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Received January 22, 2015
Accepted November 20, 2015
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An improved linear formula for cyclic adsorption, diffusion and reaction in a catalyst
Department of Chemical Engineering, Kyungpook National University, Daegu 41566, Korea
dhkim@knu.ac.kr
Korean Journal of Chemical Engineering, April 2016, 33(4), 1186-1191(6), 10.1007/s11814-015-0250-4
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Abstract
Simple linear models including the linear driving force (LDF) model for approximating unsteady-state diffusion, adsorption in an adsorbent under cyclic operating environments have been proposed to reduce the computational load of the exact partial differential equations. The models are in the form of a first-order ordinary differential equation and consist of a term with the external concentration surrounding the adsorbent particle and another term with the average adsorbate concentration in the adsorbent. Although very simple to use, the approximation models are first-order approximations of the pore diffusion model, and hence their accuracy is not high enough to compute fine details of fast responses. By incorporating the time derivative of the external concentration into the approximation, an improved linear formula for cyclic adsorption is developed in this study. As the time derivative is usually computed simultaneously with the external concentration, the improved formula has little additional complexity over the previous approximations in its applications, and yet it is considerably more accurate than the previous first-order approximations for cyclic adsorption.
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References
Kim DH, AIChE J., 54(9), 2423 (2008)
Glueckauf E, J. Chem. Soc.-Faraday Trans., 51, 1540 (1955)
Kim DH, AIChE J., 35, 343 (1989)
Dantas TLP, Luna FMT, Silva IJ, de Azevedo DCS, Grande CA, Rodrigues AE, Moreira RFPM, Chem. Eng. J., 169(1-3), 11 (2011)
Dowling AW, Vetukuri SRR, Biegler LT, AIChE J., 58(12), 3777 (2012)
Jee JG, Kim MB, Lee CH, Chem. Eng. Sci., 60(3), 869 (2005)
Nakao S, Suzuki M, J. Chem. Eng. Jpn., 16, 114 (1983)
Alpay E, Scott DM, Chem. Eng. Sci., 47, 499 (1992)
Raghavan NS, Hassan MM, Ruthven DM, Chem. Eng. Sci., 41, 2787 (1986)
Kim DH, Chem. Eng. Sci., 51(17), 4137 (1996)
Lee JT, Kim DH, Chem. Eng. Sci., 53(6), 1209 (1998)
Lee J, Kim DH, Chem. Eng. J., 173(2), 644 (2011)
Kim DH, Lee J, Korean J. Chem. Eng., 29(1), 42 (2012)
Cho W, Lee J, Korean J. Chem. Eng., 30(3), 580 (2013)
Glueckauf E, J. Chem. Soc.-Faraday Trans., 51, 1540 (1955)
Kim DH, AIChE J., 35, 343 (1989)
Dantas TLP, Luna FMT, Silva IJ, de Azevedo DCS, Grande CA, Rodrigues AE, Moreira RFPM, Chem. Eng. J., 169(1-3), 11 (2011)
Dowling AW, Vetukuri SRR, Biegler LT, AIChE J., 58(12), 3777 (2012)
Jee JG, Kim MB, Lee CH, Chem. Eng. Sci., 60(3), 869 (2005)
Nakao S, Suzuki M, J. Chem. Eng. Jpn., 16, 114 (1983)
Alpay E, Scott DM, Chem. Eng. Sci., 47, 499 (1992)
Raghavan NS, Hassan MM, Ruthven DM, Chem. Eng. Sci., 41, 2787 (1986)
Kim DH, Chem. Eng. Sci., 51(17), 4137 (1996)
Lee JT, Kim DH, Chem. Eng. Sci., 53(6), 1209 (1998)
Lee J, Kim DH, Chem. Eng. J., 173(2), 644 (2011)
Kim DH, Lee J, Korean J. Chem. Eng., 29(1), 42 (2012)
Cho W, Lee J, Korean J. Chem. Eng., 30(3), 580 (2013)
