Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical Modeling of Sediments in the Filter and Improvement of the
  Filter Construction   The filters work in many areas of technology. There constructions are
different and substances under filtration are different. It is necessary in
some cases to take into account forming of sediments on the walls of the filter
since they can change properties of the filter or blind the filtering apertures
at all. I construct a mathematical model of sedimentation growth on the walls
of the porous filter in this article. Analytical investigation is present in
the article and numeric results too. There are formulas for dependencies of
concentration near the walls on inner concentration in liquid in the article.
Flow speed, calculated time of work, purification efficiency and other
parameters proved to be important factors. Differing of radiuses of apertures
from membrane to membrane can make contamination equal along the filter.
Numerical results show importance of preliminary calculation of the filter for
the purpose it will serve. Forming of calcic sediment is an investigated
example of chemical reaction.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int