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Sedimentological and fluid-dynamic implications of the turbulent bursting phenomenon in geophysical flows

Published online by Cambridge University Press:  11 April 2006

Roscoe G. Jackson
Roscoe G. Jackson
Affiliation:
Department of Geological Sciences, Northwestern University, Evanston, Illinois 60201
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Abstract

The bursting process in turbulent boundary layers provides new insight on turbulence phenomena, mechanics of sedimentation, and genesis of bedforms in natural geophysical flows. Recent visualization experiments suggest that the turbulent boundary layer can be divided into an inner zone, whose essential characteristics scale with inner (wall) variables, and an outer zone, whose properties scale with the fluid-dynamic variables of the entire flow. The inner zone is distinguished by (i) a viscous sublayer displaying spanwise alternations of high-and low-speed streaks and (ii) episodic disruption by lift-ups of low-speed streaks. Oscillatory growth and breakup stages of the Stanford model of bursting characterize the turbulent structure of the outer zone. The burst cycle exists in turbulent boundary layers of all natural flows except perhaps (i) open-channel flows in the upper part of the upper flow regime and (ii) wind-generated surface waves.

Fluid motions described as kolks and boils in incompressible open-channel flows correspond to the oscillatory growth stage and the late oscillatory growth and breakup stages, respectively, of the Stanford model of bursting. Supporting evidence includes (i) close similarity of gross fluid motions, (ii) equivalent scaling of boils and bursts, and (iii) intensification of boils and bursts in adverse pressure gradients and over rough beds. McQuivey's (1973) turbulence measurements show that the Eulerian integral time scale TE scales with the same outer variables as boil periodicity and burst periodicity. It is hypothesized that TE equals the mean duration of bursts at a point in the flow.

Bedforms governed by the turbulent structure of the inner zone (microforms) cannot form if the sublayer is disrupted by bed roughness. The conditions for the existence of two common microforms and their spacings scale with the inner variables. Grain roughness increases the vertical intensity of the turbulence (by enhancing lift-ups) within the inner zone, thereby explaining textural differences between the coarse ripple and fine ripple bed stages of Moss (1972).

Mesoforms respond to the fluid-dynamical regime in the outer zone and scale with the outer variables. The mean spacing of dunelike large-scale ripples in equilibrium open-channel flows is proportional to the boundary-layer thickness and equals the length scale formed by the product of the free-stream velocity and the boil period.

Strong upward flow in a burst provides the vertical anisotropy in the turbulence which is needed to suspend sediment. Bursting promotes the entrain-ment of more and coarser sediment than tractive forces alone can accomplish.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 77 , Issue 3 , 8 October 1976 , pp. 531 - 560
Copyright
© 1976 Cambridge University Press

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References

Allen, J. R. L. 1964 Primary current lineation in the Lower Old Red Sandstone (Devonian), Anglo-Welsh Basin. Sedimentology, 3, 89–108.Google Scholar
Allen, J. R. L. 1968 Current Ripples. North-Holland.
Allen, J. R. L. 1970 Physical Processes of Sedimentation. Elsevier.
Allen, J. R. L. 1973 Phase differences between bed configuration and flow in natural environments, and their geological relevance. Sedimentology, 20, 323–329.Google Scholar
Allen, J. R. L. 1974 Reaction, relaxation, and lag in natural sedimentary systems: general principles, examples and lessons. Earth-Sci. Rev. 10, 263–342.Google Scholar
Allen, J. R. L. & Collinson, J. D. 1974 The superimposition and classification of dunes formed by unidirectional aqueous flows. Sediment. Geol. 12, 169–178.Google Scholar
Anding, M. G. 1970 Hydraulic characteristics of Mississippi River channels. U.S. Army Corps Engrs. Vicksburg, Miss., Potamology Investigations Rep. no. 19-3.Google Scholar
Antonia, R. A. 1972 Conditionally sampled measurements near the outer edge of a turbulent boundary layer. J. Fluid Mech. 56, 1–18.Google Scholar
Bagnold, R. A. 1956 The flow of cohesionless grains in fluids. Phil. Trans. A 249, 235–297.Google Scholar
Bagnold, R. A. 1966 An approach to the sediment transport problem from general physics. U.S. Geol. Surv. Prof. Paper, no. 422-1.Google Scholar
Bagnold, R. A. 1973 The nature of saltation and of 'bed-load' transport in water. Proc. Roy. Soc. A 332, 473–504.Google Scholar
Baker, V. R. 1973 Erosional forms and processes for the catastrophic Pleistocene Missoula floods in eastern Washington. In Fluvial Oeomorphology (ed. M. Morisawa), pp. 123–148. State University of New York, Binghamton.
Blinco, P. H. & Simons, D. B. 1975 Turbulent structure near smooth boundary. Proc. A.S.C.E., J. Engng. Mech. Div. 101, 241–255.Google Scholar
Bowden, K. F. 1962 Measurements of turbulence near the sea bed in a tidal current. J. Geophys. Res. 67, 3181–3186.Google Scholar
Bbodkey, R. S., Wallace, J. M. & Eckelmann, H. 1974 Some properties of truncated turbulence signals in bounded shear flows. J. Fluid Mech. 63, 209–224.Google Scholar
Carey, W. C. & Keller, M. D. 1957 Systematic changes in the beds of alluvial rivers. Proc. A.S.O.E., J. Hydraul. Div. 83(HY4), 1331.Google Scholar
Chabert, J. & Chauvin, J. L. 1963 Formation des dunes et des ridges dans les modeles fluviaux. Bull. Centre Rech. et d'Essais Chatou, no. 4.Google Scholar
Clark, J. A. 1968 A study of incompressible turbulent boundary layers in channel flow. J. Basic Engng, D 90, 455–468.Google Scholar
Clemens, S. (Mark Twain) 1896 Life on the Mississippi. Harper & Row.
Coleman, J. M. 1969 Brahmaputra River: channel processes and sedimentation. Sediment. Geol. 3, 129–239.Google Scholar
Corino, E. R. & Brodkey, R. S. 1969 A visual investigation of the wall region in turbulent flow. J. Fluid Mech. 37, 1–30.Google Scholar
Culbertson, J. K., Scott, C. H. & Bennett, J. P. 1972 Summary of alluvial channel data from Rio Grande conveyance channel, New Mexico, 1965-1969. U.S. Geol. Surv. Prof. Paper 562-J.Google Scholar
Einstein, H. A. & Chien, N., 1955 Effects of heavy sediment concentration near the bed on velocity and sediment distribution. U.S. Army Corps Engrs, Missouri River Div., Rep. Sediment Ser. no. 8.Google Scholar
Fisher, R. V. 1971 Features of coarse-grained, high-concentration fluids and their deposits. J. Sedim. Petrol. 41, 916–927.Google Scholar
Gordon, C. M. 1974 Intermittent momentum transport in a geophysical boundary layer. Nature, 248, 392–394.Google Scholar
Gordon, C. M. 1975a Period between bursts at high Reynolds number. Phys. Fluids, 18, 141–143.Google Scholar
Gordon, C. M. 1975b Sediment entrainment and suspension in a turbulent tidal flow. Mar. Geol. 18, M57–M64.Google Scholar
Graf, W. H. 1971 Hydraulics of Sediment Transport. McGraw-Hill.
Grass, A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233–255.Google Scholar
Gupta, A. K., Laxjter, J. L. & Kaplan, R. E. 1971 Spatial structure in the viscous sublayer. J. Fluid Mech. 50, 493–512.Google Scholar
Guy, H. P., Simons, D. B. & Richardson, E. V. 1966 Summary of alluvial channel data from flume experiments, 1956-1961. U.S. Geol. Surv. Prof. Paper, no. 462-1.Google Scholar
Hampton, M. A. 1972 The role of subaqueous debris flow in generating turbidity currents. J. Sedim. Petrol. 42, 775–793.Google Scholar
Haugen, D. A., Kaimal, J. C. & Bradley, E. F. 1971 An experimental study of Reynolds stress and heat flux in the atmospheric surface layer. Quart. J. Roy. Met. Soc. 97, 168–180.Google Scholar
Heathershaw, A. D. 1974 ‘Bursting’ phenomena in the sea. Nature, 248, 394–395.Google Scholar
Jackson, B. G. 1975a A depositions model of point bars in the lower Wabash River. Ph.D. dissertation, Illinois University, Urbana.
Jackson, R. G. 1975b Hierarchial attributes and a unifying model of bedforms composed of cohesionless material and produced by shearing flow. Bull. Geol. Soc. Am. 86, 1523–1533.Google Scholar
Jackson, R. G. 1976 Largescale ripples of the lower Wabash River. Sedimentology (in Press).Google Scholar
Jopling, A. V. 1965 Laboratory study of the distribution of grain sizes in cross-bedded deposits. In Primary Sedimentary Structures and their Hydrodynamic Interpretation (ed. G. V. Middleton), pp. 53–65. Soc. Econ. Paleontologists and Mineralogists, Spec. Publ. no. 12.
Jordan, G. F. 1962 Large submarine sand waves. Science, 136, 839–848.Google Scholar
Kaimal, J. C. & Btjsingbr, J. A. 1970 Case studies of a convective plume and a dust devil. J. Appl. Met. 9, 612–620.Google Scholar
Karcz, I. 1973 Reflections on the origin of some small-scale longitudinal streambed scours. In Fluvial Geomorphology (ed. M. Morisawa), pp. 149–173. State University of New York, Binghamton.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133–160.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Rundstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.Google Scholar
Komar, P. D. & Miller, M. C. 1973 The threshold of sediment movement under oscillatory water waves. J. Sedim. Petrol. 43, 1101–1110.Google Scholar
Kondrat'ev, N. E., Lyapin, A. N., Popov, I. V., Pin'Kovskii, S. I., Fedorov, N. N. & Yakunin, I.I., 1959 Channel Processes. Leningrad: Gidrometeoizdat.
Korchokha, Yu. M. 1968 Investigation of the dune movement of sediments on the Polomet' River. Sov. Hydrol. pp. 541–559.Google Scholar
Lane, E. W. & Eden, E. W. 1940 Sand waves in the lower Mississippi River. J. Western Soc. Engrs, 45, 281–291.Google Scholar
Latham, D. J. & Miksad, R. W. 1974 Electric field perturbations of the marine atmosphere by horizontal roll vortices. J. Geophys. Res. 79, 5592–5597.Google Scholar
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. AT. A.C.A. Rep. no. 1174.Google Scholar
Lauter, J. 1975 New trends in experimental turbulence research. Ann. Rev. Fluid Mech. 7, 307–326.Google Scholar
Lauter, J. & Badri Narayanan, M. A. 1971 Mean period of the turbulent production mechanism in a boundary layer. Phys. Fluids, 14, 182–183.Google Scholar
Lu, S. S. & Willmarth, W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481–511.Google Scholar
Mccave, I. N. 1971 Sand waves in the North Sea off the coast of Holland. Mar. Geol. 10, 199–225.Google Scholar
Mcquivey, R. S. 1973 Summary of turbulence data from rivers, conveyance channels, and laboratory flumes. U.S. Geol. Surv. Prof. Paper, no. 802-B.Google Scholar
Markson, R. 1975 Atmospheric electrical detection of organized convection. Science, 188, 1171–1177.Google Scholar
Matthes, G. H. 1947 Macroturbulence in natural stream flow. Trans. Am. Geophys. Un. 28, 255–262.Google Scholar
Merceret, F. J. 1972 An Experimental Study of Wind Velocity Profiles over a Wavy Surface. College of Maritime Studies, Delaware University, publ. 2MS065.
Mollo-Chbistensen, E. L. 1973 Intermittency in large-scale turbulent flows. Ann. Rev. Fluid Mech. 5, 101–118.Google Scholar
Monin, A. S. 1970 The atmospheric boundary layer. Ann. Rev. Fluid Mech. 2, 225–250.Google Scholar
Moss, A. J. 1972 Bed-load sediments. Sedimentology, 18, 159–220.Google Scholar
Nasneb, H. 1974 Über das Verhalten von Transportkorpern im Tidegebiet. Mitt. Franzius-Inst. 40, 1–149.Google Scholar
Nobdin, C. F. 1971 Statistical properties of dune profiles. U.S. Geol. Surv. Prof. Paper, no. 562-F.Google Scholar
Nychas, S. G., Hebshey, H. C. & Bbodkey, R. S. 1973 A visual study of turbulent shear flow. J. Fluid Mech. 61, 513–540.Google Scholar
Offen, G. R. & Kline, S. J. 1973 Experiments on the velocity characteristics of 'bursts' and on the interactions between the inner and outer regions of a turbulent boundary layer. Thermosci. Div., Mech. Engng Dept., Stanford Univ. Rep. no. MD-31.Google Scholar
Offen, G. R. & Kline, S. J. 1974 Combined dye-streak and hydrogen-bubble visual observations of a turbulent boundary layer. J. Fluid Mech. 62, 223–239.Google Scholar
Offen, G. R. & Kline, S. J. 1975 A proposed model of the bursting process in turbulent boundary layers. J. Fluid Mech. 70, 209–228.Google Scholar
Panofsky, H. A. 1974 The atmospheric boundary layer below 150 metres. Ann. Rev. Fluid Mech. 6, 147–177.Google Scholar
Rao, K. N., Nabasimha, R. & Badbi Nabayanan, M. A. 1971 The 'bursting' phenomenon in a turbulent boundary layer. J. Fluid Mech. 48, 339–352.Google Scholar
Raudkivi, A. J. 1963 Study of sediment ripple formation. Proc. A.S.C.E., J. Hydraul. Div. 89 (HY6), 15–33.Google Scholar
Raudkivi, A. J. 1966 Bed forms in alluvial channels. J. Fluid Mech. 26, 507–514.Google Scholar
Reineck, H.-E. & Singh, I. B. 1973 Depositional Sedimentary Environments. Springer.
Schxichting, H. 1968 Boundary-Layer Theory. McGraw-Hill.
Simons, D. B., Richabdson, E. V. & Nobdin, C. F. 1965 Sedimentary structures generated by flow in alluvial channels. In Primary Sedimentary Structures and Their Hydrodynamic Interpretation (ed. G. V. Middleton), pp. 34–52. Soc. Econ. Paleontologists and Mineralogists, Spec. Publ. no. 12.
Sleath, J. F. A. 1970 Velocity measurements close to the bed in a wave tank. J. Fluid Mech. 42, 111–123.Google Scholar
Sleath, J. F. A. 1974a Stability of laminar flow at seabed. Proc. A.S.C.E., J. Waterways, Harbors Coastal Engng Div. 100, 105–122.Google Scholar
Sleath, J. F. A. 1974b Velocities above bed in oscillatory flow. Proc. A.S.G.E., J. Waterways, Harbors Coastal Engng Div. 100, 287–304.Google Scholar
Smith, J. D. 1969 Studies of nonuniform boundary-layer flows. In Investigations of Turbulent Boundary Layers and Sediment-Transport Phenomena as Related to Shallow Marine Environments. Oceanography Dept., Washington University, Seattle, Rep. no. A69-7.
Smith, J. D. 1970 Stability of a sand bed subjected to a shear flow of low Froude number. J. Geophys. Res. 75, 5928–5940.Google Scholar
Snisohenko, B. F. 1966 Movement of sand dunes in natural streams. Sov. Hydrol. pp. 486–493.Google Scholar
Southard, J. B. 1971 Lift forces on suspended sediment particles in laminar flow: experiments and sedimentological interpretation. J. Sedim. Petrol. 41, 320–323.Google Scholar
Southard, J. B. & Boguchwal, L. A. 1973 Flume experiments on the transition from ripples to lower flat bed with increasing sand size. J. Sedim. Petrol. 43, 1114–1121.Google Scholar
Southard, J. B. & Dingler, J. R. 1971 Flume study of ripple propagation behind mounds of flat sand beds. Sedimentology, 16, 257–263.Google Scholar
Stride, A. H. 1970 Shape and size trends for sand waves in a depositional zone of the North Sea. Geol. Mag. 107, 469–477.Google Scholar
Stückbath, T. 1969 Die Bewegung von Großriffeln an der Sohl des Rio Paraná. Mitt. Franzius-Inst. 32, 266–293.Google Scholar
Sundboeg, A. 1956 The River Klaralven: a study of fluvial processes. Geog. Annaler, 38, 125–316.Google Scholar
Teleki, P. G. 1972 Wave boundary layers and their relation to sediment transport. In Shelf Sediment Transport: Process and Pattern (ed. D. J. P. Swift, T. B. Duane & O. H. Pilkey), pp. 21–59. Dowden, Hutchinson, and Ross, Stroudsburg, Pa.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press, Cambridge, Mass.
Tiffany, J. B. 1963 Review of research on channel stabilization of the Mississippi River 1931-1962. Channel Stabilization Comm., U.S. Army Corps Engrs, Vicksburg, Miss., Tech. Rep. no. 2.Google Scholar
Vanoni, V. A. & Hwang, L.-S. 1967 Relation between bed forms and friction in streams. Proc. A.S.C.E., J. Hydraul. Div. 93 (HY3), 121–144.Google Scholar
Van Veen, J. 1935 Sand waves in the North Sea. Hydrograph Rev. 12, 21–29.Google Scholar
Velikanov, M. A. & Mikhailova, N. A. 1950 The effect of large-scale turbulence on pulsations of suspended sediment concentration. Acad. Sci. Ussr Proc, Geogr. Geophys. Ser. 14, 421–424.Google Scholar
Wallace, J. M., Eckelmann, H. & Beodkby, R. S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 39–48.Google Scholar
Williams, P. B. & Kemp, P. H. 1971 Initiation of ripples on flat sediment beds. Proc. A.S.C.E., J. Hydraul. Div. 97, 505–522.Google Scholar
Willmabth, W. W. & Lu, S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 65–92.Google Scholar
Willmabth, W. W. & Lxj, S. S. 1974 Structure of the Reynolds stress and the occurrence of bursts in the turbulent boundary layer. In Turbulent Diffusion in Environmental Pollution (ed. F. N. Frenkiel & R. E. Munn), pp. 287–314. Advances in Geophysics, vol. 18A.
Yalin, M. S. 1972 Mechanics of Sediment Transport. Pergamon.
Znamenskaya, N. S. 1963 Experimental study of the dune movement of sediment. Sov. Hydrol. pp 253–275.Google Scholar