Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prediction of shock wave configurations in compression ramp flows   Here, we provide a theoretical framework revealing that a steady compression
ramp flow must have the minimal dissipation of kinetic energy, and can be
demonstrated using the least action principle. For a given inflow Mach number
$M_{0}$ and ramp angle $\alpha$, the separation angle $\theta_{s}$ manifesting
flow system states can be determined based on this theory. Thus, both the
shapes of shock wave configurations and pressure peak $p_{peak}$ behind
reattachment shock waves are predictable. These theoretical predictions agree
excellently with both experimental data and numerical simulations, covering a
wide range of $M_{0}$ and $\alpha$. In addition, for a large separation, the
theory indicates that $\theta_{s}$ only depends on $M_{0}$ and $\alpha$, but is
independent of the Reynolds number $Re$ and wall temperature $T_{w}$. These
facts suggest that the proposed theoretical framework can be applied to other
flow systems dominated by shock waves, which are ubiquitous in aerospace
engineering.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat