Verification of sub-grid filtered drag models for gas-particle fluidized beds with immersed cylinder arrays

Abstract The accuracy of coarse-grid multiphase CFD simulations of fluidized beds may be improved via the inclusion of filtered constitutive models. In our previous study ( Sarkar et al., 2013 Chem. Eng. Sci., 104, pp. 399–412), we developed such a set of filtered drag relationships for beds with immersed arrays of cooling tubes. Verification of these filtered drag models is addressed in this work. Predictions from coarse-grid simulations with the sub-grid filtered corrections are compared against accurate, highly-resolved simulations of full-scale turbulent and bubbling fluidized beds. The filtered drag models offer a computationally efficient yet accurate alternative for obtaining macroscopic predictions, but the spatial resolution of meso-scale clustering heterogeneities is sacrificed.

[1]  Kapil Agrawal,et al.  Filtered models for scalar transport in gas–particle flows , 2013 .

[2]  Olivier Simonin,et al.  Development of filtered Euler–Euler two-phase model for circulating fluidised bed: High resolution simulation, formulation and a priori analyses , 2013 .

[3]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[4]  Sankaran Sundaresan,et al.  Filtered models for reacting gas-particle flows , 2012, 1204.6053.

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

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

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

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

[9]  Madhava Syamlal,et al.  MFIX documentation numerical technique , 1998 .

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

[11]  Xin Sun,et al.  Sub-grid drag models for horizontal cylinder arrays immersed in gas-particle multiphase flows , 2013 .

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

[13]  Kapil Agrawal,et al.  Filtered two‐fluid models of fluidized gas‐particle flows: New constitutive relations , 2013 .

[14]  Dimitri Gidaspow,et al.  Analysis of IGT pneumatic conveying data and fast fluidization using a thermohydrodynamic model , 1979 .

[15]  Jinghai Li,et al.  The EMMS model - its application, development and updated concepts , 1999 .

[16]  M. Syamlal,et al.  MFIX documentation theory guide , 1993 .

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

[18]  Sankaran Sundaresan,et al.  Constitutive Models for Filtered Two-Fluid Models of Fluidized Gas–Particle Flows , 2011 .

[19]  Tingwen Li,et al.  Cartesian grid simulations of bubbling fluidized beds with a horizontal tube bundle , 2011 .

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

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

[22]  C. Wen.  Mechanics of Fluidization , 1966 .

[23]  Tingwen Li,et al.  Cartesian grid simulations of gas–solids flow systems with complex geometry , 2013 .

[24]  Todd Pugsley,et al.  Simulation and experimental validation of a freely bubbling bed of FCC catalyst , 2003 .

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