Filled region

Maxwell obtained equation (4.7) for a single component gas by a momentum transfer argument, which we will now extend essentially unchanged to the case of a multicomponent mixture to obtain a corresponding boundary condition. The flux of gas molecules of species r incident on unit area of a wall bounding a semi-infinite, gas filled region is given by at low pressures, where n is the number of molecules of type r per... 

In a pattern that mimics the movement of an expanding gas, the "filled" region of the simulation spreads to previously empty areas. With the transition rules given, the maximum possible speed at which the front of this disturbance moves is one cell per cycle. This is known as the speed of light because no disturbance can propagate across the CA lattice more rapidly. 

FIG. 3.22. J—V characteristics of the conducting organic polymer diode ITO/PEDOT PSS/MEH-PPV/Au at 98 K. The squares are the experimental data while the dotted line shows the trap-filling region and the solid fine represents trap-filled V2 region [53]. 

The adsorption of smaller polar molecules, such as water and carbon dioxide, was more complex, and Dubinin (1975) concluded that the overall pore filling process could be expressed as a two-term equation, each term having the mathematical form of Equation (11.1). In the low-filling region, the interaction with the cationic sites was considered to be the most important contribution, with the normal dispersion interactions becoming more important at higher loadings. 

Because the heat of desorption in the pore filling region is greater than the heat of adsorption in the corresponding region, the observed hysteresis loop becomes smaller as temperature is increased, disappearing at about 97.5K. 

Low temperature N2 adsorption isotherm gives a reliable information on the mesoporous texture of solids. The adsorption-desorption plot follow the type IV isotherm with hysterisis in the mesopore filling region, the pore size distribution obtained by BJH analysis of nitrogen adsorbed is shown in Fig.3. The pore size distribution is narrow and the maximum is centered around 30 A for all the samples indicating a uniform pore texture of the samples... 

Fig. 9.1 Merging of two identical gas-filled regions (in gray), enclosed in cylinders with pistons (a) Parallel coimection the force F is doubled, the length / remains constant, (b) Series connection the force remains constant, the length is doubled.

Figure 41 Cartoon of local lamellar structure. The black and white patches represent cross sections of the surfactant + alcohol + oil layers and the water layers, respectively. The relative thicknesses of the water- and non-water-filled regions were chosen approximately according to the values of do and d for the 55 wt% water sample on the water dilution line W5 of Fig. 30b. The lamellae extend above and below the plane of the page. For simplicity, they are assumed to be perpendicular to the page, resulting in uniform cross-sectional widths. The inset shows a more detailed cartoon of the structure of the lamellar cross section as seen from above. (From Ref. 308.)...

Figure 10. (a) The photograph from the experiment by Su et al (27) demonstrating the coexistence of localized and non-uniform flow channels, which are originated from water-filled regions (or small, relatively stable, capillary pools), connected by unstable (chaotic) rivulets of liquid, and (b)-(e) A sequence of intermittent events along the flow channel. 

Figure 3.4 (a) The concave region obtained (shown as the filled region Bj) belonging to the updated batch profile initiated at point Xj. 

Twin-screw extruders are usually operated at a specific throughput therefore, portions of the extruder are completely filled, whereas other locations are partially filled. Filled regions are formed behind restrictive and reverse pumping elements in extrusion screws. 

Figure 13.3 shows the influence of the changing viscosity on the pressure builtup in the extruder. For a simple screw with uniform geometry this pressure buildup is uniform in the simplified case of an isoviscous material, as explained in Chapter 2. For reactive extrusion the viscosity increases in the direction of the die and the low viscosity in the filling region results in poor local pressure build up abilities (2). This makes the extruder more... 

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