. Collected reprints / Atlantic Oceanographic and Meteorological Laboratories [and] Pacific Oceanographic Laboratories. Oceanography FIGURE 5. The development of a transverse bed form. (A) Initiation; (B) growth; (C) equilibrium. (I) Sand transport rate; (2) shear velocity at bed; (3) erosion rate; (4) streamlines. From Wilson (1972). Transverse Bed Forms mode of formation. As noted by Wilson (1972), most transverse bed forms are probably caused by trans- verse wave perturbations in the flow. The problem is a complex one, and the solutions offered to date have not been altogether
. Collected reprints / Atlantic Oceanographic and Meteorological Laboratories [and] Pacific Oceanographic Laboratories. Oceanography FIGURE 5. The development of a transverse bed form. (A) Initiation; (B) growth; (C) equilibrium. (I) Sand transport rate; (2) shear velocity at bed; (3) erosion rate; (4) streamlines. From Wilson (1972). Transverse Bed Forms mode of formation. As noted by Wilson (1972), most transverse bed forms are probably caused by trans- verse wave perturbations in the flow. The problem is a complex one, and the solutions offered to date have not been altogether satisfactory. Summaries are presented by Allen (1968a, pp. 130-149), Kennedy (1969, p. 151), and Smith (1970, p. 5928). Smith points out that many of these studies are un- necessarily restrictive; they assume an eddy viscous mean flow but neglect the inertial terms in the equation of motion (Exner, 1925, in Raudkivi, 1967) or assume in- viscid irrotational flow (Kennedy, 1969). These assump- tions require an a priori phase shift in the velocity field relative to the interface disturbance in order for insta- bility to occur. Smith (1970) has undertaken a stability analysis employing inertial terms in the equations of motion. His results indicate that the interface is unstable with respect to infinitesimal perturbations of wavelength greater than the wavelength for which the inertia of the grains is important (wavelengths less than 10 times mean 570. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Atlantic Oceanographic and Meteorological Laboratories; Pacific Oceanographic Laboratories; United States. Environmental Science Services Administration. Research Laboratories; Environmental Research Laboratories (U. S. ). Washington, D. C. : U. S. Dept. of Commerce, Environmental Science Services Administration, Re
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