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
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  and showing that these data agree very well with equations (8) and (9). Later, in the note  they tried to show that data processing used in  had serious defects while correct processing leads to results supporting conclusions formulated in  and . However, the note  again did not close the polemic: it caused the comments  rejecting the made accusations and presenting a diagram showing that the data used in  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.
A case study on the choice, interpretation and checking of multilevel models for longitudinal binary by Wolfe R.