  Wang and Castillo have developed empirical parameters for scaling the
temperature profile of the turbulent boundary layer flowing over a heated wall
in the paper X. Wang and L. Castillo, J. Turbul., 4, 1(2003). They presented
experimental data plots that showed similarity type behavior when scaled with
their new scaling parameters. However, what was actually plotted, and what
actually showed similarity type behavior, was not the temperature profile but
the defect profile formed by subtracting the temperature in the boundary layer
from the temperature in the bulk flow. We show that if the same data and same
scaling is replotted as just the scaled temperature profile, similarity is no
longer prevalent. This failure to show both defect profile similarity and
temperature profile similarity is indicative of false similarity. The nature of
this false similarity problem is discussed in detail.
