Overflow limit

As the open end of a rotating bowl does not have a retaining lip, there is a so-called overflow limit which generally limits solids throughputs to 80 te h ... 

With fixed-point arithmetic it is possible for filter calculations to overflow. The term overflow oscillation, sometimes also called adder overflow limit cycle, refers to a high-level oscillation that can exist in an otherwise stable filter due to the nonlinearity associated with the overflow of internal filter calculations. 

The most important feature of the pressure filters which use hydrauHc pressure to drive the process is that they can generate a pressure drop across the medium of more than 1 x 10 Pa which is the theoretical limit of vacuum filters. While the use of a high pressure drop is often advantageous, lea ding to higher outputs, drier cakes, or greater clarity of the overflow, this is not necessarily the case. Eor compressible cakes, an increase in pressure drop leads to a decrease in permeabiUty of the cake and hence to a lower filtration rate relative to a given pressure drop. 

Owing to the feed pan distance usually maintained on wet dmm cobbers, the wear encountered with coarser particles, and the feed velocities requited to move coarse particles, the recommended upper size limits for cobber separators is 10 mm in diameter. Individual ore characteristics requited to obtain Hberation determine the feed size in rougher and finisher feeds. For finishers, where all the nonmagnetics must be overflowed, a sufficiently fine size to accomplish the overflow must be obtained. Typical feed sizes for cobbers are from —841 fim (—20 mesh) to 10 mm for rougher, —420 fim (—35 mesh) to —297 fim (—48 mesh) and for finishers, —63 fim (—270 mesh) to —44 fim (—325 mesh). The magnetic content of the iton ores to be concentrated varies over fairly wide limits. Ores as low as 10 wt % Fe have been successfully treated, as have ores having up to 50 wt % or more Hon. 

However, the total number of equilibrium stages N, N/N,n, or the external-reflux ratio can be substituted for one of these three specifications. It should be noted that the feed location is automatically specified as the optimum one this is assumed in the Underwood equations. The assumption of saturated reflux is also inherent in the Fenske and Underwood equations. An important limitation on the Underwood equations is the assumption of constant molar overflow. As discussed by Henley and Seader (op. cit.), this assumption can lead to a prediction of the minimum reflux that is considerably lower than the actual value. No such assumption is inherent in the Fenske equation. An exact calculational technique for minimum reflux is given by Tavana and Hansen [Jnd. E/ig. Chem. Process Des. Dev., 18, 154 (1979)]. A computer program for the FUG method is given by Chang [Hydrocarbon Process., 60(8), 79 (1980)]. The method is best applied to mixtures that form ideal or nearly ideal solutions. 

Detention efficiency. Conversion from the ideal basin sized by detention-time procedures to an actual clarifier requires the inclusion of an efficiency factor to account for the effects of turbulence and nonuniform flow. Efficiencies vaiy greatly, being dependent not only on the relative dimensions of the clarifier and the means of feeding but also on the characteristics of the particles. The cui ve shown in Fig. 18-83 can be used to scale up laboratoiy data in sizing circular clarifiers. The static detention time determined from a test to produce a specific effluent sohds concentration is divided by the efficiency (expressed as a fraction) to determine the nominal detention time, which represents the volume of the clarifier above the settled pulp interface divided by the overflow rate. Different diameter-depth combinations are considered by using the corresponding efficiency factor. In most cases, area may be determined by factors other than the bulksettling rate, such as practical tank-depth limitations. 

This system for evaluating multicomponent adjacent key systems, assuming constant relative volatility and constant molai overflow, has proven generally satisfactory for many chemical and hydrocarbon applications. It gives a rigorous solution for constant molai overflow and volatility, and acceptable results for most cases which deviate from these limitations. 

Figure 9. In a Motorola-type cellular phone handset, the six AA cells in series are protected by reversal-limiting diodes, and the overflow at 1.7 V is determined by the six red LEDs [38],...

Limit values on concentration are very important in the program, in order to avoid possible numerical overflow problems, caused by zero concentration values in the denominator of the model equations. 

It is now necessary to determine the limiting total flux 1//77. for a specified concentration Cu of overflow. The required area of the thickener is then obtained by substituting this value into equation 5.43 to give ... 

This method is one of the most important concepts in chemical engineering and is an invaluable tool for the solution of distillation problems. The assumption of constant molar overflow is not limiting since in very few systems do the molar heats of vaporisation differ by more than 10 per cent. The method does have limitations, however, and should not be employed when the relative volatility is less than 1.3 or greater than 5, when the reflux ratio is less than 1.1 times the minimum, or when more than twenty-five theoretical trays are required(13). In these circumstances, the Ponchon-Savarit method described in Section 11.5 should be used. 

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