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TECHNICAL PAPERS

Dual-Species Transport Subject to Sorptive Exchange in Pipe Flow

[+] Author and Article Information
T. L. Yip, C. O. Ng

Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Konge-mail: cong@hku.hk

J. Appl. Mech 70(4), 550-560 (Aug 25, 2003) (11 pages) doi:10.1115/1.1576805 History: Received September 06, 2001; Revised October 24, 2002; Online August 25, 2003
Copyright © 2003 by ASME
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References

Taylor,  G. I., 1953, “Dispersion of Soluble Matter in Solvent Flowing Slowly Through a Tube,” Proc. R. Soc. London, Ser. A, 219, pp. 186–203.
Taylor,  G. I., 1954, “The Dispersion of Matter in Turbulent Flow Through a Pipe,” Proc. R. Soc. London, Ser. A, 223, pp. 446–468.
Smith,  R., 1983, “Effect of Boundary Absorption Upon Longitudinal Dispersion in Shear Flow,” J. Fluid Mech., 134, pp. 161–177.
Smith,  R., 1995, “How Far Can a Boundary Coating Material be Carried Downstream in Turbulent Pipe Flow?” J. Eng. Math., 29, pp. 51–62.
Purnama,  A., 1988, “Boundary Retention Effects Upon Contaminant Dispersion in Parallel Flows,” J. Fluid Mech., 195, pp. 393–412.
Ng,  C. O., and Yip,  T. L., 2001, “Effects of Kinetic Sorptive Exchange on Solute Transport in Open-Channel Flow,” J. Fluid Mech., 446, pp. 321–345.
Ng,  C. O., 2002, “On the Longitudinal Dispersion of Heavy Particles in a Horizontal Circular Pipe,” Int. J. Eng. Sci., 40, pp. 239–250.
Elder,  J. W., 1959, “The Dispersion of Marked Fluid in Turbulent Shear Flow,” J. Fluid Mech., 5, pp. 544–560.
Sumer,  B. M., 1974, “Mean Velocity and Longitudinal Dispersion of Heavy Particles in Turbulent Open-Channel Flow,” J. Fluid Mech., 65, pp. 11–28.
Chatwin,  P. C., 1970, “The Approach to Normality of the Concentration Distribution of a Solute in a Solvent Flowing Through a Straight Pipe,” J. Fluid Mech., 43, pp. 321–352.
Mei,  C. C., 1992, “Method of Homogenization Applied to Dispersion in Porous Media,” Transp. Porous Media, 9, pp. 261–274.
Ng,  C. O., 2000, “Dispersion in Particle-Laden Stream Flow,” J. Eng. Mech., 126(8), pp. 779–786.
Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover, New York.
Wood, W. L., 1993, Introduction to Numerical Methods for Water Resources, Oxford University Press, New York.
Zheng, C., and Bennett, G. D., 1995, Applied Contaminant Transport Modeling, Van Nostrand Reinhold, New York.

Figures

Grahic Jump Location
Distributions of the particle concentration ζ̅̂, solute Taylor dispersion coefficient D⁁Tc, sorption-kinetics-induced dispersion coefficient D⁁Kc, and drifting velocity u⁁d for Case 1 (β=1)
Grahic Jump Location
As Fig. 1, but for Case 2 (β=5)
Grahic Jump Location
As Fig. 1, but for Case 3 (β=10)
Grahic Jump Location
Snapshots of the distributions of the solute concentration C⁁(ξ⁁,t⁁) (solid lines) and the particle concentration ζ̅̂(ξ⁁,t⁁) (dashed lines) for Cases 1, 2, and 3. The dotted lines represent the limiting case when the chemical is non-sorbing or the sorptive exchange is nil.
Grahic Jump Location
The location of the center ξ⁁c, the variance σ2, and the skew coefficient χ for the chemical front as a function of time t⁁ for Cases 1, 2, and 3. The dotted lines represent the limiting case when the chemical is nonsorbing or the sorptive exchange is nil.

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