@Article{CiCP-17-1,
author = {},
title = {Direct Numerical Simulation on Mach Number and Wall Temperature Effects in the Turbulent Flows of Flat-Plate Boundary Layer},
journal = {Communications in Computational Physics},
year = {2015},
volume = {17},
number = {1},
pages = {189--212},
abstract = {<p style="text-align: justify;">In this paper, direct numerical simulation (DNS) is presented for spatially
evolving turbulent boundary layer over an isothermal flat-plate at $Ma_∞$= 2.25,5,6,8.
When $Ma_∞$=8, two cases with the ratio of wall-to-reference temperature $T_w/T_∞$=1.9
and 10.03 are considered respectively. The wall temperature approaches recovery temperatures
for other cases. The characteristics of compressible turbulent boundary layer
(CTBL) affected by freestream Mach number and wall temperature are investigated. It
focuses on assessing compressibility effects and the validity of Morkovin&#39;s hypothesis
through computing and analyzing the mean velocity profile, turbulent intensity, the
strong Reynolds analogy (SRA) and possibility density function of dilatation term. The
results show that, when the wall temperature approaches recovery temperature, the
effects of Mach number on compressibility is insignificant. As a result, the compressibility
effect is very weak and the Morkovin&#39;s hypothesis is still valid for Mach number
even up to 8. However, when Mach number equal to 8, the wall temperature effect on
the compressibility is sensitive. In this case, when $T_w/T_∞$=1.9, the Morkovin&#39;s hypothesis
is not fully valid. The validity of classical SRA depends on wall temperature
directly. A new modified SRA is proposed to eliminate such negative factor in near
wall region. Finally the effects of Mach number and wall temperature on streaks are
also studied.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.221113.280714a},
url = {https://global-sci.com/article/80376/direct-numerical-simulation-on-mach-number-and-wall-temperature-effects-in-the-turbulent-flows-of-flat-plate-boundary-layer}
}