Inertial instability of the Kolmogorov flow in a rotating stratified fluidстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 22 декабря 2021 г.
Аннотация:Linear and non-linear inertial stability of a Kolmogorov flow in a rotating viscous
fluid of uniform density is investigated using the method of continued
fractions and the low-order Galerkin approximations. A necessary condition
for instability is the violation of the criterion of inviscid inertial stability, and
the sufficient condition of instability is formulated in terms of the Reynolds
criterion. The existence of stable secondary stationary regimes in the problem
is shown, developing in a context of loss of stability of the main flow and having
the form of rolls (cloud streets in the atmosphere) oriented along it. Stable
density stratification is taken into account within the same low-order model
framework when the direction of gravity coincides with the direction of rotation
of the fluid. In this case, the necessary condition for the inertial instability
of the main flow remains the same, but the critical Reynolds number for the
instability depends on two additional dimensionless parameters that appear in
the problem: the stratification parameter and the Prandtl number. The case of
Prandtl numbers less than or equal to unity has been studied in greater detail,
when there exists a secondary stationary regime, which may be unstable—in
contrast to the case of a fluid that is uniform in density—and stable density
stratification is a destabilizing factor.