(215a) Semi-Empirical Drag Correlation for a Gas Solid Vortex Reactor Starting from the Radial Momentum Balances
All fields are compulsory
Fluidization, Particle Technology
Semi-empirical drag correlation for a Gas Solid Vortex Reactor starting from the radial momentum balances
Friedle, M; Niyogi, K; Torregrosa Galindo, M.M.; Heynderickx, G.J., Marin, G.B.
Preferred presentation method
Particle Technology Forum
03B06 Fundamentals of Fluidization I
Semi-empirical drag correlation
for a Gas Solid Vortex Reactor starting from the radial momentum balances
M; Niyogi, K; Torregrosa Galindo, M.M.; Heynderickx*, G.J., Marin,
Laboratory for Chemical
Technology, Department of Chemical Engineering, Ghent University,
Technologiepark 914, B-9052 Gent, Belgium
The Gas Solid Vortex Reactor
(GSVR) is a novel rotating fluidized bed reactor with a stationary geometry, in
which the gravitational force in conventional fluidized bed is replaced by a
centrifugal force resulting in process intensification1.
In a GSVR a stable solids bed can be obtained for high gas flow rates thereby
increasing the slip velocity between the phases. Consequently, the overall heat
and mass transfer increases as to compared to a gravitational fluidized bed2, 3. The GSVR is a disc-like chamber where the process gas is introduced
through a series of azimuthally inclined injection slots, uniformly distributed
along the circumferential chamber wall. Inside the chamber the gas swirls
towards the unidirectional central gas exhaust. When particles are fed inside
this swirling flow field the gas transfers part of its momentum to the
particles. The particles start to rotate in the chamber and form a stable,
dense, rotating bed at the circumferential wall (Fig. 1). The rotational motion
generates a radially outward directed centrifugal force on the particles. The
injected gas flowing through the solid bed towards the unidirectional central gas
exhaust generates a counteracting radially inward directed drag force on the
particles. The GSVR compiles a unique set of characteristics typical for reactor
technologies that combine high gas-solid slip velocities, good particle mixing
and continuous operation under dense bed conditions4.
As such, the GSVR technology has already been considered for different
applications, like drying of biomass5,
biomass pyrolysis1, SO2-NOx adsorption from
flue gases6 or nuclear rocket fuel propulsion7.
As no universal understanding of
the in-depth hydrodynamics of the GSVR technology is readily available, scaling
and design of industrially-sized GSVRs are difficult up-to-date. An in-depth
understanding of a technology often comes from a first principles approach. A first
step in understanding of the multiphase hydrodynamics in the GSVR based on the
radial momentum balances is aimed at in the present study.
An extensive set of experimental
data has been collected by different researchers2,
3, 8, 9 over the past years in an experimental semi-batch GSVR setup at
the Laboratory for Chemical Technology. The investigated range of operations
spans a wide range of gas flow rates, particle sizes, particle densities and
bed masses. The experimental data is used to verify the assumptions made and to
determine the model parameters of the semi-empirical drag formulation.
Following some simplifying
assumptions, like neglecting the weight of the gas, the wall force and
particle-particle interaction, the radial solids and gas momentum balances are
The resulting one-dimensional,
averaged equation shows that the pressure drop over the bed height balances the
centrifugal force of the bed. Here describes the
radial height of the bed, the overall
volume of the bed, the mass of the
bed and the outer
radius of the unit. The azimuthal solids velocity is averaged
over the height of the bed.
Pressure drop over a conventional
fluidized bed is usually estimated using semi-empirical correlations for the
11. In the present work a semi-empirical correlation for the radial drag
force on the GSVR bed is developed, starting from the well-known correlations
for single-particle drag12.
The resulting correlation is:
The correlation parameters are
obtained through linear regression of the available experimental data sets. The
parity plot for equation 3 is shown in Figure 3. The radial Reynolds number and
the centrifugal Archimedes number are calculated from equations 4 and 5, where is the gas
Using this modeling approach a more
fundamental understanding of the interaction between gas and particles in a
dense rotating bed is obtained. The absence of the void fraction as a classic
modeling parameter, states that the gas interacts with every particle in the
same way and that particle-particle interaction is minimal. In this respect the
GSVR differs from conventional fluidization technologies operating in the dense
bed regime, confirming the appropriateness of the GSVR for innovative industrial
work was supported by the European Research Council under the European
Unions Seventh Framework Program (FP7/2007-2013) / ERC grant agreement n°
1. Ashcraft RW, Heynderickx GJ, Marin GB, 2012. Modeling fast biomass
pyrolysis in a gas-solid vortex reactor. Chemical Engineering Journal 207,
RP, Suryawanshi VU, Heynderickx GJ, de Broqueville A, Marin GB, 2011.
Experimental investigation of a gassolid rotating bed reactor with static
geometry. Chemical Engineering and Processing: Process Intensification 50,
JZ, Pantzali MN, Heynderickx GJ, Marin GB, 2014. Bed stability and maximum
solids capacity in a Gas-Solid Vortex Reactor: Experimental study. Chemical
Engineering Science 106, 293-303.
Wilde J, 2014. Gassolid fluidized beds in vortex chambers. Chemical
Engineering and Processing: Process Intensification 85, 256-90.
P, De Wilde J, 2013. Drying of Biomass Particles: Experimental Study and
Comparison of the Performance of a Conventional Fluidized Bed and a Rotating
Fluidized Bed in a Static Geometry. Drying Technology 31, 236-45.
RW, Kovacevic J, Heynderickx GJ, Marin GB, 2013. Assessment of a Gas-Solid
Vortex Reactor for SO2/NOx Adsorption from Flue Gas. Ind Eng Chem Res 52,
W. A study of fluid dynamics of gaseous nuclear rocketsQuarterly Progress
Report, July 1-September 30, 1968. Massachusetts Inst. of Tech., Cambridge,
MN, Kovacevic JZ, Heynderickx GJ, Marin GB, 2015. Radial Pressure
Proﬁles in a Cold-Flow Gas-Solid Vortex Reactor. AIChE Journal 61,
JZ, Pantzali MN, Niyogi K, Deen NG, Heynderickx GJ, Marin GB, 2015. Solids velocity
fields in a cold-flow GasSolid Vortex Reactor. Chemical Engineering Science
LG, Di Felice R, Waldram SP, Foscolo PU, 1985. Generalized friction factor and
drag coefficient correlations for fluid-particle interactions. Chemical
Engineering Science 40, 1817-23.
S, 1952. Fluid flow through packed columns. Chem Eng Prog 48, 89-94.
12. Gidaspow D, 1994. Multiphase Flow and
Fluidization. Academic Press, Boston.
1. A schematic representation of the Gas-Solid Vortex Reactor2
2. Plot for the centrifugal force of the bed and the force exerted by the
pressure on the bed (Equation 1).
3. Parity plot for the semi-empirical correlation for the particle-gas
interaction in the GSVR (Equation 3).