Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion in Evaporating Polymer Solutions: A Model in the Dissipative
  Formalism of Nonequilibrium Thermodynamics   In this paper, diffusion in polymer solutions undergoing evaporation of
solvent is modeled as a coupled heat and mass transfer problem with moving
boundary condition within the framework of nonequilibrium thermodynamics. The
proposed governing equations derived from the fundamental equation of classical
thermodynamics using the local equilibrium hypothesis display more complex
connection between heat and non-convective mass fluxes than what has been
presented in the previous research works. Numerical computations, performed
using an explicit finite difference scheme, indicate that the model is able to
capture the effect of thermal diffusion in polymer solutions. This effect
manifests itself as an increase in local concentration of solvent near warm
substrates during solution casting process.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga