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In relation to this article, we declare that there is no conflict of interest.
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Received September 20, 2005
Accepted November 12, 2005
articles This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Analysis of the constant molar flow semi-batch vessel in contactwith permeable core-shell composites

Department of Fire and Disaster Prevention Engineering, Kyungnam University, Masan 631-701, Korea
Korean Journal of Chemical Engineering, March 2006, 23(2), 292-298(7), 10.1007/BF02705730
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Abstract

An exact analytical solution was derived for the concentration of solute or the temperature of the fluid ina constant molar flow semi-batch well-stirred vessel in contact with permeable core-shell composites. The linear equi-libria at both the fluid-particle interface and the core-shell interface are assumed and the extraparticle film resistanceis included. Several particular solutions can be readily degenerated from the solution derived in this work. By takingthe contact affinity at the core-shell interface to zero, the solution in case of impermeable core-shell composites canbe degenerated. By taking both the contact affinity at the core-shell interface and the ratio of mass or thermal effectivediffusivities in the core and the shell to unity or by taking the size of the core to zero, the solution in case of homo-geneous particles can be degenerated. The solution for the batch vessel is also degenerated by the differentiation ofthe solution for the constant molar flow semi-batch vessel with respect to time.

References

Carslaw HS, Jaeger JC, Conduction of heat in solids, 2nd Ed., Oxford University Press (1959)
Chanda M, Rempel GL, Ind. Eng. Chem. Res., 36(6), 2190 (1997) 
Chanda M, Rempel GL, Chem. Eng. Sci., 54(17), 3723 (1999) 
Crank J, The mathematics of diffusion, 2nd Ed., Oxford University Press (1975)
Ding X, Jiang Y, Yu K, Bala H, Tao N, Zhao J, Wang Z, Mater. Lett., 58, 1722 (2004) 
Fu W, Yang H, Chang L, Li M, Bala H, Yu Q, Zou G, Colloids Surf. A: Physicochem. Eng. Asp., 262, 71 (2005) 
Levine H, Q. Jl. Appl. math., 82, 499 (1999)
Li P, Xiu GH, Rodrigues AE, Chem. Eng. Sci., 58(15), 3361 (2003) 
Liu B, Deng X, Cao S, Li S, Luo R, Appl. Surf. Sci., 252, 2235 (2006) 
Marinakos SM, Anderson MF, Ryan JA, Martin LD, Feldheim DL, J. Phys. Chem. B, 105(37), 8872 (2001) 
Park IS, Korean J. Chem. Eng., 19(6), 1014 (2002)
Park IS, Korean J. Chem. Eng., 22(5), 729 (2005)
Park IS, Do DD, Chem. Eng. Commun., 152/153, 87 (1996)
Rodriguez-Gonzalez B, Sagueirino-Maceira V, Garcia-Santamaria F, Liz-Marzan L, Nano Lett., 2, 471 (2002) 
Sakiyama K, Koga K, Seto T, Hirasawa M, Orii T, J. Phys. Chem. B, 108(2), 523 (2004) 
Sun Y, Mayers BT, Xia Y, Nano Lett., 2, 481 (2002) 
Wang GH, Harrison A, J. Colloid Interface Sci., 217(1), 203 (1999) 
Yu DG, An JH, Colloids Surf. A: Physicochem. Eng. Asp., 237, 87 (2004) 
Yu YT, Mulvaney P, Korean J. Chem. Eng., 20(6), 1176 (2003)

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