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Stokes’ Settling and Chemical Reactivity of Suspended Particles in Natural Waters

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Suspended Solids in Water

Part of the book series: Marine Science ((MR,volume 4))

Abstract

Equations are given for the Stokes settling velocities of the following particle shapes: the sphere, oblate spheroid, prolate spheroid, circular cylinder, elliptic cylinder, disc, and hemispherical cap. Dissolution of calcareous and silicate particles settling through ocean water, based on literature data, is analyzed in terms of a model for dissolution rate independent of the particle surface area, and a model for dissolution rate dependent on a surface reaction. The settling of dissolving particles in the presence of a countercurrent of upwelling water may lead to formation of thin nepheloid layers. Settling of calcite crystals through a stratified water column is treated as a case of variable nucleation (production) rates, dissolution and agglomeration of crystals en route to the bottom. A stochastic model presented in the paper gives a reasonably simple method for treating transient transport of particles in a physically heterogeneous water column.

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References

  • Allen, T., Particle Size Measurement, Chapman and Hall, London, 1968.

    Google Scholar 

  • Berger, W. H., Foraminiferal ooze: solution at depths, Science, 156, 383–385, 1967.

    Article  Google Scholar 

  • Berqer, W. H., Radiolarian skeletons: solution at depths, Science, 159, 1237–1239, 1968.

    Article  Google Scholar 

  • Berner, R. A., Principles of Chemical Sedimentology, McGraw-Hill, New York, 1971.

    Google Scholar 

  • Biscaye, P. E., Mineraloay and sedimentation of Recent deep-sea clay in the Atlantic Ocean and adjacent seas and oceans, Bull. Geol. Soc. America, 76, 803–832, 1965.

    Article  Google Scholar 

  • Breach, D. R., Slow flow past ellipsoids of revolution, J. Fluid Mech., 10, 306–314, 1961.

    Article  Google Scholar 

  • Brenner, H,, The Stokes resistance of a slightly deformed sphere, Chem. Eng. Sci., 19, 519–539, 1964.

    Article  Google Scholar 

  • Brunskill, G. J., Fayettevtlle Green Lake, New York. II. Precipitation and sedimentation of calcite in a meromictic lake with laminated sediments, Limol. Oceanogr., 14, 830–847, 1969.

    Article  Google Scholar 

  • Brunskill, G. J., Supplementary Physical and Chemical Data for Fayetteville Green Lake, N. Y., Freshwater Institute, Fisheries Research Board of Canada, Winnipeg, Man., 55 p., mimeogr., 1970.

    Google Scholar 

  • Brunskill, G. J., and S. D. Ludlam, Fayetteville Green Lake, New York. I. Physical and chemical limnology, Limnol. Oceanogr., 14, 817–829, 1969.

    Article  Google Scholar 

  • Chester, R., Geological, geochemical and environmental implications of the marine dust veil, in The Changing Chemistry of the Oceans, Proc. 20th Nobel Symposium, edited by D. Dyrssen and D. Jagner, Wiley Interscience, New York, 291–305, 1972.

    Google Scholar 

  • Craig, H., Abyssal carbon and radiocarbon in the Pacific, J.Geophys. Res., 74, 5491–5506, 1969.

    Article  Google Scholar 

  • Culver, D. A., and G. J. Brunskill, Fayetteville Green Lake, New York, V. Studies of primary production and Zooplankton in a meromictic marl lake, Limnol. Oceanogr., 14, 862–873, 1969.

    Article  Google Scholar 

  • Dacey, M, F., Recurring random walk model for sediment transport, in preparation, 1973.

    Google Scholar 

  • Garrels, R. M., and R. M. Dryer, Mechanism of limestone replacement at low temperatures and pressures, Bull. Geol. Soc. America, 63, 325–379, 1952.

    Article  Google Scholar 

  • Gibbs, R. J., The geochemistry of the Amazon River system, Bull. Geol. Soc. America, 78, 1203–1232, 1967.

    Article  Google Scholar 

  • Gibbs, R. J., M. D. Matthews, and D. A. Link, The relationship between sphere size and settling velocity, J. Sed. Petrol., 41, 7–18, 1971.

    Google Scholar 

  • Goldberg, E. D., Minor elements in sea water, in Chemical Oceanography, vol. 1, edited by J. P. Riley and G. Skirrow, 163–196, Academic Press, New York, 1965.

    Google Scholar 

  • Hurd, D. C, Factors affecting solution rate of biogenic opal in sea water, Earth Planet. Sci. Lett., 15, 411–417, 1972.

    Article  Google Scholar 

  • Hutchinson, G. E., A Treatise on Limnology, vol. 2, Wiley, New York, 1967.

    Google Scholar 

  • Jacobs, M. B., and M. Ewing, Mineralogy of particulate matter suspended in sea water, Science, 149, 179–180, 1965.

    Article  Google Scholar 

  • Krey, J., Detritus in the ocean and adjacent sea, in Estuaries, Amer. Assoc. Adv. Sci. Pub. 83, edited by G. H. Lauff, pp. 389–394, Amer. Assoc. Adv. Sci., Washington, D. C., 1967.

    Google Scholar 

  • Kuo, C. Y., Free Falling Particle in Density Stratified Fluid, Completion Report A-032-PR, Water Resources Research Institute, University of Puerto Rico, Mayagtiez, P. R., 48 pp., mimeogr., 1972.

    Google Scholar 

  • Lal, D., and A. Lerman, Dissolution and behavior of particulate biogenic matter in the ocean: some theoretical considerations, J. Geophys. Res., 78, 7100–7111, 1973.

    Article  Google Scholar 

  • Lamb, H., Hydrodynamics, 6th edition, Dover, New York, 1932 (1945).

    Google Scholar 

  • Lerman, A., Time to chemical steady states in lakes and ocean, Adv. Chem. Ser., 106, 30–76, 1971.

    Article  Google Scholar 

  • Lerman, A., F. T. Mackenzie, and L. B. Plummer, Mineral dissolution and precipitation: S-shaped kinetics, Eos Trans. AGU, 54(4), 341, 1973.

    Google Scholar 

  • Levich, V. G., Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs, N. J., 1962.

    Google Scholar 

  • Manheim, F. T., R. H. Meade, and G. C. Bond, Suspended matter in surface waters of the Atlantic continental margin from Cape Cod to the Florida Keys, Science, 167, 371–376, 1970.

    Article  Google Scholar 

  • Morse, J. W., and R. A. Berner, Dissolution kinetics of calcium carbonate in sea water: II. A kinetic origin for the lysocline, Amer. J. Sci., 272, 840–851, 1972.

    Article  Google Scholar 

  • Munk, W. H., Abyssal recipes, Deep Sea Res., 13, 707–730, 1966.

    Google Scholar 

  • Munk, W. H., and G. A. Riley, Absorption of nutrients by aquatic plants, J. Mar. Res., 11, 215–240, 1952.

    Google Scholar 

  • Nielsen, A. E., Kinetics of Precipitation, Macmillan, New York, 1964.

    Google Scholar 

  • Pasquill, F., Atmospheric Diffusion, Van Nostrand, New York, 1962.

    Google Scholar 

  • Payne, L. E., and W. H. Pell, The Stokes flow problem for a class of axially symmetric bodies, J. Fluid Mech., 7, 529–549, 1960.

    Article  Google Scholar 

  • Peterson, M. N. A., Calcite: rates of dissolution in a vertical profile tn the Central Pacific, Science, 154, 1542–1544, 1966.

    Article  Google Scholar 

  • Plummer, L. N., Rates of Mineral-Aqueous Solution Reactions, Ph. D. thesis, Dept. Geological Sciences, Northwestern Univ., Evanston, 111., 1972.

    Google Scholar 

  • Redfield, A. C., B. H. Ketchum, and F. A. Richards, The influence of organisms on the composition of sea-water, in The Sea, vol. 2, edited by M. N. Hill, pp. 26–77, Wiley Interscience, New York, 1963.

    Google Scholar 

  • Riley, G. A., Particulate and organic matter in sea water, Adv.Mar. Biol., 8, 1–118, 1970.

    Article  Google Scholar 

  • Shutz, D. F., and K. K. Turekian, The investigation of geographical and vertical distribution of several trace elements in sea water using neutron activation analysis, Geochim. Cosmochim. Acta, 29, 259–313, 1965.

    Article  Google Scholar 

  • Smith, F. B., The turbulent spread of a falling cluster, Adv. Geophys., 6, 193–210, 1959.

    Article  Google Scholar 

  • Somayajulu, B. L. K., D. Lal, and S. Kusumgar, Man-made carbon-14 in deep Pacific waters: transport by biological skeletal material, Science, 166, 1397–1399, 1969.

    Article  Google Scholar 

  • Sorokin, Y. I., Microbial activity as a biogeochemical factor in the ocean, in The Changing Chemistry of the Oceans, Proc. 20th Nobel Symposium, edited by D. Dyrssen and D. Jagner, 189–204, Wiley Interscience, New York, 1972.

    Google Scholar 

  • Stommel, H., Trajectories of small bodies sinking slowly through convection cells, J. Mar. Res., 8, 24–29, 1949.

    Google Scholar 

  • Taylor, T.D., Low Reynolds number flows, in Basic Developments in Fluid Dynamics, vol. 2, edited by M. Holt, pp. 183–215, 1968.

    Google Scholar 

  • Turekian, K.K., A. Katz, and L. Chan, Trace element trapping in pteropod tests, Limnol. Oceanogr., 18, 240–249, 1973.

    Article  Google Scholar 

  • Weber, W.J., Physicochemical Processes for Water Quality Control, Wiley Interscience, New York, 1972.

    Google Scholar 

  • Williams, P. M., J. A. McGowan, and M. Stuiver, Bomb 14C in deep sea organisms, Nature, 227, 375–376, 1970.

    Article  Google Scholar 

  • Wollast, R., Kinetics of the alteration of K-feldspar in buffered solutions at low temperature, Geochim. Cosmochim. Acta, 31, 635–648, 1967.

    Article  Google Scholar 

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© 1974 Plenum Press, New York

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Lerman, A., Lal, D., Dacey, M.F. (1974). Stokes’ Settling and Chemical Reactivity of Suspended Particles in Natural Waters. In: Gibbs, R.J. (eds) Suspended Solids in Water. Marine Science, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8529-5_2

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  • DOI: https://doi.org/10.1007/978-1-4684-8529-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8531-8

  • Online ISBN: 978-1-4684-8529-5

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