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Application of Laplace Transform for a Gas-Liquid-Solid Trickle Bed Reactor by Using the Tracer Technique

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DOI: 10.4236/am.2013.41A027    5,565 Downloads   9,306 Views  

ABSTRACT

Experimental evaluation and dynamic modelling were presented for a liquid flow (H2O + NaOH tracer) on solid particles in a trickle bed reactor. One-dimensional dynamic mathematical model has been described to study the gas-liquid-solid process in which the liquid phase with the NaOH tracer is treated as a continuum. The physical model has been analyzed, including the formulation of initial and boundary conditions and the description of the solution methodology. An experimental setup to measure the concentrations of the NaOH tracer has been performed. The concentration measurements of this NaOH tracer have been performed in a fixed be reactor on trickling flow of the liquid phase for a range of operating conditions. The axial dispersion (Dax) of the liquid phase, liquid-solid mass transfer (kLS) coefficient and partial wetting efficiency (fe) were chosen as the hydrodynamic parameters of the proposed mathematical model. Such parameters have been optimized with experimental measurents of the NaOH tracer at the exit of the trickle-bed reactor. The optimized parameters (Dax, kLS, and fe) were calculated simultaneously by using the theoretical model with minimization of the objective function. Results of the proposed mathematical model have been presented and compared as of the two experimental cases. These hydrodynamic parameters were fitted by means of the empirical correlations.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Silva, "Application of Laplace Transform for a Gas-Liquid-Solid Trickle Bed Reactor by Using the Tracer Technique," Applied Mathematics, Vol. 4 No. 1A, 2013, pp. 167-176. doi: 10.4236/am.2013.41A027.

References

[1] J. C. Charpentier and M. Favier, “Some Liquid Holdup Experimental Data in Trickle Bed Reactors for Foaming and Non-Foaming Hydrocarbons,” Aiche Journal, Vol. 21, No. 6, 1975, pp. 1213-1221. doi:10.1002/aic.690210626
[2] V. Specchia and G. Baldi, “Pressure Drop and Liquid Holdup for Two Phase Cocurrent Flow in Packed Beds,” Chemical Engineering Science, Vol. 32, No. 5, 1977, pp. 515-523. doi:10.1016/0009-2509(77)87008-5
[3] A. Burghardt, B. Grazyna, J. Miczylaw and A. Kolodziej, “Hydrodynamics and Mass Transfer in a Three-Phase Fixed Bed Reactor with Concurrent Gas-Liquid Downflow,” Chemical Engineering Journal, Vol. 28, 1995, pp. 83-99.
[4] I. Iliuta, S. C. Bildea, M. C. Iliuta and F. Larachi, “Analysis of Trickle Bed and Packed Bubble Column Bioreactors for Combined Carbon Oxidation and Nitrification,” Brazilian Journal of Chemical Engineering, Vol. 19, No. 3 2002, pp. 69-87.
[5] M. A. Latifi, A. Naderifar and N. Midoux, “Experimental Investigation of the Liquid-Solid Mass Transfer at the Wall of Trickle Bed—Influence of Schmidt Number,” Chemical Engineering Science, Vol. 52, No. 21-22, 1997, pp. 4005-4011. doi:10.1016/S0009-2509(97)00243-1
[6] A. J. Colombo, G. Baldi and S. Sicardi, “Solid-Liquid Contacting Effectiveness in Trickle-Bed Reactors,” Chemical Engineering Science, Vol. 31, No. 12, 1976, pp. 1101-1108. doi:10.1016/0009-2509(76)85019-1
[7] J. D. Silva, F. R. A. Lima, C. A. M. Abreu and A Knoechelmann, “Experimental Analysis and Dynamic Modeling of the Mass Transfer Processes for a Fixed Bed Three-Phase Reactor in Trickle Bed Regime,” Brazilian Journal of Chemical Engineering, Vol. 20, No. 4, 2003, pp. 375-390. doi:10.1590/S0104-66322003000400005
[8] J. D. Silva, “Dynamic Evaluation for Liquid Tracer in a Trickle Bed Reactor,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 33, No. 3, 2011, pp. 277-272. doi:10.1590/S1678-58782011000300002
[9] P. A. Ramachandran and R. B. Chaudhari, “Three Phase Catalytic Reactors,” Gordon and Breach Science Publishers, New York, 1983, pp. 200-251.
[10] J. D. Silva, “Computation of Axial Dispersion and Overall Liquid Solid Mass Coeffients for a Trickle-Bed Reactor by Using the Tracer Technique”, 21st Brazilian Congress of Mechanical Engineering, 24-28 October 2011, Natal, pp. 1-10.
[11] J. G. Rodrigo, L. Rosa and M. Quinta-Ferreira, “Turbulence Modelling of Multiphase Flow in High-Pressure Trickle Reactor,” Chemical Engineering Science, Vol. 64, No. 8, 2009, pp. 1806-1819. doi:10.1016/j.ces.2008.12.026
[12] F. Augier, A. Koudil, L. Muszynski and Q. Yanouri, “Numerical Approach to Predict Wetting and Catalyst Efficiencies Inside Trickle Bed Reactors,” Chemical Engineering Science, Vol. 65, No. 1, 2010, pp. 255-260. doi:10.1016/j.ces.2009.06.027
[13] P. Box, “A New Method of Constrained Optimization and a Comparison with Other Method,” Computer Journal, Vol. 8, No. 1, 1965, pp. 42-52. doi:10.1093/comjnl/8.1.42
[14] R. Lange, R. Gutsche and J. Hanika, “Forced Periodic Operation of a Trickle-Bed Reactor,” Chemical Engineering Science, Vol. 54, No. 13-14, 1999, pp. 2569-2573. doi:10.1016/S0009-2509(99)00004-4
[15] S. Fukushima and K. Kusaka, “Interfacial Area Boundary of Hydrodynamic Flow Region in Packed Column with Cocurrent Downward Flow,” Journal of Chemical Engineering of Japan, Vol. 10, No. 6, 1977, pp. 461-467. doi:10.1252/jcej.10.461
[16] A. Burghardt, A. S. Kolodziej and J. Zynski, “Experimental Studies of Liquid-Solid Wetting Efficiency in Trickle-Bed Cocurrent Reactors,” Chemical Engineering Journal, Vol. 28, 1990, pp. 35-49.
[17] A. Ayude, J. Cechini, M. Cassanello, O. Martínez and P. Haure, “Trickle Bed Reactors: Effect of Liquid Flow Modulation on Catalytic Activity,” Chemical Engineering Science, Vol. 63, No. 20, 2008, pp. 4969-4973. doi:10.1016/j.ces.2008.07.024
[18] G. Liu, X. Zhang, L. Wang, S. Zhang and Z. Mi, “Unsteady-State Operation of Trickle-Bed Reactor for Dicyclopentadiene Hydrogenation,” Chemical Engineering Science, Vol. 36, No. 20, 2008, pp. 4991-5001. doi:10.1016/j.ces.2008.03.008

  
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