Atomization and Drop Size of Polymer Solution

Abstract

limit after the third or fourth experiment, and subsequent experiments did little to improve the precision.The parameters of the actual experimental work showed convergence characteristics which are similar to the a = 0.001 curves for v and E and <7 = 0.0005 for m and n. The experimentally determined standard deviation, <re = 0.001, is reasonably consistent with these observations. It is apparent that to obtain more precise parameter estimates of v and E, in particular, a substantially smaller experimental error than that of the actual experimental work would be required. ConclusionsThe convergence of the sequential experimental design was rapid and uniform for all experimental errors except for the largest error considered, a = 0.003. The parameters for this case did not converge to final values, but fluctuated even up the eighth hypothetical experiment. It should be noted, however, that the standard error was so large that the true values of the parameters were within the limits of the standard error of the predicted values even though there were large differences between the true and predicted values. The parameters calculated from the hypothetical experiments for smaller errors, though they converged uniformly, also differed from the true values according to the magnitude of the imposed experimental error.Though the estimated parameters deviated from their true values by substantial amounts, the predictive model, using the parameters obtained from the hypothetical experiments, gave results within the limits of the experimental error, even for the largest error considered. It is apparent from the foregoing that one must be concerned with the magnitude of the experimental error if accurate values of the parameters are important objectives of the work. Obviously, these conclusions are strictly valid only for the model considered. It is expected, however, that large experimental error would certainly affect

Dynamic Multi‐Phase, Multi‐Zone Modeling of Flash Separators for Highly Viscous Polymerization Processes

“…as well as the geometric characteristics of the separation unit. A large number of (semi‐)empirical equations (primarily coming from the atomization and spraying fields) have been proposed in the open literature, describing the functional dependence of the average Sauter droplet diameter (i.e., d 32 ) on the dispersed system's physical properties and flow conditions . In general, the average droplet diameter will be given by where and are the Weber and Ohnesorge numbers, respectively.…”