Parallel flux

Parallel flux the instantaneous point source in the infinite medium... 

Let us assume parallel flux in a semi-infinite medium bound by the plane x=0. Diffusion of a given element takes place from the plane x=0 kept at concentration Cint. Introducing a Boltzmann variable u with constant diffusion coefficient such as... 

Figure 6 (a) Trajectories of a parallel flux of ions impinging on an atom with varying impact... 

In Eq. [19], an and bn are parameters with an infinite number of discrete values determined by the integers n. The relations a ( ) and bn n) depend on the geometry of the system they are given in Table 1-1 for parallel flux (Model 1), for flux converging in a space limited by a circular boundary (Model 2), and for flux converging into a. sphere (Model. 3). Equation [19]... 

I Model 1 Parallel flux (penetration in slab-shaped particles or surface diffusion into strips with parallel edges). 

FIGURE 17.2 Standard flux patterns for a double disk turbine system, (a) Mixed flux, (b) parallel flux, and (c) divergent fluxes. 

The thesis of parallel flux describes fee refining process as a fractionated distillation operation wife subsequent fractionated condensation of fee vapours rectification is excluded by this model, which is illustrated in Figure 3. 

The results of the trials at the laboratory scale are promising in terms of either geometrical or process modifications to increase the safety of the distillation units, because the process is purely thermally controlled ( parallel flux model) with a low tray efficiency. Further trials will investigate the possibility of decreasing the number of trays used in the refluxing... 

The contribution of diffusion losses of the species can be evaluated in the same way as the heat loss by conduction that we elaborated above. The loss by momentum or irreversible entropy production depends on the aplication losses in pipes, in mechanical mixers, in parallel flux mixers... we have only considered the loss of momentum in an outflow determining the production a p. The mixture depends both on the external forces fj applied to each species j, and if fj derives from a potential there is the following term fj = -V it thus possible to define a genealised chemical potential... 

Vidaver, G. A., 1966, Inhibition of parallel flux and augmentation of coimter flux shown by transport models not involving a mobile carrier, /. Theor. Biol. 10 301. 

In Gunn and King s work only part of the experimental data is available as a check on the form of the dusty gas flux relations the remainder is absorbed in determining the values of the three adjustable parameters K, and In an interesting parallel investigation, Remick and... 

Geankoplis [54] fabricated a porous medium for which the values of K, and are known a priori. This was accomplished by sealing a bundle of identical parallel cylindrical capillary tubes between the two chambers of a Wlcke-Kallenbach apparatus. Then the relevant flux relations are those which apply to a single cylindrical capillary, rather than a porous medium, and these are obtained by setting... 

M. Parallel plates, laminar, parabolic velocity, developing concentration profile, constant mass flux at wall... 

Combined Pore and Solid Diffusion In porous adsorbents and ion-exchange resins, intraparticle transport can occur with pore and solid diffusion in parallel. The dominant transport process is the faster one, and this depends on the relative diffusivities and concentrations in the pore fluid and in the adsorbed phase. Often, equilibrium between the pore fluid and the solid phase can be assumed to exist locally at each point within a particle. In this case, the mass-transfer flux is expressed by ... 

At any plane in a Raoultian alloy system parallel to die original interface, the so-called chemical diffusion coefficient Dchem. which determines the flux of atoms at any given point, and is usually a function of the local composition so that according to Darken (1948), Dchem is given by... 

In the optical absorption, two different polarisations of light should be considered the electric field is along (parallel or y polarisation) and perpendicular (perpendicular or x) to the axis. Figure 5 shows the energy band of a metallic CNT for flux < )/< )o =0, 1/4 and 1/2 and the process of optical transitions for the parallel and perpendicular polarisations. Some examples of calculated absorption... 

Fig. 6. Calculated optical absorption spectra of a metallic CNT in a magnetic flux. In the case that the electric field is parallel to the axis (left), the absorption exhibits a distinct AB effect. In the case of the perpendicular polarisation (right) the depolarisation effect suppresses the absorption almost completely.

Each time the external lines of flux are drawn into the core, they pass through the sense windings B-B to generate a voltage pulse whose amplitude is proportional to the intensity of that component of the external field that is parallel to the centerline of the sense winding. The polarity, or direction of this pulse, will be determined by the polarity of the external field with respect to the sense windings. When the flux lines are expelled from the core they cut the sense... 

Hollow fiber modules, or permeators, are precisely machined units containing bundles of fine hollow fibers, positioned parallel to and around a perforated center FW tube, with only one or two bundles per pressure vessel. They are widely used for brackish and seawater supply applications. Hollow fiber modules exhibit a low flux rate (permeate flow per unit membrane per unit time) and foul easily, but... 

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