Hydrodynamics regions

The hydrodynamic region has received considerable attention over the years. Equations (2-63) and (2-64) follow the buoyancy-drag force balance theory. If we... 

Using two sets of data on water and one on methanol, which apparently fell in the hydrodynamic region, Ivey (1967) obtained the relation... 

For liquid metal boiling, however, Eq. (2-67) showed poor agreement with the experimental results of Bobrovich et al. (1967). In Ivey s correlations, it is expected that the thermodynamic region will not normally be applicable to liquid metals, because their bubble growth is very rarely thermally controlled. Consequently, in this case, Eq. (2-64) for the hydrodynamic region is applicable and is combined with Eq. (2-62), leaving the ratio [tj(tw + td) as a variable ... 

Figures 11 and 12 illustrate the flow patterns for the basket and the paddle apparatus, respectively. An undertow can be observed visually in the paddle apparatus for stirring rates exceeding 125 rpm. The hydrodynamic region below the paddle, and, even more pronounced, below the basket, appears to be somehow separated from the region above the stirring device. Diffusion-driven exchange of dissolved mass between these two regions is unhampered, but little...

J Figure 7-2 Hydrodynamic regions observed by (a) Turpin and Huntington37 and (f>) Specchia et al.3J... 

In order to compare the equations derived above let us consider Eq. (45) in the hydrodynamic region, when k is small. Note that the first Eq. (44) is just the mass-density conservation law, and to analyze the second one (45) one has to know the properties of the factors A k) and B(k) in the hydrodynamic limit. Note that the cross-correlation coefficients ( and can be neglected in this case. 

Using eqn. 5.2.6, /2) is evaluated. In the second hydrodynamic region (r > a) only appears, since does not contribute even powers of qr for symmetrical electrolytes. The force -f Fy is to a good approximation given by... 

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