Other Operational Conditions

Once the model parameters have been estimated, analysts should perform a sensitivity analysis to establish the uniqueness of the parameters and the model. Figure 30-9 presents a procedure for performing this sensitivity analysis. If the model will ultimately be used for exploration of other operating conditions, analysts should use the results of the sensitivity analysis to estabhsh the error in extrapolation that will result from database/model interactions, database uncertainties, plant fluctuations, and alternative models. These sensitivity analyses and subsequent extrapolations will assist analysts in determining whether the results of the unit test will lead to results suitable for the intended purpose. 

The presence of errors within the underlying database fudher degrades the accuracy and precision of the parameter e.stimate. If the database contains bias, this will translate into bias in the parameter estimates. In the flash example referenced above, including reasonable database uncertainty in the phase equilibria increases me 95 percent confidence interval to 14. As the database uncertainty increases, the uncertainty in the resultant parameter estimate increases as shown by the trend line represented in Fig. 30-24. Failure to account for the database uncertainty results in poor extrapolations to other operating conditions. 

Interpolation and extrapolation performance to other operating conditions... 

Aside from the fundamentals, the principal compromise to the accuracy of extrapolations and interpolations is the interaction of the model parameters with the database parameters (e.g., tray efficiency and phase eqiiilibria). Compromises in the model development due to the uncertainties in the data base will manifest themselves when the model is used to describe other operating conditions. A model with these interactions may describe the operating conditions upon which it is based but be of little value at operating conditions or equipment constraints different from the foundation. Therefore, it is good practice to test any model predictions against measurements at other operating conditions. 

Unfortunately, models are rarely exac4. The semblance of sophistication inherent in the model and used to develop parameter estimates frequentlv masks their deficiencies. Models are only approximate, and their predictions when the parameter estimates are based on analysis of plant performance must be considered as approximate. Vahdation of the model and the parameter estimates using other operating conditions will reduce the likelihood that the conclusions have significant... 

Note This operating condition is, however, not specific for it does not stipulate the frequency of occurrence of such a contingency. It may be assumed that this condition will not occur more than once before thermal stability is reached. See also Section 3.7. In normal practice a motor meeting the other operating conditions noted above in all likelihood will satisfy this requirement also without needing yet another derating. See also Example 7,1. 

Other operating conditions are detailed on the table in Figure 9.6.2 (Berty 1982). Among the listed experimental conditions it is worth noting that the... 

What-if analysis This program should allow the user to do various studies of plant operating scenarios to ascertain the expected performance level of the plant due to environmental and other operational conditions. 

Can hazards from the reaction be reduced by changing the relative concentration of reactants or other operating conditions Can side reactions produce toxic or explosive material, or cause dangerous fouling ... 

In this section, two t5q)ical engineering surfaces, a ground surface and a shaved surface, are employed for the comparison. The original roughness data were measured with an optical profilometer, but the roughness amplitude has been rescaled for the convenience of computation. In simulations, a relatively small load of 50 N is applied to guarantee that asperities will not be completely flattened while other operation conditions are listed in Table 4. 

In order to apply the concepts of modern control theory to this problem it is necessary to linearize Equations 1-9 about some steady state. This steady state is found by setting the time derivatives to zero and solving the resulting system of non-linear algebraic equations, given a set of inputs Q, I., and Min In the vicinity of the chosen steady state, the solution thus obtained is unique. No attempts have been made to determine possible state multiplicities at other operating conditions. Table II lists inputs, state variables, and outputs at steady state. This particular steady state was actually observed by fialsetia (8). 

The effect of pressure on the FTS was studied, according to Table 13.1, at three different pressure levels (8, 20, and 25 bar), keeping constant the other operating conditions at the level of the standard test (T = 230°C, H2/CO inlet molar ratio = 2.1, GHSV = 5,000 cm3 (STP)/h/gcat). 

A reversible reaction, A B, is conducted in a two stage CSTR with cooling between stages to 25 C which is also the fresh feed temperature. Inlet concentration Aq = 10, Other data follow. Compare residence times and other operating conditions for 80% conversion with and without intercooling. 

If it is necessary to test a pipeline or main before it can be uprated to a higher MAOP, and if it is not practical to test the line either because of the expense or difficulties created by taking it out of service or because of other operating conditions, a higher MAOP may be established in Location Class 1 as follows ... 

Fig. 3.160. Electropherograms of dye intermediates obtained in a phosphate buffer (50 mM) containing 18 mM TTABat pH 5.0 with addition of organic modifiers (a) methanol (15 per cent, v/v) (b) acetonitrile (7 per cent, v/v). Other operating conditions —20 kV, 25°C. For peak idetification see Table 3.45. Reprinted with permission from C.-E. Lin el al. [198].

In PEMFCs, Ralph et al. [86] tested a Ballard Mark V single cell with two different DLs a carbon cloth (Zoltek PWB-3) and a carbon fiber paper (Toray TGP-090) all the other operating conditions stayed the same for bofh cases. It was observed that the carbon cloth demonstrated a distinct advantage over the CFP at high current densities (>600 mA/cm ), while at low current densities both DLs performed similarly. If was claimed fhaf this was because the CC material enhanced mass transport properties and improved the water management within the cell due to its porosity and hydrophobicity. 

Pilot plants can be used to predict solvent dosages and other operating conditions, but such operations are expensive and should be minimized. It is, therefore, desirable to establish correlations of operating variables. Kalichevsky (16) describes correlations of solvent extraction equilibrium data which indicate that the percentage dissolved in the extract layer, L, is related to the solvent dosage, S, by the expression... 

It appears that dCx/dt and rx are always the same, but this is not true. The former is the change of the cell concentration in a fermenter, which may include the effect of the input and output flow rates, cell recycling, and other operating conditions of a fermenter. The latter is the actual growth rate of the cells. The two quantities are the same only for batch operation. 

Another remark is that anodic activation losses are higher than the cathodic ones in the case study. Under other operating conditions (with higher content of water at the anodic side) the anodic activation is usually lower than the cathodic one, but in the present case the anodic activation is rather high due to the fact that, as mentioned before, the water content of the feeding fuel is only 3% (even if water is produced by the electrochemical reaction, the fuel flow is in huge excess and thus... 

They also serve as a common language when discussing separation problems. With these quantities in hand, it is generally unnecessary to detail other operating conditions. Finally, their most important use is as a diagnostic tool for column problems. 

The other operating conditions for investigating the influence of CuCl2 concentration are the reaction temperature T = 24 °C, the feeding mode I, the rotary speed of the propellers N = 1000 rpm, pH = 14, CuCl2 to KBH4 mole ratio 1 2, and the reaction time after feeding t, = 10 min. The major results are ... 

The other operating conditions for the investigating the influence of the reaction temperature are Concentration of CuCU solution CCuci2 = 0.2 kmol-m-3 Rotary speed of the propellers N - 1000 rpm Feeding mode 1 pH=14 CuCl2 to KBFLi mole ratio 1 2. The following major results are obtained ... 

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