On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers

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Uittreksel

An accurate and fast simulation of large-scale gas/liquid contact apparatusses, such as bubble columns, is essential for the optimization and further development of many (bio)chemical and metallurgical processes. Since it is not feasible to simulate an entire industrial-scale bubble column in full detail from first principles (direct numerical simulations), higher-level models rely on algebraic closure relations to account for the most important physical phenomena prevailing at the smallest length and time scales, while keeping computational demands low. The most important closure for describing rising bubbles in a liquid is the closure for the drag force, since it dominates the terminal rise velocity of the bubbles. Due to the very high gas loadings used in many industrial processes, bubble–bubble (or ‘swarm’) interactions need to be accounted for in the drag closure. An advanced front-tracking model was employed, which can simulate bubble swarms up to 50% gas hold-up without the problem of (numerical) coalescence. The influence of the gas hold-up for mono-disperse bubble swarms with different bubble diameters (i.e. Eötvös numbers) was quantified in a single drag correlation valid for the intermediate to high Reynolds numbers regime . Also the physical properties of the liquid phase were varied, but the simulation results revealed that the drag force coefficient was independent of the Morton number. The newly developed correlation has been implemented in a larger-scale model, and the effect of the new drag closure on the hydrodynamics in a bubble column is investigated in a separate paper (Lau et al., 2011 Lau, Y., Roghair, I., Deen, N.G., Van Sint Annaland, M., Kuipers, J.A.M. Numerical investigation of the drag closure for bubbles in bubble swarms. Chemical Engineering Science, this issue, doi:10.1016/j.ces.2011.01.053. Lau et al., this issue).
TaalEngels
Pagina's3204-3211
Aantal pagina's8
TijdschriftChemical Engineering Science
Volume66
Nummer van het tijdschrift14
DOI's
StatusGepubliceerd - 2011

Vingerafdruk

Drag
Reynolds number
Bubble columns
Gases
Liquids
Direct numerical simulation
Chemical engineering
Bubbles (in fluids)
Coalescence
Contacts (fluid mechanics)
Hydrodynamics
Physical properties

Citeer dit

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title = "On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers",
abstract = "An accurate and fast simulation of large-scale gas/liquid contact apparatusses, such as bubble columns, is essential for the optimization and further development of many (bio)chemical and metallurgical processes. Since it is not feasible to simulate an entire industrial-scale bubble column in full detail from first principles (direct numerical simulations), higher-level models rely on algebraic closure relations to account for the most important physical phenomena prevailing at the smallest length and time scales, while keeping computational demands low. The most important closure for describing rising bubbles in a liquid is the closure for the drag force, since it dominates the terminal rise velocity of the bubbles. Due to the very high gas loadings used in many industrial processes, bubble–bubble (or ‘swarm’) interactions need to be accounted for in the drag closure. An advanced front-tracking model was employed, which can simulate bubble swarms up to 50{\%} gas hold-up without the problem of (numerical) coalescence. The influence of the gas hold-up for mono-disperse bubble swarms with different bubble diameters (i.e. E{\"o}tv{\"o}s numbers) was quantified in a single drag correlation valid for the intermediate to high Reynolds numbers regime . Also the physical properties of the liquid phase were varied, but the simulation results revealed that the drag force coefficient was independent of the Morton number. The newly developed correlation has been implemented in a larger-scale model, and the effect of the new drag closure on the hydrodynamics in a bubble column is investigated in a separate paper (Lau et al., 2011 Lau, Y., Roghair, I., Deen, N.G., Van Sint Annaland, M., Kuipers, J.A.M. Numerical investigation of the drag closure for bubbles in bubble swarms. Chemical Engineering Science, this issue, doi:10.1016/j.ces.2011.01.053. Lau et al., this issue).",
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On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers. / Roghair, I.; Lau, Y.M.; Deen, N.G.; Slagter, H.M.; Baltussen, M.W.; Sint Annaland, van, M.; Kuipers, J.A.M.

In: Chemical Engineering Science, Vol. 66, Nr. 14, 2011, blz. 3204-3211.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

T1 - On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers

AU - Roghair,I.

AU - Lau,Y.M.

AU - Deen,N.G.

AU - Slagter,H.M.

AU - Baltussen,M.W.

AU - Sint Annaland, van,M.

AU - Kuipers,J.A.M.

PY - 2011

Y1 - 2011

N2 - An accurate and fast simulation of large-scale gas/liquid contact apparatusses, such as bubble columns, is essential for the optimization and further development of many (bio)chemical and metallurgical processes. Since it is not feasible to simulate an entire industrial-scale bubble column in full detail from first principles (direct numerical simulations), higher-level models rely on algebraic closure relations to account for the most important physical phenomena prevailing at the smallest length and time scales, while keeping computational demands low. The most important closure for describing rising bubbles in a liquid is the closure for the drag force, since it dominates the terminal rise velocity of the bubbles. Due to the very high gas loadings used in many industrial processes, bubble–bubble (or ‘swarm’) interactions need to be accounted for in the drag closure. An advanced front-tracking model was employed, which can simulate bubble swarms up to 50% gas hold-up without the problem of (numerical) coalescence. The influence of the gas hold-up for mono-disperse bubble swarms with different bubble diameters (i.e. Eötvös numbers) was quantified in a single drag correlation valid for the intermediate to high Reynolds numbers regime . Also the physical properties of the liquid phase were varied, but the simulation results revealed that the drag force coefficient was independent of the Morton number. The newly developed correlation has been implemented in a larger-scale model, and the effect of the new drag closure on the hydrodynamics in a bubble column is investigated in a separate paper (Lau et al., 2011 Lau, Y., Roghair, I., Deen, N.G., Van Sint Annaland, M., Kuipers, J.A.M. Numerical investigation of the drag closure for bubbles in bubble swarms. Chemical Engineering Science, this issue, doi:10.1016/j.ces.2011.01.053. Lau et al., this issue).

AB - An accurate and fast simulation of large-scale gas/liquid contact apparatusses, such as bubble columns, is essential for the optimization and further development of many (bio)chemical and metallurgical processes. Since it is not feasible to simulate an entire industrial-scale bubble column in full detail from first principles (direct numerical simulations), higher-level models rely on algebraic closure relations to account for the most important physical phenomena prevailing at the smallest length and time scales, while keeping computational demands low. The most important closure for describing rising bubbles in a liquid is the closure for the drag force, since it dominates the terminal rise velocity of the bubbles. Due to the very high gas loadings used in many industrial processes, bubble–bubble (or ‘swarm’) interactions need to be accounted for in the drag closure. An advanced front-tracking model was employed, which can simulate bubble swarms up to 50% gas hold-up without the problem of (numerical) coalescence. The influence of the gas hold-up for mono-disperse bubble swarms with different bubble diameters (i.e. Eötvös numbers) was quantified in a single drag correlation valid for the intermediate to high Reynolds numbers regime . Also the physical properties of the liquid phase were varied, but the simulation results revealed that the drag force coefficient was independent of the Morton number. The newly developed correlation has been implemented in a larger-scale model, and the effect of the new drag closure on the hydrodynamics in a bubble column is investigated in a separate paper (Lau et al., 2011 Lau, Y., Roghair, I., Deen, N.G., Van Sint Annaland, M., Kuipers, J.A.M. Numerical investigation of the drag closure for bubbles in bubble swarms. Chemical Engineering Science, this issue, doi:10.1016/j.ces.2011.01.053. Lau et al., this issue).

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DO - 10.1016/j.ces.2011.02.030

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