  In this paper, a lower bound estimate on the uniform radius of spatial
analyticity is established for solutions to the incompressible, forced
Navier-Stokes system on an n-torus. This estimate improves or matches
previously known estimates provided that certain bounds on the initial data are
satisfied. It is argued that for 2D or 3D turbulent flows, the initial data is
guaranteed to satisfy these hypothesized bounds on a significant portion of the
2D global attractor or the 3D weak attractor. In these scenarios, the estimate
obtained for 3D generalizes and improves upon that of [Doering-Titi], while in
2D, the estimate matches the best known one found in [Kukavica]. A key feature
in the approach taken here is the choice of the Wiener algebra as the phase
space, i.e., the Banach algebra of functions with absolutely convergent Fourier
series, whose structure is suitable for the use of the so-called Gevrey norms.
