Diffusion from sources

Hunt, J.C.R. (1985) Turbulent diffusion from sources in complex flows. Ann. Rev. Fluid Mech. 17,447 185. 

FIG. 25-18 Biophysical model for the hiolayer. Cg is the concentration in the gas phase. The two concentration profiles shown in the hiolayer (C ) refer to (1) elimination reaction rate limited, and (2) diffusion hmited. (SOURCE Redrawn from Ref. 26.)... 

There are two main sources of Rn to the ocean (1) the decay of sediment-bound "Ra and (2) decay of dissolved "Ra in a water column. Radon can enter the sediment porewater through alpha recoil during decay events. Since radon is chemically inert, it readily diffuses from bottom sediments into overlying waters. The diffusion of radon from sediments to the water column gives rise to the disequilibrium (excess Rn) observed in near-bottom waters. Radon is also continuously being produced in the water column through the decay of dissolved or particulate "Ra. 

Strimaitis, D., Hoffnagle, G., and Bass, A., "On-Site Meteorological Instmmentation Requirements to Characterize Diffusion from Point Sources—Workshop Report," EPA-6(X)/9-81-020. U.S. Environmental Protection Agency, Research Triangle Park, NC, 1981. 

In addition to the effects discussed above, two further possible sources of discrimination peculiar to ion-molecule reactions must be considered. First, although it is known that most primary ions are formed without kinetic energy, such may not be the case for ions produced by ion molecule reactions. Secondary ions formed in exothermic ion-molecule reactions could retain a considerable fraction of the exo-thermicity as kinetic energy and diffuse from the sampling region at a rate considerably greater than predicted from the ambient temperature. The limited evidence to date (40) indicates that the kinetic energy of the product ions is small, but this may not be true for all types of reactions. 

Experimental measurements of DH in a-Si H using SIMS were first performed by Carlson and Magee (1978). A sample is grown that contains a thin layer in which a small amount (=1-3 at. %) of the bonded hydrogen is replaced with deuterium. When annealed at elevated temperatures, the deuterium diffuses into the top and bottom layers and the deuterium profile is measured using SIMS. The diffusion coefficient is obtained by subtracting the control profile from the annealed profile and fitting the concentration values to the expression, valid for diffusion from a semiinfinite source into a semi-infinite half-plane (Crank, 1956),... 

Fig. 3 a - c. Schematic diagram illustrating the decreasing source method for diffusion transport determination of any organic pollutant in solution or leached from complex mixtures, as follows a column setup b pollutant concentration vs time in source and collection reservoirs during the test c pollutant concentration in solid-pore water with depth from source after the test... 

The organic pollutant species diffusing from the source reservoir must be continuously replenished while the mass of the organic pollutant species diffusing into the collection reservoir is continuously removed in order to maintain a constant concentration difference across the sample. This is shown as the pollutant flushing system in Fig. 4 a, b. 

Wrap a sheet of paper around vials 1 and 2 to prevent light from entering the sides of the solutions. Looking down through the vials over a diffuse light source, adjust the volume of the standard solution in vial 1 until the colour intensity in the vials is the same. Use a medicine dropper to remove or add standard solution. Be careful not to add standard solution to vial 2. 

According to measurements made in the atmosphere, the Lagrangian time scale is of the order of 100 sec (Csanady, 1973). Using a characteristic particle velocity of 5 m sec", the above conditions are 100 sec and L > 500 m. Since one primary concern is to examine diffusion from point sources such as industrial stacks, which are generally characterized by small T and L, it is apparent that either one (but particularly the second one) or both of the above constraints cannot be satisfied, at least locally, in the vicinity of the point-like source. Therefore, in these situations, it is important to assess the error incurred by the use of the atmospheric diffusion equation. 

Some gases have subsurfece sources that are related to physical phenomena, such as inputs from the introduction of hydrothermal fluids in bottom waters or release from warming sediments. The latter is a source of methane, which can occur in sediments in a solid phase called a clathrate hydrate. Biogeochemical reactions in sediments can also produce gases that diffuse from the pore waters into the deep sea. 

Schematic diagram of the coupled iron and phosphate cycles during early diagenesis in marine sediments. Light gray ovals and circles represent solid phases black arrows are solid-phase fluxes. White outlined black arrows Indicate reactions white arrows are diffusion pathways. Source From Ruttenberg, K. C. (2003). Treatise on Geochemistry, Elsevier Ltd. pp. 585-643.

One of the central problems in air pollution research and control is to determine the quantitative relationship between ambient air quality and emission of pollutants from sources. Effective strategies to control pollutants can not be devised without this information. This question has been mainly addressed in the past with source-oriented techniques such as emission inventories and predictive diffusion models with which one traces pollutants from source to receptor. More recently, much effort has been directed toward developing receptor-oriented models that start with the receptor and reconstruct the source contributions. As is the case with much of air pollutant research, improvements in pollutant chemical analysis techniques have greatly enhanced the results of receptor modeling. 

Diffusion from a Point Source into a Mdving Fluid. 218... 

The problem of diffusion from a point source has been studied under more general conditions by Klinkenberg, Krajenbrink, and Lauwerier (K12). These authors discuss the solution of the equation... 

The diffusion from a point source in a tube has also been studied by... 

Bernard and Wilhelm (B8), and the diffusion from an instantaneous point source into a turbulent atmosphere has been investigated by Davies (Dl). 

It was observed in the previous section that a certain limit case of non-reactive binary ion-exchange is described by the porous medium equation with m = 2 in other words, a weak shock is to be expected at the boundary of the support. Recall that this shock results from a specific interplay of ion migration in a self-consistent electric field with diffusion. Another source of shocks (weak or even strong in the sense to be elaborated upon below) may be fast reactions of ion binding by the ion-exchanger. 

Fate of urea Urea diffuses from the liver, and is transported in the blood to the kidneys, where it is filtered and excreted in the urine. A portion of the urea diffuses from the blood into the intestine, and is cleaved to CO2 and NH3 by bacterial urease. This ammonia is partly lost in the feces, and is partly reabsorbed into the blood. In patients with kidney failure, plasma urea levels are elevated, promoting a greater transfer of urea from blood into the gut. The intestinal action of urease on this urea becomes a clinically important source of ammonia, contributing to the hyperam-... 

But the activity of C+ in the membrane (dAm) is very nearly constant for the following reason The high concentration of LC+ in the membrane is in equilibrium with free L and a small concentration of free C+ in the membrane. The hydrophobic anion R is poorly soluble in water and therefore cannot leave the membrane. Very little C+ can diffuse out of the membrane because each C+ that enters the aqueous phase leaves behind one R in the membrane. (This separation of charge is the source of the potential difference at the phase boundary.) As soon as a tiny fraction of C diffuses from the membrane into solution, further diffusion is prevented by excess positive charge in the solution near the membrane. 

In actual practice, any tubular light source will have a finite diameter and will not behave as a true line source. Radiation from an extended light source will emanate from points displaced from the lamp s axis, causing the lamp to appear rather like a diffuse light source. In addition, imperfections in the... 

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