Linear analysis of generalized turbulent hyperbolic flow in a rotating frame
Journal
Physics of Fluids
Date Issued
December 26, 2007
Author(s)
DOI
10.1063/1.2821911
Abstract
We apply inviscid rapid distortion theory to the generalized case of turbulent hyperbolic flow in a
rotating frame and investigate the dependence of the evolution of the turbulent kinetic energy on the
frame rotation rate. We derive an analytical two-dimensional solution which allows for an accurate
approximation of the three-dimensional initially isotropic problem. From the analytical solutions we
determine a new generalized stability criterion for the evolution of the turbulent kinetic energy in
this class of flows
rotating frame and investigate the dependence of the evolution of the turbulent kinetic energy on the
frame rotation rate. We derive an analytical two-dimensional solution which allows for an accurate
approximation of the three-dimensional initially isotropic problem. From the analytical solutions we
determine a new generalized stability criterion for the evolution of the turbulent kinetic energy in
this class of flows