A generalized segregation and dispersion model for liquid-fluidized beds

Patel, Bharatkumar K.; Ramirez, W. Fred; Galvin, K.P.

doi:10.1016/j.ces.2007.12.010

Cited by 16 publications

(11 citation statements)

References 25 publications

(72 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nevertheless, the experimental data and the numerical modeling results reported in the literature consistently reveal the same trend of solid concentration variation in the transition zone, as shown in Figure . For data in the region close to the top surface of the bed where the solid concentration is decreasing due to hydrodynamic instabilities have been excluded.…”

Section: Model Developmentsupporting

confidence: 76%

“…For high superficial liquid velocities ( U sf > 0.042 m/s), an obvious drop‐off in the experimental data of the concentration profile of the low density species, as also raised by Galvin et al and Patel et al, leads to the deviation between the prediction results (using both the present model and Galvin et al's model) and the experimental data. This drop‐off of solid concentration of the low density species is attributed to the hydrodynamic instabilities of the solid‐liquid two‐phase flow in the upper region of the bed.…”

Section: Resultsmentioning

confidence: 51%

“…Kennedy and Bretton described that the segregation potential existing between two particle species in the transition zone was counterbalanced by the dispersion of solid particles, and an equilibrium state could be reached when the particle convective flux was volumetrically equal to the particle dispersive flux. This relationship established between the particle convection and dispersion has become the basic foundation that underpins many other models developed in the past several decades to predict the segregation and mixing behavior of particle species in liquid fluidized beds . Most of the models were shown to be capable of providing a good description of solid distribution in liquid fluidized beds for the operating conditions examined in their studies.…”

Section: Theory and Backgroundmentioning

confidence: 99%

“…The adjustment of the values of the two parameters allows for multiple solutions of the solid concentration distribution of the particle species. Moreover, the previous models often involved adjustable parameters and strongly rely on the availability of the experimental data . The value of the adjustable parameters was generally obtained by best fitting the experimental data.…”

Section: Theory and Backgroundmentioning

confidence: 99%

“…A transition zone that contains both particle species 1 and 2 is formed between the two mono‐component zones. Figure depicts the schematic of the binary‐solid liquid system at the equilibrium state, which can be simply characterized by the length ( h ) of each zone and the axial distribution of solid concentration of each particle species ( ϕ ) …”

Section: Model Developmentmentioning

confidence: 99%

See 4 more Smart Citations

A simple model for predicting solid concentration distribution in binary‐solid liquid fluidized beds

2016

View full text Add to dashboard Cite

A simple mathematical model for predicting the solid concentration profile in binary‐solid liquid fluidized beds is presented. The main assumption is that the solid concentration distribution follows the logistic function, which is supported by the literature. Various equations have been derived to solve key system quantities (e.g., bed expansion height, length and position of the transition zone). In contrast to previous models that often involve adjustable parameters and strongly rely on the availability of experimental data, the present model only requires inputs of fluid and particle properties, operating conditions, and correlations for dispersion and slip velocity. The results showed that the model is applicable to different binary‐solid systems that have size and/or density differences. The model's capability of predicting the layer inversion phenomenon has also been demonstrated. The model is simple but proves capable of accurately predicting key information for the design, operation and scale up of liquid fluidized beds. © 2016 American Institute of Chemical Engineers AIChE J, 63: 469–484, 2017

show abstract

Section: Model Developmentsupporting

confidence: 76%

Section: Resultsmentioning

confidence: 51%

Section: Theory and Backgroundmentioning

confidence: 99%

Section: Theory and Backgroundmentioning

confidence: 99%

Section: Model Developmentmentioning

confidence: 99%

See 3 more Smart Citations

A simple model for predicting solid concentration distribution in binary‐solid liquid fluidized beds

2016

View full text Add to dashboard Cite

show abstract

Liquid–Solid Processes

Wadnerkar

Gunjal

Mishra

2022

Multiphase Flows for Process Industries

View full text Add to dashboard Cite

Particle dispersion and fluctuations in viscous liquid–solid fluidised Beds

et al. 2012

View full text Add to dashboard Cite

Particle dispersion and fluctuations were investigated in a liquid–solid fluidised bed with viscous liquid media by employing the relaxation method based on the stochastic model. The bed expansion or contraction during the transient state was analysed by means of the histogram of pressure drop variation with elapsed time. The relaxation behaviour of the liquid–solid fluidised bed appeared to be heterogeneous followed by homogeneous expansion or contraction. Effects of liquid velocity (UL), particle size (dP), liquid viscosity (µL) and liquid holdup or bed porosity (εL) on the fluctuating frequency (F) and dispersion coefficient (DP) of fluidised solid particles were examined. The values of F and DP increased with an increase in dP but decreased with µL and exhibited local maxima with variations of UL and εL. The flow pattern of solid particles could be changed from uniform or pseudo‐homogeneous to turbulent random behaviour with an increase in the liquid velocity and liquid holdup or bed porosity. © 2012 Canadian Society for Chemical Engineering

show abstract

A generalized segregation and dispersion model for liquid-fluidized beds

Cited by 16 publications

References 25 publications

A simple model for predicting solid concentration distribution in binary‐solid liquid fluidized beds

A simple model for predicting solid concentration distribution in binary‐solid liquid fluidized beds

Liquid–Solid Processes

Particle dispersion and fluctuations in viscous liquid–solid fluidised Beds

Contact Info

Product

Resources

About