TY  - JOUR
AU  - Arsenijević, Zorana
AU  - Grbavčić, Željko
AU  - Garić Grulović, Radmila
AU  - Bošković-Vragolović, Nevenka
PY  - 2010
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/721
AB  - Experimental results were obtained on the steady settling of spheres in quiescent media in a range of cylindrical tubes to ascertain the wall effects over a relatively wide range of Reynolds number values. For practical considerations, the retardation effect is important when the ratio of the particle diameter to the tube diameter (lambda) is higher than about 0.05. A new empirical correlation is presented which covers a Reynolds number range Re = 53-15,100 and a particle to tube diameter ratio lambda LT 0.88. The absolute mean deviation between the experimental data and the presented correlation was 1.9%. The well-known correlations of Newton, Munroe and Di Felice agree with the presented data reasonably well. For steady settling of spheres in a counter-current water flow, the slip velocity remains practically the same as in quiescent media. However, for rising spheres in a co-current water flow, the slip velocity decreases with increasing co-current water velocity, i.e., the wall factor decreases with increasing co-current water velocity. Consequently, the drag coefficient for rising particles in co-current water flow increases with increasing water velocity.
PB  - Elsevier Science Sa, Lausanne
T2  - Powder Technology
T1  - Wall effects on the velocities of a single sphere settling in a stagnant and counter-current fluid and rising in a co-current fluid
VL  - 203
IS  - 2
SP  - 237
EP  - 242
DO  - 10.1016/j.powtec.2010.05.013
ER  - 

@article{
author = "Arsenijević, Zorana and Grbavčić, Željko and Garić Grulović, Radmila and Bošković-Vragolović, Nevenka",
year = "2010",
abstract = "Experimental results were obtained on the steady settling of spheres in quiescent media in a range of cylindrical tubes to ascertain the wall effects over a relatively wide range of Reynolds number values. For practical considerations, the retardation effect is important when the ratio of the particle diameter to the tube diameter (lambda) is higher than about 0.05. A new empirical correlation is presented which covers a Reynolds number range Re = 53-15,100 and a particle to tube diameter ratio lambda LT 0.88. The absolute mean deviation between the experimental data and the presented correlation was 1.9%. The well-known correlations of Newton, Munroe and Di Felice agree with the presented data reasonably well. For steady settling of spheres in a counter-current water flow, the slip velocity remains practically the same as in quiescent media. However, for rising spheres in a co-current water flow, the slip velocity decreases with increasing co-current water velocity, i.e., the wall factor decreases with increasing co-current water velocity. Consequently, the drag coefficient for rising particles in co-current water flow increases with increasing water velocity.",
publisher = "Elsevier Science Sa, Lausanne",
journal = "Powder Technology",
title = "Wall effects on the velocities of a single sphere settling in a stagnant and counter-current fluid and rising in a co-current fluid",
volume = "203",
number = "2",
pages = "237-242",
doi = "10.1016/j.powtec.2010.05.013"
}

Arsenijević, Z., Grbavčić, Ž., Garić Grulović, R.,& Bošković-Vragolović, N.. (2010). Wall effects on the velocities of a single sphere settling in a stagnant and counter-current fluid and rising in a co-current fluid. in Powder Technology
Elsevier Science Sa, Lausanne., 203(2), 237-242.
https://doi.org/10.1016/j.powtec.2010.05.013

Arsenijević Z, Grbavčić Ž, Garić Grulović R, Bošković-Vragolović N. Wall effects on the velocities of a single sphere settling in a stagnant and counter-current fluid and rising in a co-current fluid. in Powder Technology. 2010;203(2):237-242.
doi:10.1016/j.powtec.2010.05.013 .

Arsenijević, Zorana, Grbavčić, Željko, Garić Grulović, Radmila, Bošković-Vragolović, Nevenka, "Wall effects on the velocities of a single sphere settling in a stagnant and counter-current fluid and rising in a co-current fluid" in Powder Technology, 203, no. 2 (2010):237-242,
https://doi.org/10.1016/j.powtec.2010.05.013 . .

TY  - JOUR
AU  - Garić Grulović, Radmila
AU  - Grbavčić, Željko
AU  - Bošković-Vragolović, Nevenka
AU  - Arsenijević, Zorana
PY  - 2009
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/606
AB  - Wall-to-bed mass transfer in the hydraulic transport of spherical glass particles was studied. The experiments were performed by transporting spherical glass particles 1.20, 1.94 and 2.98 mm in diameter with water in a 25.4 mm I.D. tube. The mass transfer coefficients were determined by following rate of dissolution of a segment of the transport tube prepared from benzoic acid. In the runs in hydraulic transport, the Reynolds number of the tube varied between 1826 and 27597. The loading ratio (Gp/Gf) was between 0.026 and 0.474, and the fluid superficial velocity was between 0.267 · Ut and 4.904 · Ut, where Ut represents the single particle terminal velocity. For these ratios, the voidage ranged from 0.7123 to 0.9228. Also, wall-to-bed mass transfer in the single phase flow regime was studied. In the runs without particles, the Reynolds number of the tube varied between 122 and 39132. The data for the mass transfer factor (jD) in single phase flow are correlated for turbulent flow regime, using the Chilton-Colburn's type equations, jD = f(Re). Those investigations were conducted in aim to compare with results for wall-to-bed mass transfer in hydraulic transport. The data for wall-to-bed mass transfer (jD) in hydraulic transport of spherical particles were correlated by treating the flowing fluid-particle suspension as a pseudofluid, by introducing a modified suspension-wall friction coefficient (fw) and a modified Reynolds number (Rem). The data for wall-to-bed mass transfer in the hydraulic transport of particles show that an analogy between mass and momentum transfer exists.
T2  - Powder Technology
T1  - Mass transfer in vertical liquid-solids flow of coarse particles
VL  - 189
IS  - 1
SP  - 130
EP  - 136
DO  - 10.1016/j.powtec.2008.06.010
ER  - 

@article{
author = "Garić Grulović, Radmila and Grbavčić, Željko and Bošković-Vragolović, Nevenka and Arsenijević, Zorana",
year = "2009",
abstract = "Wall-to-bed mass transfer in the hydraulic transport of spherical glass particles was studied. The experiments were performed by transporting spherical glass particles 1.20, 1.94 and 2.98 mm in diameter with water in a 25.4 mm I.D. tube. The mass transfer coefficients were determined by following rate of dissolution of a segment of the transport tube prepared from benzoic acid. In the runs in hydraulic transport, the Reynolds number of the tube varied between 1826 and 27597. The loading ratio (Gp/Gf) was between 0.026 and 0.474, and the fluid superficial velocity was between 0.267 · Ut and 4.904 · Ut, where Ut represents the single particle terminal velocity. For these ratios, the voidage ranged from 0.7123 to 0.9228. Also, wall-to-bed mass transfer in the single phase flow regime was studied. In the runs without particles, the Reynolds number of the tube varied between 122 and 39132. The data for the mass transfer factor (jD) in single phase flow are correlated for turbulent flow regime, using the Chilton-Colburn's type equations, jD = f(Re). Those investigations were conducted in aim to compare with results for wall-to-bed mass transfer in hydraulic transport. The data for wall-to-bed mass transfer (jD) in hydraulic transport of spherical particles were correlated by treating the flowing fluid-particle suspension as a pseudofluid, by introducing a modified suspension-wall friction coefficient (fw) and a modified Reynolds number (Rem). The data for wall-to-bed mass transfer in the hydraulic transport of particles show that an analogy between mass and momentum transfer exists.",
journal = "Powder Technology",
title = "Mass transfer in vertical liquid-solids flow of coarse particles",
volume = "189",
number = "1",
pages = "130-136",
doi = "10.1016/j.powtec.2008.06.010"
}

Garić Grulović, R., Grbavčić, Ž., Bošković-Vragolović, N.,& Arsenijević, Z.. (2009). Mass transfer in vertical liquid-solids flow of coarse particles. in Powder Technology, 189(1), 130-136.
https://doi.org/10.1016/j.powtec.2008.06.010

Garić Grulović R, Grbavčić Ž, Bošković-Vragolović N, Arsenijević Z. Mass transfer in vertical liquid-solids flow of coarse particles. in Powder Technology. 2009;189(1):130-136.
doi:10.1016/j.powtec.2008.06.010 .

Garić Grulović, Radmila, Grbavčić, Željko, Bošković-Vragolović, Nevenka, Arsenijević, Zorana, "Mass transfer in vertical liquid-solids flow of coarse particles" in Powder Technology, 189, no. 1 (2009):130-136,
https://doi.org/10.1016/j.powtec.2008.06.010 . .

TY  - JOUR
AU  - Grbavčić, Željko
AU  - Arsenijević, Zorana
AU  - Garić Grulović, Radmila
PY  - 2009
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/604
AB  - Single particle settling velocities through water fluidized beds of mono-sized glass spheres (dp = 0.645, 1.20, 1.94, 2.98 and 5 mm in diameter) were studied experimentally using a column, 40 mm in diameter. The settling spherical particles (Dp = 10 and 19.5 mm) had different densities (1237 to 8320 kg/m3), while the settling particles (Dp = 5 and 2.98 mm) were glass spheres. The pseudo-fluid model, which considers a liquid fluidized bed as a homogenous pseudo-fluid, predicts single particle settling velocities quite well if the ratio Dp/dp is larger than about 10. With decreasing ratio Dp/dp, the overall friction between the settling particle and the fluidized media increases. A method for predicting single particle settling velocities through a liquid fluidized bed is proposed and discussed. Following the approach of Van der Wielen et al. [L.A.M. Van der Wielen, M.H.H Van Dam, K.C.A.M. Van Luyben, On the relative motion of a particle in a swarm of different particles, Chem. Eng. Sci. 51 (2006) 995-1008], the overall friction is decomposed into a particle-fluid and a particle-particle component. The effective buoyancy force is calculated using the transition function proposed by Ruzicka [M.C. Ruzicka, On buoyancy in dispersion, Chem. Eng. Sci. 61 (2006) 2437-2446]. A simple model for predicting the collision force is proposed, as well as a correlation for the collision coefficient. The mean absolute deviation between the experimental and calculated slip velocities was 5.08%.
T2  - Powder Technology
T1  - Prediction of single particle settling velocities through liquid fluidized beds
VL  - 190
IS  - 3
SP  - 283
EP  - 291
DO  - 10.1016/j.powtec.2008.08.005
ER  - 

@article{
author = "Grbavčić, Željko and Arsenijević, Zorana and Garić Grulović, Radmila",
year = "2009",
abstract = "Single particle settling velocities through water fluidized beds of mono-sized glass spheres (dp = 0.645, 1.20, 1.94, 2.98 and 5 mm in diameter) were studied experimentally using a column, 40 mm in diameter. The settling spherical particles (Dp = 10 and 19.5 mm) had different densities (1237 to 8320 kg/m3), while the settling particles (Dp = 5 and 2.98 mm) were glass spheres. The pseudo-fluid model, which considers a liquid fluidized bed as a homogenous pseudo-fluid, predicts single particle settling velocities quite well if the ratio Dp/dp is larger than about 10. With decreasing ratio Dp/dp, the overall friction between the settling particle and the fluidized media increases. A method for predicting single particle settling velocities through a liquid fluidized bed is proposed and discussed. Following the approach of Van der Wielen et al. [L.A.M. Van der Wielen, M.H.H Van Dam, K.C.A.M. Van Luyben, On the relative motion of a particle in a swarm of different particles, Chem. Eng. Sci. 51 (2006) 995-1008], the overall friction is decomposed into a particle-fluid and a particle-particle component. The effective buoyancy force is calculated using the transition function proposed by Ruzicka [M.C. Ruzicka, On buoyancy in dispersion, Chem. Eng. Sci. 61 (2006) 2437-2446]. A simple model for predicting the collision force is proposed, as well as a correlation for the collision coefficient. The mean absolute deviation between the experimental and calculated slip velocities was 5.08%.",
journal = "Powder Technology",
title = "Prediction of single particle settling velocities through liquid fluidized beds",
volume = "190",
number = "3",
pages = "283-291",
doi = "10.1016/j.powtec.2008.08.005"
}

Grbavčić, Ž., Arsenijević, Z.,& Garić Grulović, R.. (2009). Prediction of single particle settling velocities through liquid fluidized beds. in Powder Technology, 190(3), 283-291.
https://doi.org/10.1016/j.powtec.2008.08.005

Grbavčić Ž, Arsenijević Z, Garić Grulović R. Prediction of single particle settling velocities through liquid fluidized beds. in Powder Technology. 2009;190(3):283-291.
doi:10.1016/j.powtec.2008.08.005 .

Grbavčić, Željko, Arsenijević, Zorana, Garić Grulović, Radmila, "Prediction of single particle settling velocities through liquid fluidized beds" in Powder Technology, 190, no. 3 (2009):283-291,
https://doi.org/10.1016/j.powtec.2008.08.005 . .

TY  - JOUR
AU  - Garić Grulović, Radmila
AU  - Bošković-Vragolović, Nevenka
AU  - Grbavčić, Željko
AU  - Arsenijević, Zorana
PY  - 2008
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/387
AB  - Wall-to-bed heat transfer in hydraulic transport and in particulate fluidized beds of spherical particles was studied. Experiments were performed by spherical glass particles of 0.80-2.98 mm in diameter with water in a 25.4 mm I.D. cooper tube equipped with a steam jacket. In the hydraulic transport runs the Reynolds number varied between 3300 and 20150 (particles of 1.20,1.94 and 2.98 mm in diameter), while in particulate fluidized beds Reynolds number varied between 1960 and 7850 (particles of 0.80, 1.10 and 1.94 mm in diameter). The influence of different parameters as liquid velocity, particles size and voidage on heat transfer in fluidized beds and in hydraulic transport are presented. In our hydraulic transport experiments, the two characteristic flow regimes were observed: "turbulent" and "parallel" flow. Our experimental data show that the heat transfer coefficients in "turbulent" regime are much higher then in "parallel" flow, and the heat transfer coefficients is generally higher while the flow is in fluidized bed. The data for heat transfer in particulate fluidized beds and for vertical hydraulic transport were correlated treating the flowing fluid-particle mixture as a pseudo fluid. New correlation for heat transfer factor in fluidized beds and in vertical hydraulic transport is proposed.
PB  - Oxford : Pergamon-Elsevier Science Ltd
T2  - International Journal of Heat and Mass Transfer
T1  - Wall-to-bed heat transfer in vertical hydraulic transport and in particulate fluidized beds
VL  - 51
IS  - 25-26
SP  - 5942
EP  - 5948
DO  - 10.1016/j.ijheatmasstransfer.2008.03.030
ER  - 

@article{
author = "Garić Grulović, Radmila and Bošković-Vragolović, Nevenka and Grbavčić, Željko and Arsenijević, Zorana",
year = "2008",
abstract = "Wall-to-bed heat transfer in hydraulic transport and in particulate fluidized beds of spherical particles was studied. Experiments were performed by spherical glass particles of 0.80-2.98 mm in diameter with water in a 25.4 mm I.D. cooper tube equipped with a steam jacket. In the hydraulic transport runs the Reynolds number varied between 3300 and 20150 (particles of 1.20,1.94 and 2.98 mm in diameter), while in particulate fluidized beds Reynolds number varied between 1960 and 7850 (particles of 0.80, 1.10 and 1.94 mm in diameter). The influence of different parameters as liquid velocity, particles size and voidage on heat transfer in fluidized beds and in hydraulic transport are presented. In our hydraulic transport experiments, the two characteristic flow regimes were observed: "turbulent" and "parallel" flow. Our experimental data show that the heat transfer coefficients in "turbulent" regime are much higher then in "parallel" flow, and the heat transfer coefficients is generally higher while the flow is in fluidized bed. The data for heat transfer in particulate fluidized beds and for vertical hydraulic transport were correlated treating the flowing fluid-particle mixture as a pseudo fluid. New correlation for heat transfer factor in fluidized beds and in vertical hydraulic transport is proposed.",
publisher = "Oxford : Pergamon-Elsevier Science Ltd",
journal = "International Journal of Heat and Mass Transfer",
title = "Wall-to-bed heat transfer in vertical hydraulic transport and in particulate fluidized beds",
volume = "51",
number = "25-26",
pages = "5942-5948",
doi = "10.1016/j.ijheatmasstransfer.2008.03.030"
}

Garić Grulović, R., Bošković-Vragolović, N., Grbavčić, Ž.,& Arsenijević, Z.. (2008). Wall-to-bed heat transfer in vertical hydraulic transport and in particulate fluidized beds. in International Journal of Heat and Mass Transfer
Oxford : Pergamon-Elsevier Science Ltd., 51(25-26), 5942-5948.
https://doi.org/10.1016/j.ijheatmasstransfer.2008.03.030

Garić Grulović R, Bošković-Vragolović N, Grbavčić Ž, Arsenijević Z. Wall-to-bed heat transfer in vertical hydraulic transport and in particulate fluidized beds. in International Journal of Heat and Mass Transfer. 2008;51(25-26):5942-5948.
doi:10.1016/j.ijheatmasstransfer.2008.03.030 .

Garić Grulović, Radmila, Bošković-Vragolović, Nevenka, Grbavčić, Željko, Arsenijević, Zorana, "Wall-to-bed heat transfer in vertical hydraulic transport and in particulate fluidized beds" in International Journal of Heat and Mass Transfer, 51, no. 25-26 (2008):5942-5948,
https://doi.org/10.1016/j.ijheatmasstransfer.2008.03.030 . .