The transport in pipe flow of a chemical species can be materially affected by the presence of solid suspension if the species is capable of partitioning into a solute phase and a solid phase sorbed onto the suspended particles. An asymptotic analysis is used in this work to deduce the effective transport equations for the two phases, with kinetic sorptive exchange taken into account. The effects of sorption on the advection and dispersion of a sorbing chemical are discussed and illustrated with a numerical example.
Issue Section:
Technical Papers
1.
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
.2.
Taylor
, G. I.
, 1954
, “The Dispersion of Matter in Turbulent Flow Through a Pipe
,” Proc. R. Soc. London, Ser. A
, 223
, pp. 446
–468
.3.
Smith
, R.
, 1983
, “Effect of Boundary Absorption Upon Longitudinal Dispersion in Shear Flow
,” J. Fluid Mech.
, 134
, pp. 161
–177
.4.
Smith
, R.
, 1995
, “How Far Can a Boundary Coating Material be Carried Downstream in Turbulent Pipe Flow?
” J. Eng. Math.
, 29
, pp. 51
–62
.5.
Purnama
, A.
, 1988
, “Boundary Retention Effects Upon Contaminant Dispersion in Parallel Flows
,” J. Fluid Mech.
, 195
, pp. 393
–412
.6.
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
.7.
Ng
, C. O.
, 2002
, “On the Longitudinal Dispersion of Heavy Particles in a Horizontal Circular Pipe
,” Int. J. Eng. Sci.
, 40
, pp. 239
–250
.8.
Elder
, J. W.
, 1959
, “The Dispersion of Marked Fluid in Turbulent Shear Flow
,” J. Fluid Mech.
, 5
, pp. 544
–560
.9.
Sumer
, B. M.
, 1974
, “Mean Velocity and Longitudinal Dispersion of Heavy Particles in Turbulent Open-Channel Flow
,” J. Fluid Mech.
, 65
, pp. 11
–28
.10.
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
.11.
Mei
, C. C.
, 1992
, “Method of Homogenization Applied to Dispersion in Porous Media
,” Transp. Porous Media
, 9
, pp. 261
–274
.12.
Ng
, C. O.
, 2000
, “Dispersion in Particle-Laden Stream Flow
,” J. Eng. Mech.
, 126
(8
), pp. 779
–786
.13.
Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover, New York.
14.
Wood, W. L., 1993, Introduction to Numerical Methods for Water Resources, Oxford University Press, New York.
15.
Zheng, C., and Bennett, G. D., 1995, Applied Contaminant Transport Modeling, Van Nostrand Reinhold, New York.
Copyright © 2003
by ASME
You do not currently have access to this content.
