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Volumetric growth rate

Equations 11 and 12 are only valid if the volumetric growth rate of particles is the same in both reactors a condition which would not hold true if the conversion were high or if the temperatures differ. Graphs of these size distributions are shown in Figure 3. They are all broader than the distributions one would expect in latex produced by batch reaction. The particle size distributions shown in Figure 3 are based on the assumption that steady-state particle generation can be achieved in the CSTR systems. Consequences of transients or limit-cycle behavior will be discussed later in this paper. [Pg.5]

Now Volumetric rate at which solids are entering zone Cf = Total volumetric growth rate of zone ... [Pg.283]

On the other hand, they derived an expression that predicts the number of polymer particles produced, ATp, assuming that (i) a monomer-swollen emulsifier micelle is transformed into a polymer particle by capturing a free radical from the aqueous phase, (ii) the volumetric growth rate per particle p is constant, at least during particle formation, and (iii) free radical activity does not transfer out of a growing particle... [Pg.6]

The volumetric growth rate per particle p is constant, at least during particle formation (p=dVp/dt=constant). [Pg.22]

On the other hand, Nomura et al. [14] proposed a different approach for predicting the number of polymer particles produced, where the new concept of radical capture efficiency of a micelle relative to a polymer particle was proposed. The assumptions employed were almost the same as those of Smith and Ewart, except that the volumetric growth rate p of a polymer particle was not considered to be constant. It was also assumed that all of the radicals formed in the aqueous phase enter either micelles or polymer particles with negligible termination in the aqueous phase. In this approach, the following elementary reactions and their respective rates were defined. [Pg.23]

However, when radical desorption from particles takes place m the interval of particle formation, p in Eqs. (108) and (111) should be changed to Pa, the overall rate of radical entry into micelles and particles, and the volumetric growth rate of a particle can no longer be a constant. [Pg.214]

Equation (4Ib) is valid when there are no polymer particles flowing into the reactor with all the particles nucleated within the reactor. It is assumed that density changes can be neglected and that particles follow the streamlines. These are reasonable assumptions in view of the small size of particles and the small density difference between particle and water. When two or more CSTRs are employed in series, however, one must remember that the total residence time of a polymer particle is made up of different times in each reactor in the train. The relative amounts of time spent in each reactor will not matter when the volumetric growth rate of a particle is the same in each. This would require that the temperature, monomer concentration, and average number of radicals per particle he the same for each reactor, an unlikely possibility. This idealization is useful, however, when illustrating the effect of increasing the number of CSTRs in series on the breadth of the particle size distribution. [Pg.334]

Where v is the volumetric growth rate of the bubble (calculable from the heat flux). The time required for the formation of a new macrolayer with its associated vapor mushroom was very short and the frequency of vapor mushroom departure is therefore f 1/x. [Pg.1032]

Crystal size L (10- m) Growth velocity dLjdt (10 m s ) Volumetric growth rate dVjdt (10 m s ) Crystal appearance... [Pg.286]

In aU the experiments, the experimental mean volumetric growth rates were obtained according to the biomass balance in a well-mixed photobioreactor (defining the so-caUed residence time for continuous culture as r = ilV... [Pg.94]

Table 2 Comparison Between Experimental Biomass Volumetric Growth Rates Obtained in Different Kinds of Photobioreactors Cultivating Artbrospira platensis and the Knowledge Model Presented in this Chapter... [Pg.95]

Reactor Type Operating Photon Flux Volumetric Growth Rate Calculated ... [Pg.95]

Finally, once the mean volumetric growth rate is known, the resolution of the mass balance equation for biomass can serve to calculate biomass concentration and productivity as a function of operating parameter (lighting conditions and dilution rate D—or residence time Tp = 1 /D—resulting from the liquid flow rate of the feed) ... [Pg.279]

Finally, the determination of the mean growth rate allows the mass balance equation, here for hiomass, to be solved (Eq. 11). The variable PFD in sunhght conditions means that the irradiance field inside the culture bulk and the resulting local and mean volumetric growth rates vary continuously, and hence steady state carmot he assumed in Eq. (11). This implies solving the transient form of the mass balance equation. Once the time course ofbiomass concentration has been determined, the corresponding biomass productivity can be calculated, as well as surface productivity P (g m day ) which is a useful variable to extrapolate to land-area production (Eq. 2). [Pg.283]


See other pages where Volumetric growth rate is mentioned: [Pg.1904]    [Pg.409]    [Pg.381]    [Pg.129]    [Pg.1663]    [Pg.3]    [Pg.32]    [Pg.67]    [Pg.76]    [Pg.140]    [Pg.214]    [Pg.353]    [Pg.333]    [Pg.18]    [Pg.850]    [Pg.2386]    [Pg.111]    [Pg.18]    [Pg.1139]    [Pg.857]    [Pg.2369]    [Pg.1908]    [Pg.144]    [Pg.152]    [Pg.287]    [Pg.94]    [Pg.287]    [Pg.245]    [Pg.260]    [Pg.388]    [Pg.54]    [Pg.350]    [Pg.427]   
See also in sourсe #XX -- [ Pg.7 , Pg.8 , Pg.9 , Pg.10 , Pg.11 , Pg.12 , Pg.13 , Pg.14 , Pg.15 , Pg.16 , Pg.17 ]

See also in sourсe #XX -- [ Pg.294 ]




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