Taylor Dispersion Coefficients for Longitudinal Laminar Flow in Shell-and-tube Exchangers

Sangkyun Koo; Kwang Ho Song

Korean Journal of Chemical Engineering, Vol.22, No.2, 184-189, March, 2005

DOI10.1007/BF02701482 Export Citation

Taylor Dispersion Coefficients for Longitudinal Laminar Flow in Shell-and-tube Exchangers

Sangkyun Koo, and Kwang Ho Song^{1, †}

LG Chem Research Park, Daejeon 305-380, Korea
¹Dept. of Chemical and Biological Engineering, Korea University, Seoul 136-713, Korea

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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.

Keywords:Taylor Dispersion Coefficient;Shell-and-tube Exchanger;Multipole Expansion Method;Square and Hexagonal Array;Cell Theory

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[Related Articles]

[1] Aris R, Proc. R. Soc. Lond., A235, 67 (1956)

[2] Balakotaiah V, Korean J. Chem. Eng., 21(2), 318 (2004)

[3] Balakotaiah V, Chang HC, Philos. Trans. R. Soc. Lond. Ser. A-Math. Phys. Eng. Sci., 351, 39 (1995)

[4] Dill LH, Brenner H, J. Colloid Interface Sci., 85, 101 (1982)

[5] Happel J, AIChE J., 5, 174 (1959)

[6] Hasimoto H, J. Fluid Mech., 5, 317 (1959)

[7] Koch DL, Brady JF, J. Fluid Mech., 154, 399 (1985)

[8] Koo S, Sangani AS, J. Fluid Mech., 484, 255 (2003)

[9] Sangani AS, Yao C, Phys. Fluids, 31, 2435 (1988)

[10] Shapiro M, Brenner H, Chem. Eng. Sci., 41, 1417 (1986)

[11] Sparrow EM, Loeffler AL, Hubbard HA, J. Heat Transf. -Trans. ASME, 83, 415 (1961)

[12] Taylor GI, Proc. R. Soc. Lond. A, 219, 186 (1953)