wang,et al.  A Review of Eulerian Simulation of Geldart A Particles in Gas-Fluidized Beds , 2009 .

[36]  J. D. Wilde,et al.  Reformulating and quantifying the generalized added mass in filtered gas-solid flow models , 2005 .

[37]  Anuj Srivastava,et al.  Analysis of a frictional-kinetic model for gas-particle flow , 2003 .

[38]  Sankaran Sundaresan,et al.  Do we need sub-grid scale corrections for both continuum and discrete gas-particle flow models? , 2012 .

[39]  Wei Wang,et al.  Searching for a mesh-independent sub-grid model for CFD simulation of gas–solid riser flows , 2009 .

[40]  S. Sundaresan,et al.  The role of meso-scale structures in rapid gas–solid flows , 2001, Journal of Fluid Mechanics.

[41]  Stefan Pirker,et al.  Comparative analysis of subgrid drag modifications for dense gas‐particle flows in bubbling fluidized beds , 2013 .

[42]  Asit Kumar Das,et al.  Effect of Clustering on Gas−Solid Drag in Dilute Two-Phase Flow , 2004 .

[43]  Goodarz Ahmadi,et al.  A kinetic model for rapid granular flows of nearly elastic particles including interstitial fluid effects , 1988 .

[44]  Olivier Simonin,et al.  A functional subgrid drift velocity model for filtered drag prediction in dense fluidized bed , 2012 .

[45]  Sofiane Benyahia On the Effect of Subgrid Drag Closures , 2010 .

[46]  C. Hrenya,et al.  Enskog kinetic theory for monodisperse gas–solid flows , 2012, Journal of Fluid Mechanics.