Effects of Density Ratio on Sedimentary Similitude

by Walter G. Field,

Serial Information: Journal of the Hydraulics Division, 1968, Vol. 94, Issue 3, Pg. 705-720

Document Type: Journal Paper


The question of whether or not significant similarity can be achieved in a movable bed model with a different value of density ratio from that in the prototype is examined. The equation of motion of a particle falling in a vertically oscillating column of fluid is made dimensionless by a linear scale which minimizes the effect of density ratio. It is shown that the average fall velocity of the particle in such circumstances is less than its terminal settling velocity in still fluid. By a combination of dimensional analysis and physical reasoning, scale ratios are derived which give better correlation for various density ratios in the particular case of the scour phenomenon considered than those suggested previously.

Subject Headings: Fluid velocity | Particle velocity | Sediment | Equations of motion | Settling velocity | Movable bed models | Particles | Oscillations

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