Design of Two-Level Factorial Experiment
The chemist designed a two-level factorial experiment using Design-Expert statistical-analysis software from Stat-Ease Inc. (Minneapolis). “We selected Design-Expert because it excels at solving real-world industrial problems,” says Dr. Phil Cote, WVCO’s director of research and development. “Design-Expert has a very intuitive user interface that is geared for engineers, as opposed to statisticians. It provides virtually every experimental design or statistical tool that it would ever make sense to use in an industrial environment. It also saves large amounts of time by automating most of the experimental design and results analysis process.” The factors considered in the experiment are shown in Table 1.
The software generated an experiment design consisting of 20 runs that targeted the end and center points of each variable. A Morehouse Cowles laboratory mixer equipped with a disk dispenser was used to prepare the resins. The responses shown in Table 2 were measured. A Brookfield DV-II viscometer equipped with a number 5 spindle was used to measure the viscosity of each resin. The set time was checked by hand mixing at a two-to-one ratio using standard laboratory techniques. It was measured as soon as the mixing was completed and again five days after the process was finished in order to evaluate drift during storage.
Experiment Results Enable Increase in Yield
The chemist entered the results of the experiments back into Design-Expert. The software then provided a variety of statistical analyses. The analysis of variance (ANOVA) results shown in Table 3 demonstrate that the set time and foam were significantly affected by the experiment factors. Note that the significance of these factors increased after the five-day period. This indicates that adventitious moisture is an insidious problem that does not reveal its full impact immediately.
Evaluation of the test factors revealed substantial interactions between the factors. For example, at a low mixing speed, mixing time has little effect on initial set time. However, at a high mixing speed, time has a major effect on initial set. Strong interactions between the mixing speed and mixing time factors also were seen in their effect on foam formation.
After studying the statistical results, the chemist concluded that moisture was the immediate cause of reduced yield. The experiment results also revealed that the effects of moisture could be minimized by reducing the mixing speed and mixing time. The probable cause is that the speeds used in the past generated turbulence that increased the uptake of moisture in the batch.
The experiment showed that the resin could be thoroughly mixed at a lower speed in less time while avoiding the buildup of moisture that had previously hurt yields. The experiment results provided unassailable proof that yields and throughput could be increased by changing processing conditions. When the new optimizing mixing times and speeds were implemented at the production plant, the yields immediately increased. When this change was implemented at the production plant, first-pass yield in the production plant increased by 65% and throughput in the facility increased by 20%.
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