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Illustrate the implications of these length and time scales for industrial mixing operations. Review the implications of isotropy and other approximate theoretical treatments. Consider the nature and implications of various experimental measures of the ow. Summarize the strengths and limitations of turbulence models and computational uid dynamics (CFD) in general in the context of the design of mixing equipment. In this chapter the topic of turbulence is broken down into four sections. First, in Section 2-2, the application of turbulence scaling principles to reactor design is discussed, to clarify for the reader the role played by the turbulent motions. In Section 2-3 we dig deeper into the description of turbulence, considering the various time and length scales involved in the description of turbulent ow, the scaling arguments that are used for engineering estimates, and how these estimates are related to the ow eld. The information that is lost in the time averages and scaling arguments is revisited from the perspective of experimental and theoretical approximations of the ow in Section 2-4. Finally, the mathematical approach to the problem, the modeling of turbulence, is discussed in Section 25. The text is aimed at readers with no advanced training in uid mechanics, and explanations of theoretical concepts are liberally interspersed with examples. Those with more experience will nd summaries at the end of each section; they may also nd a review of the more subtle concepts useful. Although the chapter can be read from beginning to end, it is also designed for independent reference to a speci c subtopic. We begin by clarifying the initial de nitions that we will need to discuss turbulence and the mixing operation.

A new series, the so-called GoAgg systems, has been introduced. 158 ,166,167 The most practical member is GOAggII using iron (III) chloride and H 20 2. Alkyl hydroperoxides were found to be the intermediates in these oxidations. 168 A number of other nonporphyrinic metal catalysts have been developed and tested in alkane oxidation. Most of these are iron_basedI69-174 or rutheniumcontaining catalysts,163,175-180 and the first Rh-catalyzed reaction has also been reported. 181 H 20 2 is the preferred single oxygen atom source, but tertBuOOH I69 ,173,175-177 or oxygen I63 ,172,178,180 may also be used. Ru04 prepared in situ with NaI04 as the reoxidant,182 as well as a ruthenium heteropolyanion with the usual oxidants (KHS05, NaI04, PhlO, tert-BuOOH),183 are also effective. Some of these catalytic systems are very efficient in direct ketonization of methylene groups. 170,173,176 Methane monooxygenase, a nonheme monooxygenase, exhibits catalytic activity for oxygenation of simple alkanes and is believed to contain binuclear iron. This is the reason why these studies include several binuclear iron complexesI69-172 with the aim of mimicking methane monooxygenase.

There is a third type of Flash video output to use: embedding. When you embed video in a Flash movie (which would then be inserted into the Web page), you re combining both video and Flash animation in a single movie. This process results in a much larger file and is only really useful for videos lasting 5 seconds or less. It is strongly recommended that your video remain an external file and not be embedded.

The site is clean, open, inviting, and has a small number of links off this page so that the user isn t completely overwhelmed by the choices. Very nice! Compare this with the U.S. Social Security Administration Web site, as shown in Figure 15-2. Here you can see many more choices. The designer seems unable to differentiate between what I call the musts and the wants. The musts are those links that must be on the home page or, for that matter, on the specific page in question, whatever it is. The wants, on the other hand, are those links that would be helpful to have up-front, but are not critical. Remember, the guideline here is to minimize the amount of information presented. Less is more.

Key Ctrl+X Alt+double-click a Date field Ctrl+E Alt+double-click the object Alt+drag Ctrl+D or Ctrl+ drag the object Ctrl+Alt+K Ctrl+Alt+B Ctrl+Alt+F Alt+double-click a Container field or graphic image Ctrl+R Ctrl+ (hyphen) Ctrl+; (semicolon) Ctrl+Shift+N Ctrl+Alt+L Ctrl+M Alt+drag the object Arrow keys

An unfortunate fact-of-Web-life has made a device known as a spacer image a necessity for many sliced images. When an image is sliced, each section is placed in a separate HTML table cell. Some browsers collapse the tables unless some content is included in each cell, rendering the image unattractive. Fireworks solves this problem by placing a one-pixel spacer image in each outside column and row, as shown in Figure 3-9. The spacer images serve to keep the graphic looking as designed, no matter what browser is used.