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The newly proposed group, Matrix-Fracture Diffusion Number (NM-FD), will be critical in evaluating the performance of enhanced oil recovery, CO2 sequestration and contaminant transport problems.
A differential diffusion number based on the gradient of residence times is proposed, in an attempt to globally quantify differential diffusion effects in burners.
Solution of case (1) is defined by the dimensionless Peclet number Pe2 = υL2/D and a dimensionless "thermal diffusion number" Td = α ln (T∞/T0), where υ is average gas velocity in the tube, D is the reagent gas carrier gas binary diffusion coefficient, and α is the reagent gas carrier gas thermal diffusion factor.
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Consequently, the work presented here successfully combines FCCS and PCH and FLIM to assess the intracellular localization, binding affinity, mobility, and composition of TLR9 and its ligands by estimating the diffusion time, number of molecules, fluorescence lifetime, brightness and stoichiometry of interaction (Figure 1a) in live single cells.
Sh = 0.01Sc^{frac{1}{3}} frac{Re}{varepsilon } (6 where Sc – Schmidt criterion (diffusion Prandtl number); Re – Reynolds criterion.
Some physico- or electrochemical properties such as diffusion coefficient, number of transferred electrons, peak potential and heterogeneous standard rate constants of the compounds were determined in nonaqueous media.
The hydrodynamic parameters of the fluidised bed including: porosity, Sherwood criterion (diffusion Nusselt number), and mass transfer coefficient (external surface) were calculated.
Mass transfer coefficient per unit of external surface of phase contact was calculated in accordance with (Todes and Cytovych 1981): beta = frac{Sh cdot D}{d} (5 where Sh – Sherwood criterion (diffusion Nusselt number); D – the diffusion coefficient of the gas phase, m2/s; d – the average size of coal grain, m.
The diffusion Deborah number, θ, decreases monotonically with ethylbenzene content, while D increases with ethylbenzene content, but no systematic changes in θ or D were found with molecular weight.
For diffusion, a number of recent studies brought attention to the essential role of spatial non-uniformity and rate-limiting diffusion of specific coagulation factors thus proposing new concepts of clotting regulation, alternative to the classic "cascade" paradigm [ 1, 3- 6].
The results of pilot test indicated that the reaction-diffusion criterion number was 0.036 when the operating temperature was 150 °C.
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