Glicksman’s viscous limit set of dimensionless parameters have been investigated using experimentally verified computational fluid dynamics model. Simulations have been performed for the two bubbling fluidized beds with different particle sizes and densities. Dimensionless average pressure drops across the bed height, dimensionless pressure standard deviations and dimensionless relative pressures have been investigated as a function of dimensionless superficial gas velocities for the two beds. Fluctuation of solid volume fraction and contours of solid volume fraction have also been investigated at different dimensionless gas velocities. Time series data of the pressure fluctuation and solid volume fraction are compared. The results indicate that the fluid dynamic similarity between two beds holds up to particle Reynolds number of 15. After this, the bubble activities in the two beds start to deviate significantly. The results of the work show that the analysis of solid volume fraction fluctuation gives higher accuracy than time-series pressure fluctuation when scaling the bubbling fluidized bed within the viscous limit.
fluidized bed, scaling, viscous limit, Glicksman, CFD
 Matsen, J.M., Scale-up of fl uidized bed processes: principle and practice. Powder Technology, 88(3), pp. 237–244, 1996 . doi: http://dx.doi.org/10.1016/S0032-5910(96)03126-9
 Glicksman, L.R., Scaling relationships for fl uidized beds. Chemical Engineering Science, 39(9), pp. 1373–1379, 1984 . doi: http://dx.doi.org/10.1016/0009-2509(84)80070-6
 van Ommen, J.R., et al., Computational validation of the scaling rules for fl uidized bed. Powder Technology, 163, pp. 32–40, 2006 . doi: http://dx.doi.org/10.1016/j.powtec.2006.01.010
 Rüdisüli, M., et al., Scale-up of bubbling fl uidized bed reactors — a review. Powder Technology, 217(0), pp. 21–38, 2012 . doi: http://dx.doi.org/10.1016/j.powtec.2011.10.004
 Glicksman, L.R., Hyre, M. & Woloshun, K., Simplifi ed scaling relationships for fluidized beds. Powder Technology, 77(2), pp. 177–199, 1993 . doi: http://dx.doi.org/10.1016/0032-5910(93)80055-F
 Sanderson, J. & Rhodes, M.J., Hydrodynamic similarity of solids motion and mixing in bubbling fl uidized beds. AIChE Journal, 49(9), pp. 2317–2327, 2003 . doi: http://dx.doi.org/10.1002/aic.690490908
 Stein, M., Ding, Y.L. & Seville, J.P.K., Experimental verifi cation of the scaling relationships for bubbling gas-fl uidised beds using the PEPT technique. Chemical Engineering Science, 57(17), pp. 3649–3658, 2002 . doi: http://dx.doi.org/10.1016/S0009-2509(02)00264-6
 Farrel, P.A., Hydrodynamic Scaling and Solid Mixing in Pressurized Bubbling Fluidized Bed Combustors, Massachusetts Institute of Technology: Massachusetts, 1996 .
 Kunnii, D. & Levenspiel, O., Fluidization Engineering. 2nd edn., Butterworth- Heinemann: USA, 1991 .
 Knowlton, T.M., Karri, S.B.R. & Issangya, A., Scale-up of fl uidized-bed hydrodynamics. Powder Technology, 150(2), pp. 72–77, 2005 . doi: http://dx.doi.org/10.1016/j.powtec.2004.11.036
 Mazzei, L., Eulerian Modelling and Computational Fluid Dynamics Simulation of Mono and Polydisperse Fluidized Suspensions, University College London: UK, 2008 .
 Gidaspow, D., Multiphase Flow and Fluidization, Academic Press Inc.: California, 1994 .
 Thapa, R.K. & Halvorsen, B.M., Validation of CFD model for prediction of fl ow behaviour in fl uidized bed reactor s. WIT Transactions on Engineering Sciences, Vol. 74, WIT Press: Southampton, pp. 231–239, 2012.
 Detamore, M.S., et al., A kinetic theory analysis of the scale-up of circulating fl uidized beds. Powder Technology, 115, pp. 190–203, 2001 . doi: http://dx.doi.org/10.1016/S0032-5910(00)00397-1
 Didwania, A.K. & Catolia, R.J., CFD simulation scale-up of a dual fl uidized bed gasifi er for biomass. Seventh International Conference on CFD in the Minarals and Process Industries, Melbourne, Australlia, 2009 .
 Brown, R.C. & Brue, E., Resolving dynamical features of fl uidized beds from pressure fl uctuations. Powder Technology, 119(2–3), pp. 68–80, 2001 . doi: http://dx.doi.org/10.1016/S0032-5910(00)00419-8
 van Ommen, J.R., et al., Time-series analysis of pressure fl uctuations in gas–solid fl uidized beds – a review. International Journal of Multiphase Flow, 37(5), pp. 403–428, 2011. doi: http://dx.doi.org/10.1016/j.ijmultiphasefl ow.2010.12.00