Frontiers of Chemical Science and Engineering >
The role of single deformed bubble on porous foam tray with submerged orifices on the mass transfer enhancement
Received date: 24 May 2023
Accepted date: 10 Aug 2023
Published date: 15 Dec 2023
Copyright
Foam trays with porous submerged orifices endow bubbles uniformly distributed, which are considered attractive column internals to enhance the gas-liquid mass transfer process. However, its irregular orifice and complex gas-liquid flow make it lack pore-scale investigations concerning the transfer mechanism of dynamic bubbling. In this work, the actual porous structure of the foam tray is obtained based on micro computed tomography technology. The shape, dynamic, and mass transfer of rising bubbles at porous orifices are investigated using the volume of fluid and continue surface force model. The results demonstrate that the liquid encroaching on the gas channels causes the increasing orifices velocity, which makes the trailing bubble easily detach from the midst of the leading bubble and causes pairing coalescence. Additionally, we found that the central breakup regimes significantly improve the gas-liquid interface area and mass transfer efficiency. This discovery exemplifies the mechanism of mass transfer intensification for foam trays and serves to promote its further development.
Peng Yan , Xueli Geng , Jian Na , Hong Li , Xin Gao . The role of single deformed bubble on porous foam tray with submerged orifices on the mass transfer enhancement[J]. Frontiers of Chemical Science and Engineering, 2023 , 17(12) : 2127 -2143 . DOI: 10.1007/s11705-023-2363-3
Physical quantities | Meaning |
αi | Volume fraction of the i phase, dimensionless |
Ab | Bubble deformation area/m2 |
Ab,0 | Initial spherical bubble area/m2 |
db | Bubble diameter/m |
db,0 | Initial spherical bubble diameter/m |
do | Orifice diameter/m |
de | Equivalent diameter of the bubble/m |
Dl | Diffusion coefficient/(m2·s–1) |
FVOL | Volume force/N |
g | Gravitational acceleration/(m·s–2) |
Ga | Galilei number |
HCL | Liquid level height/m |
kl | Mass transfer coefficient/(m·s–1) |
L | Characteristic length/m |
Eo | Eötvos number |
mgl | Mass transfer rate from gas to liquid/(kg·m–3·s–1) |
Mo | Morton number |
Vo | Basic bubble volume/m3 |
Vb | Bubble volume/m3 |
θwall | Static contact angle |
ρi | i phase density/(kg·m–3) |
P | System pressure/Pa |
R | Bubble radius/m |
ReO | Orifice Reynolds number |
Ug | Superficial gas velocity/(m·s–1) |
Ug,o | Gas velocity at the orifice/(m·s–1) |
v | Kinematic viscosity/(m2·s–1) |
µi | i phase viscosity/(mPa·s) |
t | Flow time/s |
σ | Surface tension/(N·m–1) |
ρ | Density/(kg·m–3) |
Subscripts: b means bubble; g means gas phase; l means liquid phase; o means orifice |
1 |
Zhang R, Chen H, Mu Y, Chansai S, Ou X, Hardacre C, Jiao Y, Fan X. Structured Ni@NaA zeolite supported on silicon carbide foam catalysts for catalytic carbon dioxide methanation. AIChE Journal. American Institute of Chemical Engineers, 2020, 66(11): e17007
|
2 |
Ou X, Xu S, Warnett J M, Holmes S M, Zaheer A, Garforth A A, Williams M A, Jiao Y, Fan X. Creating hierarchies promptly: microwave-accelerated synthesis of ZSM-5 zeolites on macrocellular silicon carbide (SiC) foams. Chemical Engineering Journal, 2017, 312: 1–9
|
3 |
Ou X, Pilitsis F, Jiao Y, Zhang Y, Xu S, Jennings M, Yang Y, Taylor S, Garforth A, Zhang H, Hardacre C, Yan Y, Fan X. Hierarchical Fe-ZSM-5/SiC foam catalyst as the foam bed catalytic reactor (FBCR) for catalytic wet peroxide oxidation (CWPO). Chemical Engineering Journal, 2019, 362: 53–62
|
4 |
Chen H, Shao Y, Mu Y, Xiang H, Zhang R, Chang Y, Hardacre C, Wattanakit C, Jiao Y, Fan X. Structured silicalite-1 encapsulated Ni catalyst supported on SiC foam for dry reforming of methane. AIChE Journal. American Institute of Chemical Engineers, 2020, 67(4): e17126
|
5 |
Li X, Shi Q, Li H, Yao Y, Pavlenko A N, Gao X. Experimental characterization of novel SiC foam corrugated structured packing with varied pore size and corrugation angle. Journal of Engineering Thermophysics, 2017, 26(4): 452–465
|
6 |
Zhang L, Liu X, Li X, Gao X, Sui H, Zhang J, Yang Z, Tian C, Li H. A novel SiC foam valve tray for distillation columns. Chinese Journal of Chemical Engineering, 2013, 21(8): 821–826
|
7 |
Zhang L, Liu X, Li H, Sui H, Li X, Zhang J, Yang Z, Tian C, Gao G. Hydrodynamic and mass transfer performances of a new SiC foam column tray. Chemical Engineering & Technology, 2012, 35(12): 2075–2083
|
8 |
Yan P, Li X, Li H, Gao X. Hydrodynamics and flow mechanism of foam column trays: contact angle effect. Chemical Engineering Science, 2018, 176: 220–232
|
9 |
Li H, Fu L, Li X, Gao X. Mechanism and analytical models for the gas distribution on the SiC foam monolithic tray. AIChE Journal. American Institute of Chemical Engineers, 2015, 61(12): 4509–4516
|
10 |
Byakova A V, Gnyloskurenko S V, Nakamura T, Raychenko O I. Influence of wetting conditions on bubble formation at orifice in an inviscid liquid. Colloids and Surfaces. A, Physicochemical and Engineering Aspects, 2003, 229(1-3): 19–32
|
11 |
Gnyloskurenko S V, Byakova A V, Raychenko O I, Nakamura T. Influence of wetting conditions on bubble formation at orifice in an inviscid liquid. Transformation of bubble shape and size. Colloids and Surfaces. A, Physicochemical and Engineering Aspects, 2003, 218(1-3): 73–87
|
12 |
Hecht K J, Velagala S, Easo D A, Saleem M A, Krause U. Influence of wettability on bubble formation from submerged orifices. Industrial & Engineering Chemistry Research, 2020, 59(9): 4071–4078
|
13 |
Mirsandi H, Baltussen M W, Peters E A J F, van Odyck D E A, van Oord J, van der Plas D, Kuipers J. Numerical simulations of bubble formation in liquid metal. International Journal of Multiphase Flow, 2020, 131: 103363
|
14 |
Mirsandi H, Smit W J, Kong G, Baltussen M W, Peters E A J F, Kuipers J A M. Bubble formation from an orifice in liquid cross-flow. Chemical Engineering Journal, 2020, 386: 120902
|
15 |
Islam M T, Ganesan P B, Sahu J N, Sandaran S C. Effect of orifice size and bond number on bubble formation characteristics: a CFD study. Canadian Journal of Chemical Engineering, 2015, 93(10): 1869–1879
|
16 |
Lee S J Y, An H, Wang P C, Hang J G, Yu S C M. Effects of liquid viscosity on bubble formation characteristics in a typical membrane bioreactor. International Communications in Heat and Mass Transfer, 2021, 120: 105000
|
17 |
Zhang L, Shoji M. Aperiodic bubble formation from a submerged orifice. Chemical Engineering Science, 2001, 56(18): 5371–5381
|
18 |
Grace J R, Wairegi T, Nguyen T H. Shapes and velocities of single drops and bubbles moving freely through immiscible liquids. Chemical Engineering Research & Design, 1976, 54: 167–173
|
19 |
Tripathi M K, Sahu K C, Govindarajan R. Dynamics of an initially spherical bubble rising in quiescent liquid. Nature Communications, 2015, 6(1): 6268
|
20 |
Fourie J G, Du Plessis J P. Pressure drop modelling in cellular metallic foams. Chemical Engineering Science, 2002, 57(14): 2781–2789
|
21 |
Habisreuther P, Djordjevic N, Zarzalis N. Statistical distribution of residence time and tortuosity of flow through open-cell foams. Chemical Engineering Science, 2009, 64(23): 4943–4954
|
22 |
Kumar P, Topin F. Investigation of fluid flow properties in open cell foams: darcy and weak inertia regimes. Chemical Engineering Science, 2014, 116: 793–805
|
23 |
Li X, Gao G, Zhang L, Sui H, Li H, Gao X, Yang Z, Tian C, Zhang J. Multiscale simulation and experimental study of novel SiC structured packings. Industrial & Engineering Chemistry Research, 2012, 51(2): 915–924
|
24 |
RambabuSKartikSriram KChamarthySParthasarathyPRatnakishore V. Ratna kishore V. A proposal for a correlation to calculate pressure drop in reticulated porous media with the help of numerical investigation of pressure drop in ideal & randomized reticulated structures. Chemical Engineering Science, 2021, 237: 116518
|
25 |
Bracconi M, Ambrosetti M, Maestri M, Groppi G, Tronconi E. A systematic procedure for the virtual reconstruction of open-cell foams. Chemical Engineering Journal, 2017, 315: 608–620
|
26 |
Wehinger G D, Heitmann H, Kraume M. An artificial structure modeler for 3D CFD simulations of catalytic foams. Chemical Engineering Journal, 2016, 284: 543–556
|
27 |
De Carvalho T P, Morvan H P, Hargreaves D, Oun H, Kennedy A. Experimental and tomography-based CFD investigations of the flow in open cell metal foams with application to aero engine separators. Turbo Expo: Power for Lan, Sea, and Air. Montréal, Canada: American Society of Mechanical Engineers (ASME), 2015, 56734: V05CT15A028
|
28 |
Bracconi M, Ambrosetti M, Okafor O, Sans V, Zhang X, Ou X, Pereira Da Fonte C, Fan X, Maestri M, Groppi G.
|
29 |
Brackbill J U, Kothe D B, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics, 1992, 100(2): 335–354
|
30 |
Özkan F, Wenka A, Hansjosten E, Pfeifer P, Kraushaar-Czarnetzki B. Numerical investigation of interfacial mass transfer in two phase flows using the VOF method. Engineering Applications of Computational Fluid Mechanics, 2016, 10(1): 100–110
|
31 |
Sander R. Compilation of Henry’s law constants (version 4.0) for water as solvent. Atmospheric Chemistry and Physics, 2015, 15(8): 4399–4981
|
32 |
Whitman W G. The two-film theory of gas absorption. International Journal of Heat and Mass Transfer, 1962, 5(5): 429–433
|
33 |
Anderson C E Jr. Analytical models for penetration mechanics: a review. International Journal of Impact Engineering, 2017, 108: 3–26
|
34 |
Danckwerts P V. Significance of liquid-film coefficients in gas absorption. Industrial & Engineering Chemistry, 1951, 43(6): 1460–1467
|
35 |
Krevelen D, Hoftijzer P J. Studies of gas bubble formation. Chemical Engineering Progress, 1950, 46(1): 29–35
|
36 |
Haynes W M, Lide D R, Bruno T J. CRC Handbook of Chemistry and Physics. 97th ed. Boca Raton: CRC press, 2016, 6: 261–262
|
/
〈 | 〉 |