Comparison Between Experimental and Theoretical Results

The classical solution of the problem of steady laminar flow in straight ducts is based on a number of assumptions on flow conditions, Hetsroni et al. (2005) 

The flow is generated by a force due to a static pressure in the fluid. 

The flow is stationary and fully developed, i.e., it is strictly axial. 

The Knudsen number is small enough so that the fluid is a continuous medium. 

The fluids are incompressible Newtonian fluids with constant viscosity. 

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Figure 14.5 Comparison between experimental and theoretical results for turbulent flame front position and pressure-time line. Cornstarch with air at pav = 0.22 kg/m ...

Table 2 Comparison between experimental and theoretical results of relativistic and nonrelativistic transition wavelengths of C5+ and Ar17+. The experimental data have been extracted from Figure 1 of Ref. [99] and Figure 2a of Ref. [104] for C5+ and Ar17+ respectively. Reprinted with permission from [176], Copyright 2008, EDP Sciences.

In order to draw a good comparison between experimental and theoretical results, it is necessary that the kinetic data should not be influenced by the double layer. Therefore, the experimental data should be corrected for the double-layer influence. This was not always done in the literature. But even when such correction was carried out, it was sometimes done with insufficient precision. Particularly in the case when solid electrodes are used, it often happens that not only the adsorption of ions used as background electrolytes in various solvents but even the zero-charge potentials of such electrodes are not known with sufficient accuracy. Therefore, as we indicated earlier, the reactions of neutral or low-charge reactants have been preferred in recent experimental studies, since then, as follows from the simple relation for the doublelayer correction ... 

A comparison between experimental and theoretical results shows that diffusion path analysis can qualitatively predict what is observed when an anionic surfactant solution contacts oil. Experimentally, one or two intermediate phases formed at all salinities. The growth of these phases was easily observed through the use of a vertical-orientation microscope. Except when convection occurred due to an intermediate phase being denser than the phase below it, interface positions varied as the square root of time. As a result, diffusion path theory could generally he used to correctly predict the direction of movement and relative speeds of the interfaces. 

The comparison between experimental and theoretical results for Ba2CaCuFe2F14 is shown (Fig. 38) as x T vs T. gcu , and g were both fixed, from ESR findings, to 2.507 and 2.091, respectively (average value 2.24). Then, the best agreement between theory and experiment corresponds to J = —14.3 K [83]. 

Magnetic moment distributions, in fact, obscure the comparison between experimental and theoretical results for the hyperfine structure of highly charged hydrogen-like ions, such as 209gjS2+ i65jj 66+... 

It is necessary to remark that a large number of comparisons between experimental and theoretical results for microchannels have revealed a deep mismatch in the thermal boundary and inlet conditions that can preclude the use of the conventional correlations. In addition, in experiments on flow and heat transfer in microchannels, some parameters, like the channel dimensions, the average roughness, the local convective heat transfer, the local value of the static pressure along a microchannel, and so on, are difficult to measure accurately. For this reason, a large number of inconsistencies in published data are very likely to be due to experimental inaccuracies. 

Comparisons between Experimental and Theoretical Results for Selected Reactions... 

Figure 6 gives a comparison between experimental and theoretical results for adsorption of homodisperse polystyrene from 0 solvent and from good solvent. The agreement between theory and experiment is quite good. 

Significant progress achieved in the last years in the perfluoroalkylation of fullerenes initiated exhaustive theoretical studies of C2n (CFs) isomers with the aim to find the most stable structure(s) for each composition. Since the studies were performed almost a decade after the AMl-based analysis of Ceo Br i addition patterns by Clare and Kepert, they have strongly benefited from the serious progress in hardware. Instead of the maximum of about 100 structures reported in the early exploratory studies, up to thousands and tens of thousands isomers were routinely studied for CF3 derivatives, and results of the AMI studies were then verified by DFT calculations. Besides, the isolation of C6o(CF3) derivatives with each even n from 2 to 18 (in many cases each composition is also presented by several isomers) enabled more detailed comparison between experimental and theoretical results. 

This work reviews experimental studies on friction carried out with several kinds of lubricated contacts working under various conditions. Typical nonconformal contacts were in particular investigated in moderately loaded conditions [5-7]. Some significant results are reported to show the influence of several parameters on friction. A comparison between experimental and theoretical results is also performed on the basis of expressions developed for the evaluation of f. 

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