Abstract
The problem of determining the shell-side Taylor dispersion coefficient for a shell-and-tube configuration is examined in detail for square and hexagonal arrays of tubes for the case when the shell side flow is laminar and parallel to the tubes. A multipole expansion method is employed to determine fluid velocity and concentration field for the fluid on the shell side. The numerical results for the shell side Taylor dispersion coefficient are compared with those by a cell theory. The cell theory agrees well with the numerical results at small area fractions and gives better estimates for hexagonal arrays. Finally, we present formulas for determining Taylor dispersion coefficient for the periodic arrays.
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References
Aris, R., “On the Dispersion of a Solute in a Fluid Flowing through a Tube,”Proc. R. Soc. Lond.,A235, 67 (1956).
Balakotaiah, V., “Hyperbolic Averaged Models for Describing Dispersion Effects in Chromatographs and Reactors,”Korean J. Chem. Eng.,21, 318 (2004).
Balakotaiah, V. and Chang, H.-C., “Dispersion of Chemical Solutes in Chromatographs and Reactors,”Phil. Trans. R. Soc. Lond. A,351, 39 (1995).
Dill, L.H. and Brenner, H., “General theory of Taylor Dispersion Phenomena. III,”J. Colloid Interface Sci.,85, 101 (1982).
Happel, J., “Viscous Flow Relative to Arrays of Cylinders,”AIChE J.,5, 174 (1959).
Hasimoto, H., “On the Periodic Fundamental Solutions of the Stokes Equations and their Application to Viscous Flow Past a Cubic Array of Spheres,”J. Fluid Mech.,5, 317 (1959).
Koch, D. L. and Brady, J. F., “Dispersion in Fixed Beds,”J. Fluid Mech.,154, 399 (1985).
Koo, S. and Sangani, A. S., “Mass Transfer Coefficients for Laminar Longitudinal Flow in Hollow-fibre Contactors,”J. Fluid Mech.,484, 255 (2003).
Sangani, A. S. and Yao, C., “Transport Processes in Random Arrays of Cylinders. II. Viscous Flow,”Phys. Fluids,31, 2435(1988).
Shapiro, M. and Brenner, H., “Taylor Dispersion of Chemically Reactive Species: Irreversible First Order Reactions in Bulk and on Boundaries,”Chem. Eng. Sci.,41, 1417 (1986).
Sparrow, E.M., Loeffler, A. L. and Hubbard, H.A., “Heat Transfer to Longitudinal Laminar Flow between Cylinders,”J. Heat Transfer,83, 415 (1961).
Taylor, G. I., “Dispersion of Soluble Matter in Solvent Flowing Slowly through a Tube,”Proc. R. Soc. Lond. A,219, 186 (1953).
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Koo, S., Song, K.H. Taylor dispersion coefficients for longitudinal laminar flow in shell-and-tube exchangers. Korean J. Chem. Eng. 22, 184–189 (2005). https://doi.org/10.1007/BF02701482
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DOI: https://doi.org/10.1007/BF02701482