Cylindrical solution

FIGURE 6.16 Cylindrical solute concentration profile around each kink or step site. Redrawn, with permission from Chernov [61]. 

A. Critical Cylindrical Solution Systems of Uranium/Plutonium Nitrate... 

The digital calculation starts with the model depicted in Fig. Al. The heated wire with radius Tq and the cylindric surface Apt (for platinum wire) is surrounded by cylindric solution shells with the thickness h. The model is a so-called box model, and the shells may be named boxes . If we assume that the wire is heated by a constant AC current 7heat> if we assume for a first approximation that the resistance R of the wire also is constant, then we can calculate easily the heat increment AQ, which is fed into the wire during the time interval At ... 

This type of cylindrical solution may be expected to occur in a cyfindrical container if the orientation of the director n is perpendicular on the cylinder boundary. The line singularity occurring at r = 0 may be observable, given that fine singularities (or defects) are commonly seen in liquid crystal samples. However, this scenario and a possible alternative solution for cyUnders of finite radius are discussed in more detail in Section 3.8.1 below. 

Torgunakov V.G. et al. Two-level system for thermographic monitoring of industrial thermal units. Proc. of VTI Intern. S-T conference. Cherepovets, Russia, pp. 45-46, 1997. 2. Solovyov A.V., Solovyova Ye.V. et al. The method of Dirichlet cells for solution of gas-dynamic equations in cylindrical coordinates, M., 1986, 32 p. 

Finally we require a case in which mechanism (lii) above dominates momentum transfer. In flow along a cylindrical tube, mechanism (i) is certainly insignificant compared with mechanism (iii) when the tube diameter is large compared with mean free path lengths, and mechanism (ii) can be eliminated completely by limiting attention to the flow of a pure substance. We then have the classical Poiseuille [13] problem, and for a tube of circular cross-section solution of the viscous flow equations gives 2... 

To extract the substance, the aqueous solution or suspension is placed in a separating-funnel, which may be either cylindrical. Fig. i6(a), or (better) pear-shaped, Fig. i6(b). Ether is then... 

The technique of the filtration of hot solutions has already been described in Section 11,28. The filtration of cold solutions will now be considered this operation is usually carried out when it is desired to separate a crystalline solid from the mother liquor in which it is suspended. When substantial quantities of a solid are to be handled, a Buchner funnel of convenient size is employed. The ordinary Buchner fimnel (Fig. 11,1, 7, a) consists of a cylindrical porcelain funnel carrying a fixed, flat, perforated porcelain plate. It is fitted by means of a rubber stopper or a good cork into the neck of a thick-walled filtering flask (also termed filter flask, Buchner flask or suction flask) (Fig. 11,1, 7, c), which is connected by means of thick-walled rubber tubing (rubber pressure tubing) to a similar flask or safety bottle, and the latter is attached by rubber pressure tubing to a filter pump the safety bottle or trap is essential since a sudden fall in water pressure may result in the water sucking back. The use of suction renders rapid filtration possihle... 

One example of a liquid-based ion-selective electrode is that for Ca +, which uses a porous plastic membrane saturated with di-(n-decyl) phosphate (Figure 11.13). As shown in Figure 11.14, the membrane is placed at the end of a nonconducting cylindrical tube and is in contact with two reservoirs. The outer reservoir contains di-(n-decyl) phosphate in di- -octylphenylphosphonate, which soaks into the porous membrane. The inner reservoir contains a standard aqueous solution of Ca + and a Ag/AgCl reference electrode. Calcium ion-selective electrodes are also available in which the di-(n-decyl) phosphate is immobilized in a polyvinyl chloride... 

Use the model for the size exclusion of a spherical solute molecule in a cylindrical capillary to calculate for a selection of R/a values which... 

Immersion electrodes are the most common glass electrodes. These are roughly cylindrical and consist of a barrel or stem of inert glass that is sealed at the lower end to a tip, which is often hemispherical, of special pH-responsive glass. The tip is completely immersed in the solution during measurements. Miniature and microelectrodes are also used widely, particularly in physiological studies. Capillary electrodes permit the use of small samples and provide protection from exposure to air during the measurements, eg, for the determination of blood pH. This type of electrode may be provided with a water jacket for temperature control. 

Air-Suspension Coa.ting. The Wurster process utilizes a cylindrical chamber in which the cores are suspended in a controlled stream of air. Film coatings are appHed by introducing the coating solution into the airstream, where the solvent evaporates quickly. The process is much quicker than film coating however, care must be taken to avoid destmction of the cores by attrition in the air stream. 

The prepolymer is separated from the water by spray drying and then formed into cylindrical pellets of uniform size (159). At this point additives can be added to the porous pellets from solution or suspension. These pellets are then placed in a soHd-phase condensation reactor where they are heated to 260°C for up to 4 h under nitrogen, with a small amount of water added. The pressure is maintained close to atmospheric pressure. At the end, x > n. 

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