Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A theoretical framework for steady-state rheometry in generic flow
  conditions   We introduce a general decomposition of the stress tensor for incompressible
fluids in terms of its components on a tensorial basis adapted to the local
flow conditions, which include extensional flows, simple shear flows, and any
type of mixed flows. Such a basis is determined solely by the symmetric part of
the velocity gradient and allows for a straightforward interpretation of the
non-Newtonian response in any local flow conditions. In steady homogeneous
flows, the material functions that represent the components of the stress on
the adapted basis generalize and complete the classical set of viscometric
functions used to characterize the response in simple shear flows. Such a
general decomposition of the stress is effective in coherently organizing and
interpreting rheological data from laboratory measurements and computational
studies in non-viscometric steady flows of great importance for practical
applications. The decomposition of the stress in terms with clearly distinct
roles is also useful in developing constitutive models.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con