CFD study of fluid flow and wall heat transfer in a fixed bed of spheres

A study is presented of the relationship between the local flow field and the local wall heat flux in a packed bed of spheres. Computational fluid dynamics is used as a tool for obtaining the detailed velocity and temperature fields, for gas flowing through a periodic wall segment test cell. Results from the wall segment are demonstrated to reproduce those obtained from a full bed of spheres with tube-to-particle diameter ratio of N = 4. Attempts to correlate the local wall heat flux with local properties of the flow field, such as velocity components, velocity gradients, and components of vorticity, led to the conclusion that local heat transfer rates do not correlate statistically with the local flow field. Instead, a conceptual analysis was used to suggest that local patterns of wall heat flux are related to larger-scale flow structures in the bed. © 2004 American Institute of Chemical Engineers AIChE J, 50: 906–921, 2004

[1]  Gary Edward Mueller,et al.  Numerical simulation of packed beds with monosized spheres in cylindrical containers , 1997 .

[2]  Hugo A. Jakobsen,et al.  A numerical study of the interactions between viscous flow, transport and kinetics in fixed bed reactors , 2002 .

[3]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[4]  S. Orszag,et al.  Renormalization group analysis of turbulence. I. Basic theory , 1986 .

[5]  Anthony G. Dixon,et al.  Computational fluid dynamics studies of fixed bed heat transfer , 1998 .

[6]  Robert S. Bernard,et al.  Simulation of flow through bead packs using the lattice Boltzmann method , 1998 .

[7]  Harry A. Dwyer,et al.  Three-dimensional calculations of the simple shear flow around a single particle between two moving walls , 1995 .

[8]  Anthony G. Dixon,et al.  Comparison of CFD simulations to experiment for convective heat transfer in a gas-solid fixed bed , 2001 .

[9]  J.A.M. Kuipers,et al.  Computational fluid dynamics applied to chemical reaction engineering , 1998 .

[10]  Y. W. Li,et al.  CFD-calculation of flow, dispersion and reaction in a catalyst filled tube by the lattice Boltzmann method , 2001 .

[11]  H.P.A. Calis,et al.  CFD modelling and experimental validation of pressure drop and flow profile in a novel structured catalytic reactor packing , 2001 .

[12]  C. McGreavy,et al.  Fluid flow and heat transfer past two spheres in a cylindrical tube , 1986 .

[13]  G. Eigenberger,et al.  Fluid flow through catalyst filled tubes , 1997 .

[14]  Anthony G. Dixon,et al.  Computational fluid dynamics simulations of fluid flow and heat transfer at the wall-particle contact points in a fixed-bed reactor , 1999 .

[15]  Hermann Nirschl,et al.  Numerische simulation des lokalen Impulsaustausches in Kugelschüttungen , 1998 .

[16]  David R. Noble,et al.  Questions in Fluid Mechanics: Tortuous Micro-Flow in Large Disordered Packed Beds , 1996 .

[17]  Robert F. Boehm,et al.  Flow and heat transfer around a linear array of spheres , 1994 .

[18]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[19]  Evangelos Tsotsas,et al.  A simple and coherent set of coefficients for modelling of heat and mass transport with and without chemical reaction in tubes filled with spheres , 2000 .

[20]  Thomas Zeiser,et al.  Analysis of the flow field and pressure drop in fixed-bed reactors with the help of lattice Boltzmann simulations , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[21]  Anthony G. Dixon,et al.  Computational Fluid Dynamics Studies of the Effects of Temperature-Dependent Physical Properties on Fixed-Bed Heat Transfer , 1998 .

[22]  Timothy F. L. McKenna,et al.  Heat transfer from catalysts with computational fluid dynamics , 1999 .

[23]  Anthony G. Dixon,et al.  DETERMINATION OF THE FIXED BED WALL HEAT TRANSFER COEFFICIENT USING COMPUTATIONAL FLUID DYNAMICS , 1996 .

[24]  Anthony G. Dixon,et al.  CFD as a Design Tool for Fixed-Bed Reactors , 2001 .

[25]  W. Kays,et al.  Turbulent Prandtl number : where are we ? , 1994 .

[26]  Shuichiro Hirai,et al.  Inertial flow structures in a simple‐packed bed of spheres , 2003 .

[27]  C. K. Harris,et al.  Computational Fluid Dynamics for Chemical Reactor Engineering , 1996 .

[28]  Faïçal Larachi,et al.  Pressure drop through structured packings: Breakdown into the contributing mechanisms by CFD modeling , 2003 .

[29]  Lynn F. Gladden,et al.  Flow and dispersion in porous media: Lattice‐Boltzmann and NMR studies , 1999 .

[30]  Vivek V. Ranade,et al.  Computational Flow Modeling for Chemical Reactor Engineering , 2001 .

[31]  D. Vortmeyer,et al.  Measured and modeled superficial flow profiles in packed beds with liquid flow , 1998 .

[32]  Florian Huber,et al.  Numerical simulations of single phase reacting flows in randomly packed fixed-bed reactors and experimental validation , 2003 .

[33]  J. Bode.  Computational fluid dynamics applications in the chemical industry , 1994 .

[34]  W. E. Stewart,et al.  Computation of forced convection in slow flow through ducts and packed beds—III. Heat and mass transfer in a simple cubic array of spheres , 1974 .

[35]  Lynn F. Gladden,et al.  Correlations between local conversion and hydrodynamics in a 3-D fixed-bed esterification process: An MRI and lattice-Boltzmann study , 2003 .