Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian formulation of turbulent premixed combustion   The Lagrangian point of view is adopted to study turbulent premixed
combustion. The evolution of the volume fraction of combustion products is
established by the Reynolds transport theorem. It emerges that the burned-mass
fraction is led by the turbulent particle motion, by the flame front velocity,
and by the mean curvature of the flame front. A physical requirement connecting
particle turbulent dispersion and flame front velocity is obtained from
equating the expansion rates of the flame front progression and of the unburned
particles spread. The resulting description compares favorably with
experimental data. In the case of a zero-curvature flame, with a non-Markovian
parabolic model for turbulent dispersion, the formulation yields the Zimont
equation extended to all elapsed times and fully determined by turbulence
characteristics. The exact solution of the extended Zimont equation is
calculated and analyzed to bring out different regimes.

19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom