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A case study on the choice, interpretation and checking of by Wolfe R. PDF

By Wolfe R.

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Additional info for A case study on the choice, interpretation and checking of multilevel models for longitudinal binary

Example text

Nevertheless, since not all coherent structures are known well enough and in principle some of them may affect U (z), it is impossible to exclude the possibility that “classical similarity laws” represent only a reasonable first approximations valid only when the influences on the mean velocity U (z) of the length L at z L and of the viscosity ν at z lw may be neglected. Therefore, found in experiments precise validity of the logarithmic law (1) with universal values of coefficients A and B may be considered as a proof of the negligibility of these influences, while discovered violations of this law or nonuniversality of its coefficients show that there exist some nonnegligible such influences.

83] presented some diagrams obtained by processing of the original data used in [86] and showing that these data agree very well with equations (8) and (9). Later, in the note [90] they tried to show that data processing used in [86] had serious defects while correct processing leads to results supporting conclusions formulated in [83] and [76]. However, the note [90] again did not close the polemic: it caused the comments [91] rejecting the made accusations and presenting a diagram showing that the data used in [86] agree with the logarithmic law (1) not worse (maybe even slightly better) than with the power law (8).

In the case of equation (8) subsequent physical arguments maybe will help to determine the strict conditions of its validity. Moreover, if some necessary, or sufficient, conditions of validity will be found for the law (8), they probably will also help to estimate quantitatively its accuracy. The accuracy estimate is important for equations (8) and (9) since the degree of their agreement with the available experimental data is up to now a point of controversy. Experimental studies of near-wall turbulent flows continue to be popular and recently several such investigations claiming to be quite accurate were carried out but this did not clarify the situation.

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A case study on the choice, interpretation and checking of multilevel models for longitudinal binary by Wolfe R.


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