Improvement in Device Performance of Double-Pass Concentric Circular Mass Exchanger with an Idealized Membrane Inserted

Chii-Dong Ho; Jr-Wei Tu; Yu-Chuan  Chuang; Chun-Sheng  Lin

doi:10.6180/jase.2012.15.1.06

Improvement in Device Performance of Double-Pass Concentric Circular Mass Exchanger with an Idealized Membrane Inserted

Chii-Dong Ho This email address is being protected from spambots. You need JavaScript enabled to view it.¹, Jr-Wei Tu¹, Yu-Chuan Chuang¹ and Chun-Sheng Lin¹

¹Energy and Opto-Electronic Materials Research Center, Department of Chemical and Materials Engineering, Tamkang University, Tamsui, Taiwan 251, R.O.C.

Received: September 3, 2010
Accepted: July 11, 2011
Publication Date: March 1, 2012

Download Citation: ||https://doi.org/10.6180/jase.2012.15.1.06

ABSTRACT

A new design of the concentric circular mass exchanger with an idealized tubular membrane inserted is investegated theoretically. The recycle-effect concept is introduced to enhance the mass transfer rate of the double-pass concentric circular mass exchanger. A theoretical mathematical model is develped to predict the concentration distribution and mass tranfer efficiency. The analytical solution is obtained by using a linear superposition of an asymptotic solution and a homogeneous solution with the orthogonal expansion technique in terms of power series. The theoretical results show that a considerable mass-transfer efficiency improvement is achieveable by applying the double-pass design with the recycle-effect concept into a single-pass circular mass exchanger under constant wall mass fluxes.

Keywords: Mass Transfer, Modelling, Tubular Membranes, Membrane Processes, Imcompressible Flow

REFERENCES

[1] Vajda, M., Havalda, I. and Macek, R., “MembraneBased Solvent Extraction and Stripping of Zinc in a Hollow-Fibre Contactor Operating in a Circulating Mode,” Desalination, Vol. 163, p. 19 (2004).
[2] Wang, W. P., Lin, S. T. and Ho, C. D., “An Analytical Study of Laminar Co-Current Flow Gas Absorption through a Parallel-Plate Gas-Liquid Membrane Contactor,” J. Membr. Sci., Vol. 278, p. 181 (2006).
[3] Tanaka, Y., “Concentration Polarization in Ion-Exchange Membrane Electrodialysis: The Events Arising in an Unforced Flowing Solution in a Desalting Cell,” J. Membr. Sci., Vol. 244, p. 1 (2004).
[4] Alklaibi, A. M. and Lior, N., “Transport Analysis of Air-Gap Membrane Distillation,” J. Membr. Sci., Vol. 255, p. 239 (2005).
[5] Yin, X. and Bau, H. H., “The Conjugated Greatz Problem with Axial Conduction,” Trans. ASME, Vol. 118, p. 482 (1996).
[6] Weigand, B. and Lauffer, D., “The Extended Graetz Problem with Piecewise Constant Wall Temperature for Pipe and Channel Flows,” Int. J. Heat Mass Transfer, Vol. 47, p. 5303 (2004).
[7] Manca, O. and Nardini, S., “Experimental Investigation on Natural Convection in Horizontal Channels with the Upper Wall at Uniform Heat Flux,” Int. J. Heat Mass Transfer, Vol. 50, p. 1075 (2007).
[8] Ho, C. D., Lin, G. G. and Ho, C. L., “The Effect of Recycle on Double-Pass Laminar Counterflow Concentric Circular Mass Exchangers,” J. Chem. Eng. Japan, Vol. 38, p. 12 (2005).
[9] Ho, C. D., Fu, J. J. and Tu, J. W., “An Analytical Study of Mass Transfer Efficiency in Double-Pass ParallelPlate Mass Exchangers under Uniform Wall Fluxes,” J. Chem. Eng. Japan, Vol. 39, p. 1243 (2006).
[10] Mitrovic, J., Maletic, B. and Baclic, B. S., “Some Peculiarities of the Asymmetric Graetz Problem,” Int. J Eng. Sci., Vol. 44, p. 436 (2006).
[11] Korpijarvi, J., Oinas, P. and Reunanen, J., “Hydrodynamics and Mass Transfer in Airlift Reactor,” Chem. Eng. Sci., Vol. 54, p. 2255 (1998).
[12] Garcia-Calvo, E., Rodriguez, A., Prados, A. and Klein, J., “Fluid Dynamic Model for Three-Phase Airlift Reactors,” Chem. Eng. Sci., Vol. 54, p. 2359 (1998).
[13] Goto, S. and Gaspillo, P. D., “Effect of Static Mixer on Mass Transfer in Draft Tube Bubble Column and in External Loop Column,” Chem. Eng. Sci., Vol. 47, p. 3533 (1992).
[14] Wilkes, J. O., Fluid Mechanics for Chemical Engineers, Prentice-Hall PTR, New Jersey (1999).
[15] Ho, C. D., Chuang, Y. C. and Tu, J. W., “Device Performance Improvement of Double-Pass Concentric Circular Mass Exchangers under Uniform Wall Fluxes,” Chem. Eng. Technol., Vol. 30, p. 431 (2007).
[16] Cooney, D. O., Kim, S. S. and Davis, E. J., “Analysis of Mass Transfer in Hemodialyzers for Laminar Blood Flow and Homogeneous Dialysate,” Chem. Eng. Sci., Vol. 29, p. 1731 (1974).
[17] Meter, D. M. and Bird, R. B., Turbulent Newtonian Flow in Annuli, AIChE Journal, Vol. 7, pp. 4145 (1961).