Study of Kolmogorov Turbulence Theory and Intrinsic Permeability Coefficient of Darcy's Law in Rotating Packed Bed

Document Type : Research Article

Authors

1 Intensification Research Lab, Chemical Engineering Department, Yasouj University, Yasouj, I.R. IRAN

2 Intensification Research Lab, Chemical Engineering Department, Yasouj University, Yasouj , I.R. IRAN

Abstract

Rotating packed bed is a highlighting device in process intensification equipment that needed to more study in order to investigate conformity by mass transfer theory. Darcy's law is also used to describe fluid velocity in porous media. Furthermore, since rotating packed bed has high centrifugal acceleration, Kolmogorov turbulence theory as a suitable model to study the experimental setup. In this study, the Darcy model and the Kolmogorov theory were noted to detected changes in pressure drop and average droplet size in the packed zone of bed. theirfore, correspondence of an essential parameter in these models was done in order to determine the average droplet diameter and intrinsic permeability of the medium in the Darcy model. Finally, the influence of rotor speed and gas-liquid flow rate on pressure drop was a discussion. Also, a new correlation referred to calculation intrinsic permeability of Darcy's law and was evaluated by experimental data. Experimental data and calculation result of pressure drop has been high similarity that was an emphasis to use the appropriate assumption to achieve this result. In addition, the proximity of calculated average droplet size by Kolmogorov theory with experimental data that was published in literature study was illustrated the high performance of this basic assumption of Kolmogorov theory to coordination by rotating packed bed.

Keywords

Main Subjects


[1] Ramshaw, Colin, Roger H. Mallinson. Distillation, U.S. Patent No. 4,283,255. 11 Aug. (1981).
[2] Lin Ch.-CH., G.-Sh. Jian, Characteristics of a Rotating Packed bed Equipped with Blade Packings, Separation and Purification Technology, 54(1): 51-60 (2007).
[3] Lin Ch.-Ch., Chen B.-C., Carbon Dioxide Absorption in a Cross-Flow Rotating Packed Bed, Chem. Eng. Res. Des., 89(9): 1722-1729 (2011).
[4] Cheng H.-H., -S. Tan Ch., Removal of CO2 from Indoor Air by Alkanolamine in a Rotating Packed Bed, Sep. Puri. Technol., 82: 156-166 (2011).
[5] Yi F., Zou H.K., Chu G.W., Shao L., Chen J.F., Modeling and Experimental Studies on Absorption of CO2 by Benfield Solution in Rotating Packed Bed, Chem. Eng. J., 145: 377-384 (2009).
[6] Chiang C.Y., Chen Y.S., Liang M.S., Lin F.Y., Tai C.Y., Liu H.S., Absorption of Ethanol into Water and Glycerol/Water Solution in a Rotating Packed Bed, J. Taiwan Inst. Chem. Engrs., 40: 418 (2009).
[7] Lin Ch.-C., Wei T-Y., Hsu Sh-K., Liu W-T., Performance of a Pilot-Scale Cross-Flow Rotating Packed Bed in Removing VOCs from Waste Gas Streams, Separation and Purification Technology, 52(2): 274-279 (2006).
[8] Nascimento J.V.S., Ravagnani T.M.K., Pereira J.A.F.R., Experimental Study of a Rotating Packed Bed Distillation Column, Braz. Jour. Chem. Eng., 26(1): 219-226 (2009).
[9] Yang H.-J., Chu G-W., Zhang J-W., Shen Zh-G., Chen J-F., Micromixing Efficiency in a Rotating Packed Bed: Experiments and Simulation, Industrial & Engineering Chemistry Research, 44(20): 7730-7737 (2005).
[10] Xiuping L., Youzhi L., Zhiqiang L., Xiaoli W.A.N.G., Continuous Distillation Experiment with Rotating Packed Bed, Chinese Journal of Chemical Engineering, 16(4): 656-662 (2008).
[11] Wang G.Q., Xu Z.C., Yu Y.L., Ji J.B., Performance of a Rotating Zigzag Bed—a New HIGEE, Chem. Eng. Process, 47:2131-2139 (2008).
[13] Lin C.C., Chen B.C., Chen Y.S., Hsu S.K., Feasibility of a Cross-Flow Rotating Packed Bed in Removing Carbon Dioxide from Gaseous Streams, Sep. Purif. Technol., 62: 507–512 (2008).
[14] Chiang C.Y., Liu Y.Y., Chen Y.S., Liu H.S., Absorption of Hydrophobic Volatile Organic Compounds by a Rotating Packed Bed, Ind. Eng. Chem. Res., 51: 9441–9445 (2012).
[15] Zhang L.L., Wang J.X., Sun Q.,. Zeng X.F, Chen J.F., Removal of Nitric Oxide in Rotating Packed Bed by Ferrous Chelate Solution, Chem. Eng. J., 181–182: 624-629 (2012).
[16] Yu C.H., Wu T.W., Tan C.S., CO2 Capture by Piperazine Mixed with Non-Aqueous Solvent Diethylene Glycol in a Rotating Packed Bed, Int. J. Green. Gas Con., 19: 503–509 (2013).
[17] Gudena K., Rangaiah G.P., Lakshminarayanan S., Optimal Design of a Rotating Packed Bed for VOC Stripping from Contaminated Groundwater, Ind. Eng. Chem. Res., 51: 835-847 (2012).
[18]  Luo Y., Chu G.W., Zou H.K., Xiang Y., Shao L., Chen J.F., Characteristics of a Two Stage Counter-Current Rotating Packed Bed for Continuous Distillation, Chem. Eng. Process., 52: 55-62 (2012).
[19] Tai C.Y., Wang Y.H., Liu H.S., A Green Process for Preparing Silver Nanoparticles Using Spinning Disk Reactor, AIChE J., 54: 445-452 (2008).
[20] Lin Ch.-Ch., Liu W.-T., Mass Transfer Characteristics of a High-Voidage Rotating Packed Bed, Journal of Industrial and Engineering Chemistry, 13(1): 71-78 (2007).
[21] Yang Q., Wang J.X., Guo F., Chen J.F., Preparation of Hydroxyapatite Nanoparticles by Using High-Gravity Reactive Precipitation Combined with Hydrothermal Method, Ind. Eng. Chem. Res., 49: 9857–9863 (2010).
[22] Chen Y. H., Chang C.Y., Su W.L., Chiu C.Y., Yu Y.H., Chiang P.C., Chang Ch-F., Shie J-H., Chiou Ch-S., Chiang, S-I., Ozonation of CI Reactive Black 5 Using Rotating Packed Bed and Stirred Tank Reactor, Journal of Chemical Technology and Biotechnology, 80(1): 68-75  (2005).
[23] Chen Y.H., Chiu C.Y., Chang C.Y., Huang Y.H., Yu Y.H., Chiang P.C., Shie J-L., Chiou C.S., Modeling Ozonation Process with Pollutant in a Rotating Packed Bed, Industrial & Engineering Chemistry Research, 44(1): 21-29 (2005).
[24] Chen Y.-Sh., Lin Ch.-Ch., Liu H.-Sh., Mass transfer in a Rotating Packed Bed with Viscous Newtonian and Non-Newtonian Fluids, Industrial & Engineering Chemistry Research, 44(4): 1043-1051 (2005).
[25] Chen Y.-Sh., Lin Ch.-Ch., Liu H.-Sh., Mass Transfer in a Rotating Packed Bed with Various Radii of the Bed, Industrial & Engineering Chemistry Research, 44(20): 7868-7875 (2005).
[26] Lin Ch.-Ch., Liu W.-T., Removal of an Undesired Component from a Valuable Product Using a Rotating Packed Bed, Journal of Industrial and Engineering Chemistry, 12(3): 455-459 (2006).
[27] Vollmari, K., Oschmann, T., Wirtz, S., Kruggel-Emden, H., Pressure Drop Investigations in Packings of Arbitrary Shaped Particles, Powder Technology, 271: 109-124 (2015).
[28] Khooshechin, S., Safdari, J., Moosavian, M. A., Mallah, M. H., Prediction of Pressure Drop in Liquid–Liquid Pulsed Packed Extraction Countercurrent Columns, International Journal of Heat and Fluid Flow, 44: 684-691 (2013).
[29] Mayerhofer M., Govaerts j., Parmentier N., Jeanmart H., Helsen L., Experimental Investigation of Pressure Drop in Packed Beds of Irregular Shaped Wood Particles, Powder Technology, 205(1): 30-35 (2011).
[31] Liu Y., Gu D., Xu C., Qi G., Jiao W., Mass Transfer Characteristics in a Rotating Packed Bed with Split Packing, Chinese Journal of Chemical Engineering, 23(5): 868-872 (2015).
[32] Lin C.C., Kuo Y.W., Mass Transfer Performance of Rotating Packed Beds with Blade Packings in Absorption of CO2 into MEA Solution. International Journal of Heat and Mass Transfer, 97: 712-718 (2016).
[33] Li X., Liu Y., Characteristics of Fin Baffle Packing Used in Rotating Packed Bed, Chinese Journal of Chemical Engineering, 18(1): 55-60 (2010).
[34] Jiao, Wei Zhou, You Zhi Liu, and Gui Sheng Qi., Gas Pressure Drop and Mass Transfer Characteristics in a Cross-Flow Rotating Packed Bed with Porous Plate Packing, Industrial & Engineering Chemistry Research, 49(8): 3732-3740 (2010).
[35] Sung, Wei-Der, Yu-Shao Chen., Characteristics of a Rotating Packed Bed Equipped with Blade Packings and Baffles, Separation and Purification Technology, 93: 52-58 (2012).
[36] Guo F., Zheng Ch., Guo K., Feng Y., C. Gardner N., Hydrodynamics and Mass Transfer
in Cross-Flow Rotating Packed Bed
, Chemical Engineering Science, 52(21): 3853-3859 (1997).
[37] Yi F., Zou H-K., Chu G-W., Chen J., Modeling and Experimental Studies on Absorption of CO2 by Benfield Solution in Rotating Packed Bed, Chemical Engineering Journal, 145(3): 377-384 (2009).
[38] Kolmogorov, Andrey Nikolaevich, The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers, Dokl. Akad. Nauk SSSR, 30(4): 9 - 13 (1941).
[39] Llerena-Chavez, H., Larachi, F., Analysis of Flow in Rotating Packed Beds via CFD Simulations—Dry Pressure Drop and Gas Flow Maldistribution, Chemical Engineering Science, 64(9): 2113-2126 (2009).
[40] Mastanaiah K., Ganic E.N., Heat Transfer in Two-Component Dispersed Flow, Journal of Heat Transfer, 103(2): 300-306 (1981).
[41] Prince M.J., Blanch H.W., Bubble Coalescence and Break-Up in Air-Sparged Bubble Columns, AIChEJ, 36: 1485-1499 (1990).