Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformable 1D steady-state Navier-Stokes equations to describe flow
  through porous media   From the definition of a generalized conformable spatial derivative, an
exponential conformable function with three parameters $(a,b,\alpha)$ is
proposed for a viscous and an inertial-viscous steady-state Navier-Stokes 1D
models, obtaining analytical solutions for both generalized conformable models.
The conformable models' parameters are optimized to compare the viscous model
to a Darcian 1D flow and the inertial-viscous model to a non-Darcian 1D model
for a specific range of Darcy numbers $(1\times10^{-2}<Da\leq 1)$. Velocity
profiles for the porous medium and the conformable model are computed and
compared, showing that the generalized conformable Navier Stokes 1D models
describe the flow through a porous medium, for both Darcian and non-Darcian
flow, without including a Darcy term or macroscopic porous characteristics.

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The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc