Gas flow variations

The gas chromatographic separation in temperature gradient is affected by more than one factor [32]. Simultaneously there is variation in the gas flow, variation in the distribution constants, and variation in peak broadening. 

Usually, in chemical industry there are many applications where high concentrations of gaseous reactants are used, and simultaneously high conversions are desired. In such cases, the assumption of constant gas flow cannot be maintained. Consideration of gas flow variations increases the mathematical efforts. Even for first order reaction and the most simple models, i.e. <11> and <13>, the design equations are considerably more complicated. 

In order to demonstrate the effect of gas flow variations due to absorption and reaction. Fig. 5 compares the conversion of model <13> with constant and with variable gas velocity for various values of It is observed that the discrepancy between both models depends only in a small extent on the individual values of Da, Y> St, and m as long as cl 0.5. Therefore, the curves shown in Fig. 5 present average values. Only for c = -1 a larger difference was found. However, no clear dependence on the individual parameters could be discerned. Therefore, the area is shaded in... 

Fig. 5 Effect of gas flow variations (given by eq. (56)) on conversion in model <13>...

Only for the case of model <24> with constant gas phase mole fraction (pressure can be variable), an easy to handle analytical solution is available which can successfully be used for evaluation of experimental profiles, for instance, in oxygen mass transfer measurements [25, 32]. Usually, the assumption of constant gas concentration is not at all permitted, and if gas flow variations are also considered, the balance equations are nonlinear even for first order rate processes. Therefore, only numerical solution procedures are appropriate to solve the resulting nonlinear boundary value... 

On the basis of the assumptions of model <22> and <23> the Fischer-Tropsch synthesis in a slurry phase BCR has been modeled [37, 38]. As this hydrocarbon synthesis from synthesis gas (CO + H2) is accompanied by considerable volume contraction, it is clear that gas flow variations have to be accounted for. The developed models are useful to evaluate experimental data from bench scale units and to simulate the behavior of larger scale Fischer-Tropsch slurry reactors. Though only simplified kinetic laws were applied, the predictions of the model are in reasonable agreement with data reported from 1.5 m diameter demonstration plant. Fig. 12 shows computed space-time-yields (STY) as a function of the inlet gas velocity. As the Fischer-Tropsch reaction on suspended catalyst takes place in the slow reaction regime, it is understood that STY passes through a maximum in dependence of uqo- The predicted maximum is in striking agreement with experimental observations [37]. 

In model <42> gas phase dispersion is taken into account. If iso-baric conditions (a o) are assumed and gas flow variations are neglected (x/ g o equimolar absorption and desorption, etc.), the balance equation is... 

Therefore, the process occurs in the diffusional regime and a liquid phase has not to be considered. Due to the large diameter of the BCR dispersion in gas phase cannot be neglected. In addition, gas flow variations must be considered. Hence, the mass balances... 

BCR of industrial size should be designed on the basis of model <22> and <42>, respectively, under consideration of pressure effects and gas flow variations. It is, however, also shown that it is often sufficient to apply simpler models in order to obtain significant conclusions for many practical purposes. One should always keep in mind that the mathematical effort involved in solving the model equations is only worthwhile, if all the hydrodynamic parameters, the mixing and mass transfer properties and the kinetic and solubility data as well are known with sufficient accuracy. In this regard parameter studies on the basis of various models can be very helpful. 

The method is based on the international standard ISO 4053/IV. A small amount of the radioactive tracer is injected instantaneously into the flare gas flow through e.g. a valve, representing the only physical interference with the process. Radiation detectors are mounted outside the pipe and the variation of tracer concentration with time is recorded as the tracer moves with the gas stream and passes by the detectors. A control, supply and data registration unit including PC is used for on site data treatment... 

Abihty of collector to handle variations in gas flow and loads at required collection efficiencies. 

Based on the bench-scale data, two coal-to-acetylene processes were taken to the pilot-plant level. These were the AVCO and Hbls arc-coal processes. The Avco process development centered on identifying fundamental process relationships (29). Preliminary data analysis was simplified by first combining two of three independent variables, power and gas flow, into a single enthalpy term. The variation of the important criteria, specific energy requirements (SER), concentration, and yield with enthalpy are indicated in Figure 12. As the plots show, minimum SER is achieved at an enthalpy of about 5300 kW/(m /s) (2.5 kW/cfm), whereas maximum acetylene concentrations and yield are obtained at about 7400 kW/(m /s) (3.5 kW/cfm). An operating enthalpy between these two values should, therefore, be optimum. Based on the results of this work and the need to demonstrate the process at... 

Flows are typically considered compressible when the density varies by more than 5 to 10 percent. In practice compressible flows are normally limited to gases, supercritical fluids, and multiphase flows containing gases. Liquid flows are normally considerea incompressible, except for certain calculations involved in hydraulie transient analysis (see following) where compressibility effects are important even for nearly incompressible hquids with extremely small density variations. Textbooks on compressible gas flow include Shapiro Dynamics and Thermodynamics of Compre.ssible Fluid Flow, vol. 1 and 11, Ronald Press, New York [1953]) and Zucrow and Hofmann (G .s Dynamics, vol. 1 and 11, Wiley, New York [1976]). 

Bubble-Tube Systems The commonly used bubble-tube system sharply reduces restrictions on the location of the measuring element. In order to ehminate or reduce variations in pressure drop due to the gas flow rate, a constant differential regulator is commonly employed to maintain a constant gas flow rate. Since the flow of gas through the bubble tube prevents entiy of the process liquid into the measuring system, this technique is particularly usefiil with corrosive or viscous liquids, liquids subjec t to freezing, and hquids containing entrained solids. 

With closely screened material, the percentage of voids (usually 37 percent) is independent of particle size. With unscreened particles showing a wide variation in size, the void volume is decreaseci irregularity in gas flow results. 

Parameter studies have shown that single-layer nanotubes can be produced by the arc method under a wide range of conditions, with large variations in variables such as the buffer gas pressure (100-500 Torr), gas flow rate, and metal concentration in the... 

Quantitative analysis using the internal standard method. The height and area of chromatographic peaks are affected not only by the amount of sample but also by fluctuations of the carrier gas flow rate, the column and detector temperatures, etc., i.e. by variations of those factors which influence the sensitivity and response of the detector. The effect of such variations can be eliminated by use of the internal standard method in which a known amount of a reference substance is added to the sample to be analysed before injection into the column. The requirements for an effective internal standard (Section 4.5) may be summarised as follows ... 

The IIEC model was also used to study the importance of various design parameters. Variations in gas flow rates and channeling in the bed are not the important variables in a set of first-order kinetics. The location of the catalytic bed from the exhaust manifold is a very important variable when the bed is moved from the exhaust manifold location to a position below the passenger compartment, the CO emission averaged over the cycle rose from 0.14% to 0.29% while the maximum temperature encountered dropped from 1350 to 808°F. The other important variables discovered are the activation energy of the reactions, the density and heat... 

The checkers found considerable variation in the rate of the reaction in different runs, the time required for its completion ranging from 3 to 10 hours. It is therefore advisable to monitor the progress of the reaction. For this purpose small aliquots (ca. 0.05 ml.) were withdrawn from the flask with a syringe and hydrolyzed by injection into a vial containing ether and saturated ammonium chloride. The relative amoimts of enol silane and cyclopropoxy sdane were determined by gas chromatography on an 0.6 cm. X 3.7 m. column of 3% OV-17 coated on 100-120 mesh Chromosorb W. With a column temperature of 120° and a carrier gas flow rate of 20 ml. per minute, the retention times for the enol silane and the cyclopropoxy silane are ca. 1.9 and 2.3 minutes, respectively. 

Variation of bubble size, bubble frequency, and the standard deviation of -APbed with variation of Ug in the conical fluidized beds with a uniform gas distributor (Fopen = 3.87 %) is shown in Fig. 7. As can be seen, the standard deviation of - APbed and the bubble size increase with increasing Ug in the fully fluidized region. However, bubble frequency remains unchanged with variation of Ug that may imply the bubble size will increase as much as the volumetric gas flow increases. As shown, the bubble size dramatically increases with increasing Ug. Also, it is confirmed that the increase of standard deviation of -APbed is closely related to bubble size. 

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