Field measurements of gas transfer at hydraulic structures are notoriously difficult and imprecise. A technique which measures the transfer of hydrocarbon tracer gases has been tested and developed further. It has been successfully tested with propane as the tracer gas. The technique shows promise for field applications using naturally occurring dissolved methane as the tracer gas.
The concept upon which most past analyses are based is that a continuum exists in aerated flow from 100 percent water, to air bubbles in water, to a water-air mixture, to an air-water mixture, to water droplets in air, to 100 percent air. Measurements of air concentration would seem to indicate that this is the case inasmuch as the air concentration varies in a continuous fashion over the depth of flow. J.M. Killen however, showed in high-speed photos taken during flume experiments in the mid-fifties, that the water surface remained 'intact but very contorted' with a very small quantity of flying droplets over the surface. Hence, a well-mixed continuum of increasing air and decreasing water over depth does not exist. This paper redefines some of the concepts of self-aerated flow and discusses the impacts of these concepts on the areas of interest.
This chapter will discuss the determination of diffusion coefficients in dilute solutions (i.e., the concentration of the solute is dilute). The most important factor in diffusion coefficients is the type of media that the solute is diffusing through: gas, liquid, or solid. Some order-of-magnitude values of diffusion coefficients are presented in Table 3.1, which indicates that the diffusion coefficient of a compound through a gas is four orders of magnitude greater than through a liquid and nine orders of magnitude greater than through a solid. This can make a significant difference in the rate of diffusion in the different media classifications. In fact, the manner in which the important physical process used as a model to describe “transport” is quite different for gases, liquids, and solids.
One of the most uncertain parameters in stepped spillway design is the length (from the crest) of boundary layer development. The normal velocity profiles responding to the steps as bed roughness are investigated in the developing non-aerated flow region. A detailed analysis of the logarithmic vertical velocity profiles on stepped spillways is conducted through experimental data to verify the computational code and numerical experiments to expand the data available. To determine development length, the hydraulic roughness and displacement thickness, along with the shear velocity, are needed. This includes determining displacement height d and surface roughness length z0 and the relationship of d and z0 to the step geometry. The results show that the hydraulic roughness height ks is the primary factor on which d and z0 depend. In different step height, step width, discharge and intake Froude number, the relations d/ks = 0.22–0.27, z0/ks = 0.06–0.1 and d/z0 = 2.2–4 result in a good estimate. Using the computational code and numerical experiments, air inception will occur over stepped spillway flow as long as the Bauer-defined boundary layer thickness is between 0.72 and 0.79.