Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Velocity Transformation Based on Compressibility-Corrected Total
  Stress   A new mean velocity transformation for compressible boundary layer flow is
derived. We identify the effects of density fluctuations and integrate these
effects into the derivation of the transformation. In-depth analysis of
compressibility effects from density fluctuations is enabled by direct
numerical simulation data existing in the literature and from the CRoCCo
laboratory. The compressible and incompressible flow data include wall-cooling,
semi-local Reynolds numbers ranging from 800 to 34000 and Mach numbers ranging
from subsonic to 12. The role, significance and physical mechanisms connecting
density fluctuations to the momentum balance and to the viscous, turbulent and
total stresses are presented. Density-fluctuation corrected formulations are
derived from these insights. We identify the significant properties that
thus-far are neglected in the derivation of velocity transformations: (1) the
Mach-invariance of the near-wall momentum balance of the
density-fluctuation-corrected total stress, and (2) the Mach-invariance of the
relative contributions by the density-fluctuation-corrected viscous and
Reynolds stresses to the total stress. The proposed velocity transformation
integrates both properties into a single transformation equation and
successfully demonstrates a collapsing of all currently considered compressible
cases onto to the incompressible law of the wall. Analyses of the log-layer
intercept and the slope demonstrate that the transformation parameters are well
within the bounds reported for incompressible data. Based on the physics
embedded in the two scaling properties, the success of the newly proposed
transformation is attributed to considering the effect of the viscous stress,
Reynolds stress, mean density and, lastly, density fluctuations, in a single
transformation form.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys