Bubble formation flow rates

The bubble size in these cells tends to be the smallest (10 to 50 Im) as compared to the dissolved-air and dispersed-air flotation systems. Also, very httle turbulence is created by the bubble formation. Accordingly, this method is attractive for the separation of small particles and fragile floes. To date, electroflotation has been applied to effluent treatment and sludge thickening. However, because of their bubble generation capacity, these units are found to be economically attractive for small installations in the flow-rate range of 10 to 20 mVh. Electroflotation is not expected to be suitable for potable water treatment because of the possible heavy metal contamination that can arise due to the dissolution of the electrodes. 

Cavitation corrosion occurs when a surface is exposed to pressure changes and high-velocity flows. Under pressure conditions, bubbles form on the surface. Implosion of the bubbles causes local pressure changes sufficiently large to flake off microscopic portions of metal from the surface. The resulting surface roughness acts to promote further bubble formation, thus increasing the rate of corrosion. 

This equation has been experimentally verified in liquids, and Figure 2 shows that it applies equally well for fluidized solids, provided that G is taken as the flow rate in excess of minimum fluidization requirements. In most practical fluidized beds, bubbles coalesce or break up after formation, but this equation nevertheless gives a useful starting point estimate of bubble size. 

BWRs do not operate with dissolved boron like a PWR but use pure, demineralized water with a continuous water quality control system. The reactivity is controlled by the large number of control rods (>100) containing burnable neutron poisons, and by varying the flow rate through the reactor for normal, fine control. Two recirculation loops using variable speed recirculation pumps inject water into the jet pumps inside of the reactor vessel to increase the flow rate by several times over that in the recirculation loops. The steam bubble formation reduces the moderator density and... 

Tray efficiency is as high as for bubble caps and almost as high as sieve trays. It is higher than bubble caps in some systems. Performance indicates a close similarity to sieve trays, since the mechanism of bubble formation is almost identical. The real point of concern is that the efficiency falls off quickly as the flow rate of vapor through the holes is reduced close to the minimum values represented by the dump point, or point of plate initial activation. Efficiency increases as the tray spacing increases for a given throughput. 

Cavitation is the term to used to describe the formation of bubbles in liquid flow when the local pressure falls to around vapor pressure. Two effects are experienced in the pump a reduction in flow rate (accompanied. 

As gas flows with fixed volumetric flow rate through an orifice gas sparger, bubbles are formed with diameter Analysis of bubble formation is based on the balance of buoyant force, as the bubbles leave the orifice and rise through the media (irApgDl)/6 with rest of the forces resulting from the surface tension, Trad. 

Janssen and Hoogland (J3, J4a) made an extensive study of mass transfer during gas evolution at vertical and horizontal electrodes. Hydrogen, oxygen, and chlorine evolution were visually recorded and mass-transfer rates measured. The mass-transfer rate and its dependence on the current density, that is, the gas evolution rate, were found to depend strongly on the nature of the gas evolved and the pH of the electrolytic solution, and only slightly on the position of the electrode. It was concluded that the rate of flow of solution in a thin layer near the electrode, much smaller than the bubble diameter, determines the mass-transfer rate. This flow is affected in turn by the incidence and frequency of bubble formation and detachment. However, in this study the mass-transfer rates could not be correlated with the square root of the free-bubble diameter as in the surface renewal theory proposed by Ibl (18). 

A common dimensionless number used to characterize the bubble formation from orifices through a gas chamber is the capacitance number defined as Nc — 4VcgpilnDoPs. For the bubble-formation system with inlet gas provided by nozzle tubes connected to an air compressor, the volume of the gas chamber is negligible, and thus, the dimensionless capacitance number is close to zero. The gas-flow rate through the nozzle would be near constant. For bubble formation under the constant flow rate condition, an increasing flow rate significantly increases the frequency of bubble formation. The initial bubble size also increases with an increase in the flow rate. Experimental results are shown in Fig. 6. Three different nozzle-inlet velocities are used in the air-water experiments. It is clearly seen that at all velocities used for nozzle air injection, bubbles rise in a zigzag path and a spiral motion of the bubbles prevails in air-water experiments. The simulation results on bubble formation and rise behavior conducted in this study closely resemble the experimental results. 

First, they cannot be used for the evaluation of volumes of individual bubbles. Only an average bubble volume is obtained. Bubble formation is generally a cyclic phenomenon, and for a definite flow rate in a particular system, the frequency and the bubble volume are time-independent. However, there are situations where each bubble is followed by smaller secondary bubbles. In such cases, the above methods cannot yield reliable values and photographic methods have to be resorted to. 

Reservoir method This method makes use of the displacement principle. Brine or any other saturated solution in which a gas has low solubility is used as the liquid. Gas from the column is collected in a burette from which the displaced liquid flows to a reservoir. As the gas collection proceeds, the gas is collected under increasing pressure conditions, thereby changing the flow rate as well as the frequency of bubble formation. In order to collect gas under atmospheric conditions, the levels of the liquid in the burette and the reservoir must always be kept equal. This requires manual adjustments. 

Similarly, if conditions are such that on the air-supply side of the orifice the pressure is maintained constant during bubble formation, as the bubble size increases, the pressure inside it decreases, resulting in a higher flow rate... 

Tate s law makes use of bubble formation in the measurement of the surface tension of a liquid, and hence the fact that surface tension influences the bubble volume is obvious. At flow rates tending to zero, the bubble volume is such that the upward force due to buoyancy is balanced by the downward force of surface tension. So, an increase in surface tension should... 

Some investigators have excluded the surface-tension force from the analysis of bubble formation since its effects have been found to be negligible at high flow rates. 

In order to verify the importance of surface tension, a large amount of data has been collected for bubble formation in liquids having different surface tension but nearly constant viscosity. Liquids of both low and high viscosity have been used. The equation is seen to agree excellently with the data obtained over a wide range of flow rates. It was also observed that for highly viscous liquids the surface-tension effects become negligible at much smaller flow rates. 

The constant pressure condition arises when the chamber volume tends to infinity (in practice, more than about a liter), and the pressure in the gas chamber remains constant. As the pressure in the bubble varies with the extent of its formation, the pressure difference across the forming device also varies, thereby bringing about a condition of changing flow rates. 

From Eq. (89), the surface tension is seen to influence the bubble volume in two ways, viz. by varying the flow rate in the expanding bubble, and by causing a downward force at the periphery of the orifice. Even if the effect of the surface tension becomes negligible at the orifice tip due to either the small size of the orifice or the nonwettable character of the system, it still influences the bubble volume because of the variations in flow during the bubble formation. 

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