Change, rapid

This equation may be solved by the same methods as used with the nonreactive coupled-channel equations (discussed later in section A3.11.4.2). Flowever, because F(p, p) changes rapidly with p, it is desirable to periodically change the expansion basis set ip. To do this we divide the range of p to be integrated into sectors and within each sector choose a (usually the midpoint) to define local eigenfimctions. The coiipled-chaimel equations just given then apply withm each sector, but at sector boundaries we change basis sets. Let y and 2 be the associated with adjacent sectors. Then, at the sector boundary p we require... 

Linked scanning techniques by which fragmentation reactions can be examined are particularly easy to apply with QqQ instmments. The ease with which RF and DC voltages can be changed rapidly means that the scanning can be done very quickly. Three common and popular types of linked scan are briefly described here and serve to illustrate its principles. 

Physical and chemical properties of the three most important forms of sodium sulfate are summarized ia Table 3. The solubiUty of sodium sulfate ia water from 0 to 360°C is shown ia Figure 1 (5). The solubiUty of the NaClNa2S04-H2 0-saturated system is also shown. The aqueous solubiUty of sodium sulfate changes rapidly from 0 to 40°C, and addition of NaCl to a saturated solution of Na2S04 dramatically suppresses this solubiUty. These two effects are exploited by all manufacturers of sodium sulfate. 

The wurt2ite form differs only slightly from the cubic form, but it is not quite as stable. It is most easily obtained by static or dynamic compression of hBN or rBN at high pressures (17). In the presence of a Hquid catalyst at high pressures, the wurt2ite form changes rapidly to the cubic form. The change occurs more slowly without a catalyst above 6 GPa (60 kbar) (18). 

In the equation shown above, the first term—including p for density and the square of the linear velocity of u—is the inertial term that will dominate at high flows. The second term, including p. for viscosity and the linear velocity, is the viscous term that is important at low velocities or at high viscosities, such as in liquids. Both terms include an expression that depends on void fraction of the bed, and both change rapidly with small changes in e. Both terms are linearly dependent on a dimensionless bed depth of L/dp. 

The inventory of these plants can run into over 20,000 items, including over 100 complete rotor systems. The field of spare parts is changing rapidly and is much more complex than in the past. A group of plants have gotten together in a given region and formed Part Banks. ... 

Interpolation between charts of convergence pressure can be calculated, depending on how close the operating pressure is to the convergence pressure. The K-factor (or K-values) do not change rapidly with convergence pressure, (psia) [79]. 

When rps/tpi- > p, the assumed (L/D)min is too high. Note that tps/tpr changes rapidly with small changes in (L/D)niin. P changes slightly. When p = p, the proper (L/D)niin been found. Colburn reports the method accurate to 1%. It is convenient to graph the assumed (L/D)niin versus p and p in order to facilitate the selection of the correct (L/D)mm-... 

The use of alkaline tin plating baths continues to stimulate research into the anodic dissolution of tin into sodium hydroxide solution . It has been shown that in the prepassive region, tin (11) oxide and hydroxide exist on the surface of the metal. At the onset of passivity, these change to tin (IV) oxide and hydroxide and the extent of surface hydration changes rapidly. ... 

Not only do the creep properties of crystalline polymers change rapidly with temperature, but in some cases at a given temperature a crystalline type will creep more with time than will the rigid amorphous or cross-linked (TS) types. However, a crystalline type above its Tg creeps very little, compared to the others. Thus, crystalline types tend to... 

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