Well-mixed reactor

Multiple reactions in parallel producing byproducts. Consider again the system of parallel reactions from Eqs. (2.16) and (2.17). A batch or plug-flow reactor maintains higher average concentrations of feed (Cfeed) than a continuous well-mixed reactor, in which the incoming feed is instantly diluted by the PRODUCT and... 

In general terms, if the reaction to the desired product has a higher order than the byproduct reaction, use a batch or plug-flow reactor. If the reaction to the desired product has a lower order than the byproduct reaction, use a continuous well-mixed reactor. 

Keep both Cpeedi and Cfeed2 low (i.e., use a continuous well-mixed reactor). 

But what is the correct choice a byproduct reaction calls for a continuous well-mixed reactor. On the other hand, the byproduct series reaction calls for a plug-flow reactor. It would seem that, given this situation, some level of mixing between a plug-flow and a continuous well-mixed reactor will give the best... 

A series combination of plug-flow and continuous well-mixed reactors (Fig. 2.3c and d)... 

Polymerization reactions. Polymers are characterized by the distribution of molecular w eight about the mean as well as by the mean itself. The breadth of this distribution depends on whether a batch or plug-flow reactor is used on the one hand or a continuous well-mixed reactor on the other. The breadth has an important influence on the mechanical and other properties of the polymer, and this is an important factor in the choice of reactor. 

Solution We wish to avoid as much as possible the production of di- and triethanolamine, which are formed by series reactions with respect to monoethanolamine. In a continuous well-mixed reactor, part of the monoethanolamine formed in the primary reaction could stay for extended periods, thus increasing its chances of being converted to di- and triethanolamine. The ideal batch or plug-flow arrangement is preferred, to carefully control the residence time in the reactor. 

However, the laboratory data seem to indicate that a constant concentration in the reactor to maintain 63 percent sulfuric acid would be beneficial. Careful temperature control is also important. These two factors would suggest that a continuous well-mixed reactor is appropriate. There is a conflict. How can a well-defined residence time be maintained and simultaneously a constant concentration of sulfuric acid be maintained ... 

Continuous well-mixed reactors to plug-flow... 

The first distinction to be drawn, as far as heat transfer is concerned, is between the plug-flow and continuous well-mixed reactor. In the plug-flow reactor shown in Fig. 13.1, the heat transfer can take place over a range of temperatures. The shape of the profile depends on... 

Another classification refers to the shape of the vessel. In the case of the laboratory vessel installed with a stirrer, the composition and temperature of die reaction is homogeneous in all parts of die vessel. This type of vessel is classified as a stiiTcd tank or well mixed reactor. Where there is no mixing in the direction of flow as in the cylindrical vessel, it is classified as a plug flow or tubular flow reactor. 

The reaction takes place at low temperature (40-60 °C), without any solvent, in two (or more, up to four) well-mixed reactors in series. The pressure is sufficient to maintain the reactants in the liquid phase (no gas phase). Mixing and heat removal are ensured by an external circulation loop. The two components of the catalytic system are injected separately into this reaction loop with precise flow control. The residence time could be between 5 and 10 hours. At the output of the reaction section, the effluent containing the catalyst is chemically neutralized and the catalyst residue is separated from the products by aqueous washing. The catalyst components are not recycled. Unconverted olefin and inert hydrocarbons are separated from the octenes by distillation columns. The catalytic system is sensitive to impurities that can coordinate strongly to the nickel metal center or can react with the alkylaluminium derivative (polyunsaturated hydrocarbons and polar compounds such as water). 

It turns out1,5 that varying Uwr and O cause dramatic (up to sixty-fold) increases in k but have practically no effect on kad. Thus NEMCA is much more pronounced on the fuel-lean side, i.e. when equation (8.7) is valid. This was shown in Fig. 4.24 which depicts the effect of the po2/pc2H4 ratio in the well-mixed reactor (CSTR) on the rate under open-circuit conditions and when Uwr is set at +1 V. There is a sixtyfold increase in the rate for high po2/pc2H4 values. 

Model predictions are caipared with experimental data In the case of the ternary system acrylonitrlle-styrene-methyl methacrylate. Ihe experimental runs have been performed with the same recipe, but monomer feed composition. A glass, thermostat ted, well mixed reactor, equipped with an anchor stirrer and four baffles, has been used. The reactor operates under nitrogen atmosphere and a standard degassing procedure is performed Just before each reaction. The same operating conditions have been maintained in all runs tenperature = 50°C, pressure = 1 atm, stirring speed = 500 rpm, initiator (KgSgOg) 0. 395 gr, enulsifier (SLS) r 2.0 gr, deionized water = 600 gr, total amount of monomers = 100 gr. 

A series of four well-mixed reactors operate isothermally in the steady state. Examine the figure. All the tanks do not have the same volume, but the sum of V, — 20 m3. The component whose concentration is designated by C reacts according to the following mechanism r = —kC1 in each tank. 

The mathematical problem posed is the solution of the simultaneous differential equations which arise from the mass-action treatment of the chemistry. For the homogeneous, well-mixed reactor, this becomes a set of ordinary, non-linear, first-order differential equations. For systems that are not... 

The polystyrene data were collected from a steady state, continuous, well-mixed reactor. The initiator was n-butylli-thlum for data of Figure 2 and was azobisisobutylnitrile for data of Figure 3. Toluene was used as a solvent. The former polymerizatl n y ields an exponential population density distribution ( ), M /M = 1.5 the latter yields a molar distribution defined as th product of degree of polymerization and an exponential ( ), M /M = 2.0. Standards utilized in calibration of both instrumen s ftere polystyrene supplied by Pressure Chemical Company. 

There are many real-life situations resulting in a tracer pulse or front with a long tail, where the pulse or front does not decay nearly as quickly as it rises. The fit of the tanks-in-series to the tracer pulse in Example 6.7 is typical of the trailing edge problem. These can be solved by employing a leaky dead-zone model. There are physical arrangements of transport problems where the need of a leaky dead zone seems apparent, such as a side embayment on a lake or river, or a stratified lake where a well-mixed reactor will be used to model the lake. These are illustrated in... 

It is useful to briefly consider a simple conceptional model that considers simultaneous inputs and outputs of a compound in an organism, the one-box approach (see Section 12.4 for a general discussion of one-box models). In this approach we assume that the organism (i.e., the fish) is a well-mixed reactor (which, of course, it is not), and we define all processes as first-order reactions. The temporal change in concentration of a given compound i in the fish, Clfish, can then be described simply by ... 

Finally, in the last section of this chapter, we will introduce the simplest approach for modeling the dynamic behavior of organic compounds in laboratory and field systems the one-box model or well-mixed reactor. In this model we assume that all system properties and species concentrations are the same throughout a given volume of interest. This first encounter with dynamic modeling will serve several pur-... 

We conclude this chapter by introducing a simple tool with which we will be able to put the reactivities of organic compounds into an environmental context the well-mixed reactor or one-box model. 

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