Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-23T18:18:55.389Z Has data issue: false hasContentIssue false
  • English
  • Français

Report on the I.U.T.A.M. Symposium on the flow of fluid-solid mixtures

Published online by Cambridge University Press:  29 March 2006

J. F. Davidson ,
J. R. A. Pearson  and
V. A. Vanoni
J. F. Davidson
Affiliation:
Department of Chemical Engineering, University of Cambridge
J. R. A. Pearson
Affiliation:
Department of Chemical Engineering, University of Cambridge
V. A. Vanoni
Affiliation:
W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

A Symposium on ‘The flow of fluid-solid mixtures’ was held at the University of Cambridge from 24 to 28 March 1969, under the auspices of the International Union of Theoretical and Applied Mechanics. There were 104 participants, representing 19 countries, and attendance was by invitation only. Since there will be no publication of the proceedings in full, the following condensed account of the developments described at the various sessions has been prepared for publication by three of the participants, all of whom were involved in the organization of the Symposium.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 2 , 10 November 1969 , pp. 375 - 405
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

(An asterisk placed before a name indicates a lecture given at the Symposium.)
Angelino, H., Charzat, C. & Williams, R. 1964 Chem. Engng Sci. 19, 289.
Apperly, L. W. 1968 Entrainment of solid granular particles by turbulent flow of water. Ph.D. Thesis, Civ. Engng Dep, Univ. of Auckland, Auckland, New Zealand.
Bagnold, R. A. 1954 Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. Roy. Soc. Lond. A, 225, 49–63.Google Scholar
Bagnold, R. A. Turbulent pressure. See: An approach to the sediment transport problem from general physics. U.S. Geol. Surv. Prof. Paper 422-1 (1966).
Batchelor, G. K. The stress in a suspension of non-spherical rigid particles in a pure straining motion. To be submitted to J. Fluid Mech.
Batchelor, G. K., Binnie, A. M. & Phillips, O. M. 1955 The mean velocity of discrete particles in turbulent flow in a pipe. Proc. Phys. Soc. B, 68, 1095–1104.Google Scholar
Benbow, J. J. Screw extrusion of clay like materials. See: Trans Br. Cer. Soc. 67, 543 (1968).Google Scholar
Berry, C. G. & Fox, T. G. 1968 The viscosity of polymers and their concentrated solutions Adv. Poly. Sci. 5, 261.Google Scholar
Birkhoff, G. & Carter, D. 1957 J. Rat. Mech. Anal. 6, 769.
Blench, T. 1966 Mobile-bed Fluviology. T. Blench and Associates, Edmonton, Alberta, Canada.
Blench, T. Coordination in mobile-bed hydraulics, submitted to J. Hydr. Res.
Bonapace, A. C. Energy considerations on the hydraulic transport of particle systems in full suspension.
Bowen, R. M. Constitutive theory for a fluid-solid mixture with phase transformations. See: J. Chem. Phys. 49, 1625 (1968); Arch. Rat. Mech. & Anal. (in the Press).
Brooks, N. H. 1958 Mechanics of streams with beds of fine sand Trans. ASCE, 123, 526–594.Google Scholar
Brush, L., Fox, D. G. & Ho, H. W. Accelerated particle motion with applications to sediment suspensions in open channels.
Calderbank, P. H. 1967 The Chemical Engineer. Instn. Chem. Engrs no. 212, CE 209.
Colby, B. R. 1960 Discontinuous rating curves. U.S. Dept. of Agriculture, Agricultural Research Service Rep. ARS 41-36, April.Google Scholar
Collins, R. 1967 J. Fluid Mech. 28, 97.
Cooper, R. H. & Peterson, A. W. 1968 Analysis of comprehensive bed-load data from flumes, presented to ASCE Speciality Conference, MIT, 21-23 Aug.
Daily, J. W. & Chu, T. N. 1961 Rigid particle suspensions in turbulent shear flow: some concentration effects. MIT Hydro. Lab. Tech. Rep. no. 48.Google Scholar
Daily, J. W. & Hardison, R. L. 1964 Rigid particle suspensions in turbulent shear flow: measurement of total head, velocity and turbulence with impact tubes. MIT Hydro. Lab. Rep. no. 67.Google Scholar
Davidson, J. F. & Harrison, D. 1963 Fluidised Particles. Cambridge University Press.
Davies, R. M. & Taylor, G. I. 1950 Proc. Roy. Soc. Lond. A, 200, 375.
De Vries, M. 1966 Application of lummophores in sand transport. Delft Hyd. Lab. Publ. no. 39.Google Scholar
De Vries, M. Determination of bed-load transport from two-dimensional dispersion of fluorescent tracers released at a point source.
Eichhorn, J.-L., Sackmann, L.-A. & Gebel, C. A hydrodynamic study of groups of ordered and polydispersed particles in suspension.
Einstein, H. A. & Barbarossa, N. L. 1952 River channel roughness Trans. ASCE, 117, 1121–1132.Google Scholar
Einstein, H. A. & Chien, N. 1955 Effects of heavy sediment concentration near the bed on velocity and sediment distribution, U.S. Army, Missouri R. Corps of Engrs., Omaha, Nebr., MRD Series 8.
Elata, C. & Ippen, A. T. 1961 The dynamics of open channel flow with suspensions of neutrally buoyant particles. MIT Hydro. Lab. Rep. no. 45.Google Scholar
Engelund, F. 1966 Hydraulic resistance of alluvial streams J. Hyd. Div., ASCE, 92, no. HY 2, 315–326.Google Scholar
Engelund, F. 1967 Closing discussion of Engelund (1966). J. Hyd. Div., ASCE, 93, no. HY 4, 294.Google Scholar
Engelund, F. On the formation of antidunes.
Gal-Or, B. Viscous flow through drop, bubble or solid particle assemblages. See: Chem. Engng Sci. 23, 1431 (1968).
Giesekus, H. 1962 Rheol. Acta, 2, 50.
Godard, K. & Richardson, J. F. 1968 Tripartite Chemical Engineering Conference, Montreal. Fluidization, II, p. 26. To be published by Instn. Chem. Engrs.
Goddard, J. D. Rheological effects of thermal fluctuations in suspensions. Submitted to J. Coll. & Interfac. Sci.
Goddard, J. D. & Miller, C. 1967 Non-linear effects in the rheology of dilute suspensions J. Fluid Mech. 28, 657.Google Scholar
Goldschmidt, V. W. Turbulent diffusion of small particles in a free jet.
Gupalo, YU. P. The motion of solid particles in a screw extruder flow. See: Mechanics of separation of particles in curvilinear flows. Dokl. Akad. Nauk, U.S.S.R. 180, 1419 (1968).Google Scholar
Hall, W. F. Viscosity of magnetic suspensions. See: J. NEURINGER & R. ROSENWEIG, Phys. Fluids, 7, 1927 (1964); J. P. MCTAGUE, J. Chem. Phys. (in the Press); W. F. HALL & S. N. BUSENBERG. J. Chem. Phys. (in the Press).
Harrison, D. & Leung, L. S. 1962 Instn Chem. Engrs Symposium on the interaction between fluids and particles, p. 127.
Henderson, F. 1966 Open Channel Flow. London: Macmillan.
Hill, I. K. 1967 Sediment transport at large values of Shields's parameter. Ph.D thesis, Civ. Engng Dep, Univ. of Canterbury, Christchurch, New Zealand.
Hill, I. K. Sediment transport at large values of Shields's shear parameter.
Hino, M. 1963a Turbulent flow with suspended particles J. Hyd. Div., ASCE, 89, no. HY4, 161.Google Scholar
Hino, M. 1963b Turbulent characteristics of solid-liquid two-phase flow. Proc. 13th Japan natn Congr. Appl. Mech. p. 148.
Hino, M. 1965 Note on frictional coefficient of solid-liquid two-phase flow. Proc. 15th Japan natn Congr. Appl. Mech. p. 197.
Hino, M. Turbulent structure and frictional coefficients of fluid-solid mixtures.
Hinze, J. O. The ‘virtual added mass' of a discrete particle in an unsteady flow field.
Housner, G. W. 1958 The mechanism of sand blows Bull Seismological Soc. Am. 49, 155–161.Google Scholar
Hovmand, S. 1968 Instn Chem. Engrs Symposium on the engineering of gas-solid reactions, Brighton.
Inglis, C. C. 1968 Systematic evaluation of river regime J. Waterways and Harbors, ASCE, 94, no. WW1, 109–114.Google Scholar
Ippen, A. T. Transport of solids by turbulent flow in channels and conduits.
Jobson, H. E. 1968 Vertical mass transfer in open channels. Ph.D. dissertation, Dep. of Civ. Engng, Colorado State Univ.
Kehoe, P. W. K. 1969 The effect of particle size on slugging fluidised beds. Ph.D. dissertation, Univ. of Cambridge.
Kennedy, J. F. 1963 The mechanics of dunes and antidunes in erodible channels J. Fluid Mech. 16, 521–544.Google Scholar
Kennedy, J. F. & Roberts, C. P. R. Mean velocity and longitudinal dispersion coefficients of particles and fluid in turbulent pipe flows of particle suspensions.
De Koning, J. Field observations of flow of sand-water mixtures in dredging operations.
Koryavov, P. P. The transport of individual particles by the flow of viscous incompressible fluid.
Krey, H. 1927 Die Quer-geschwindigkitskurve bei turbulenter Stromung Z. angew. Math. Mech. 7, no. 2.Google Scholar
Krone, R. B. Cohesive particle aggregate structures. See: A study of rheologic properties of estuarial sediments. Final rep. Hydr. Engng Lab., Univ. of Calif. Berkeley, Sept. 1963.
Kucera, P. S. The erosion of elbows during the pneumatic conveyance of solid materials and its reduction by means of a screw insert.
Kunii, D. & Levenspiel, O. 1969 Fluidization Engineering, p. 111. New York: Wiley.
Lacey, G. 1958 Flow in alluvial channels with sandy mobile beds. Proc. Inst. Civ. Engrs, 9.Google Scholar
Laursen, E. M. 1952 Observations on the nature of scour. Proc. Fifth Hyd. Conf., State Univ. of Iowa, Iowa City, Bul. 34, pp. 179–197.
Levi, I. I. 1957
Litwiniszyn, J. On dilute liquid suspension flow in a porous medium. See: On suspension flow in a porous medium, Int. J. Engng Sci. 5, 435 (1967); On some mathematical models of the suspension flow in porous medium, Chem. Engng Sci. 22, 1315 (1967).Google Scholar
Luque, R. F. 1967 Stability of sand deposits under an erosive flow. Res. Rep. 1248, Shell Exploration and Production Lab., Rijswijk, Holland.
Luque, R. F. Conditions for erosion of a sand bed by turbulent flow.
Mcmichael, F. C. Sedimentation in inclined tubes and its application for the design of high-rate sedimentation devices.
Maddock, T. JUN. 1968 Discussion of ‘recirculation and sand-feed type flume experiments’ by Guy, Rathbun and Richardson. J. Hyd. Div., ASCE, July, pp. 1139–1147.Google Scholar
Maddock, T. JUN. The indeterminate hydraulics of alluvial streams.
Mason, S. G. The microrheology of suspensions. See article by H. L. GOLDSMITH & S. G. MASON in Rheology: Theory and Applications (ed. F. R. Eirich), vol. 4, ch. 2, 85–205. (1968). New York: Academic Press. For a selection of recent original papers on the topics covered see:
Particle motion in sheared suspensions: S. Wakeya, C. L. Darabauer, & S. G. Mason Rheol. Acta 3, 264 (1967); C. L. DARABAUER & S. G. MASON, ibid. 3, 273 (1967); I. Y. Z. ZIA, R. G. COX & S. G. MASON, J. Coll. & Interf. Sci. (in the Press).
Particle behaviour in shear and electric fields: C. E. Chaffey & S. G. Mason, J. Coll. & Interf. Sci. (in the Press).
The kinetics of flowing dispersions: A. Karnis, H. L. Goldsmith & S. G. Mason J. Coll. & Interf. Sci. 22, 531–553 (1966); E. ANCZUROWSKI & S. G. MASON, J. Coll. & Interf. Sci. 23, 522–546 (1967); E. ANCZUROWSKI, R. G. COX & S. G. MASON, J. Coll. & Interf. Sci. 23, 547–562 (1967).
Miscellaneous: S. G. Mason, article in Surfaces and coatings related to paper and wood, pp. 3–23. Syracuse University Press, Syracuse 1967; I. Y. Z. ZIA, R. G. COX & S. G. MASON, Proc. Roy. Soc. Lond. A, 300, 421–441 (1967).
Massimilla, L. Solid particle properties and dense phase behaviour in gas-fluidized beds.
Matsen, J. M. The significance of bed height in slug-flow fluidization.
Matsuno, R. Gas interchange between a bubble and continuous phase in gas-solid fluidized bed. See: Mem. Faculty Engng, Kyoto Univ. 30, 1525 (1969).
Middleton, G. V. 1966 Experiments on turbidity currents. I. Motion of the head; II. Uniform flow of density currents; III. Deposition of sediment. Can. J. Earth Sci. 3, 523–546, 627–637; 4, 475–505.Google Scholar
Molerus, O. 1970 Chemie Ingenieur Technik. To be published.
Molerus, O. On the hydromechanics of the bubbling fluidized bed.
Naghdi, P. M. & Green, A. E. On the basic equations of mixtures. See: Int. J. Engng Sci. 3, 231 (1965); ibid. 6, 631, (1968); also A. E. GREEN & T. R. STEEL, Int. J. Engng Sci. 4 483 (1966); M. J. CROCHET & P. M. NAGHDI, Int. J. Engng Sci. 4, 383 (1966).
Nikolaevsky, V. N. On asymmetrical effects in dilute suspensions of rotating rigid particles in a viscous fluid and in anisotropic flows. See E. F. AFANAS'EV & V. N. NIKOLAEVSKY. On development of asymmetric hydrodynamics of suspension with rotating solid particles, in Problems of Hydrodynamics and Continuous Media (V. I. SEDOV anniversary volume) SIAM (1969); V. N. NIKOLAEVSKY & E. F. AFANAS'EV. On some examples of media with microstructure of continuous particles. Int. J. Solid Structures (in the Press); V. N. NIKOLAEVSKY, Dokl. Akad. Nauk, U.S.S.R. 184, 1304 (1969); Proc. 11th Intern. Congr. Appl. Mech. 1964, Springer: Berlin (1966), p. 862.
Nordin, C. F. 1968 Statistical properties of dune profiles. U.S. Geological Survey, Openfile Report.
Nordin, C. F. & Algert, J. H. 1966 Spectral analyses of sand waves. J. Hyd. Div., ASCE, no. HY 5, Sept. 1966, pp. 95–114.Google Scholar
Nordin, C. F. Dimensionless spectra of sand waves. To be presented in abstract form at 13th Congress of International Association for Hydraulic Research (1969) and published in full as a U.S.G.S. Professional Paper.
Oldroyd, J. G. Continuum theories of rheological behaviour of liquid-solid mixtures.
Ormiston, R. M., Mitchell, F. R. G. & Davidson, J. F. 1965 Trans. Instn Chem. Engrs, 43, T209.
Østergaard, K. Expansion of gas-liquid fluidized beds.
Otterman, B. & Lee, S. Particle migration in laminar mixing of a suspension with a clean fluid. Z. angew. Math. Phys. (in the Press).
Owen, P. R. 1969 Pneumatic transport J. Fluid Mech. 39, 407.Google Scholar
Park, W. H., Kang, W. K., Capes, C. E. & Osberg, G. L. 1969 Chem. Engng Sci. 24, 851.
Peter, P. The influence of expansion and grain shape on fluidization in natural geological conditions. This will be presented to Conference on Large Dams in 1970.
Raudkivi, A. J. & Apperley, L. W. Entrainment of solid granular particles by turbulent flow of water. See: APPERLEY, L. W., Ph.D. thesis, University of Auckland.
Reynolds, A. J. 1965 Waves on the erodible bed of an open channel J. Fluid Mech. 22, 113–133.Google Scholar
Reynolds, A. J. The development of a stream with an erodible bed.
Rietema, K. The dynamics of a fluidized system.
Roberts, C. P. R., Kennedy, J. F. & Ippen, A. T. 1967 Particle and fluid velocities of turbulent flows of suspensions of neutrally buoyant particles. MIT Hydro Lab. Rep. no. 103.Google Scholar
Roscoe, R. 1967 On the rheology of a suspension of viscoelastic spheres in a viscous liquid J. Fluid Mech. 28, 273.Google Scholar
Round, G. F. & Bolt, L. H. 1965 The pipeline flow of capsules. Part 8. An experimental investigation of transport in oil of single, denser than oil, spherical and cylindrical capsules Can. J. Chem. Engng, 43, no. 4, 197–205.Google Scholar
Round, G. F. Capsule pipeline research and development in Canada.
Rouse, H. 1937 Modern conceptions of the mechanics of fluid turbulence Trans. ASCE, 102, 463.Google Scholar
Rouse, H. 1940 Criteria for similarity in the transportation of sediment. Proc of First Hyd. Conf., State University of Iowa, Iowa City, Bull. no. 20, pp. 33–49.
Rowe, P. N. & Partridge, B. A. 1965 Trans. Instn Chem. Engrs, 43, T 157.
Rusinov, I. Y. & Zadvorny, G. M. 1956 no. 2, 29.
Sayre, W. W. An experimental investigation of vertical mass transfer of suspended sediment in turbulent open-channel flow. Submitted to Proc. 1969 Congr. Intern. Ass. Hyd. Res. and in final form to J. Hyd. Div. ASCE.
Schmitt-Von Schubert, B. 1969 Existence and uniqueness of normal shock waves in gas-particle mixtures J. Fluid Mech. 38, 633.Google Scholar
Shen, M., Hall, W. F. & De Wames, R. E. 1968 Molecular theories of rubber like elasticity and polymer viscoelasticity. J. Macromol. Sci. (Rev.), C2, 183.Google Scholar
Sutera, S. P. Variations of concentration and apparent viscosity in concentrated suspensions of rigid particles in low Reynolds number tube flow.
Sutherland, A. J. 1967 Proposed mechanism for sediment entrainment by turbulent flows J. Geophys. Res. 72, 6183–6194.Google Scholar
Stewart, P. S. B. & Davidson, J. F. 1967 Powder Tech. 1, 61.
Toei, R. & Matsuno, R. 1967 Proc. Int. Symp. Fluidization Eindhoven (ed. A. A. H. Drinkenburg), p. 271. Amsterdam: Netherlands Univ. Press
Uno, S. & Kintner, R. C. 1956 A.I.Ch.E. J. 2, 420.
Vanoni, V. A. 1953 Some effects of suspended sediment on flow characteristics, Proc. 5th Hyd. Conf., Univ. of Iowa, p. 137.
Vanoni, V. A. 1964 Measurements of critical shear stress for entraining fine sediments in a boundary layer. W. M. Keck Lab. of Hyd. and Water Res., Calif. Inst. of Tech., Pasadena, Calif., Rep. KH-R-7.
Vanoni, V. A. Entrainment of fine particles in a turbulent boundary layer.
Vanoni, V. A. & Nomicos, G. N. 1960 Resistance properties of sediment laden streams. Trans. ASCE, 125, I, 1140.Google Scholar
Vasiliev, O. F. 1958 (O. ϕ. no. 10, 34–39.
Vasiliev, O. F. A hydraulic consideration of the open-channel flow transporting sediment on a movable bed.
Von Kármá, T. 1937 The fundamentals of the statistical theory of turbulence J. Aero Sci. 4, no. 4, pp. 131–138.Google Scholar
Wegener, P. P. Dynamics of particle-vapour interaction in condensing supersonic flow.
Wuest, W. The hypersonic flow of dusty gases around two-dimensional bodies. To be submitted to Z. angew. Math. Mech.