  Its is a well known fact that Turbulence exhibits non-locality, however,
modeling has largely received local treatment following the work of Prandl over
mixing-length model. Thus, in this article we report our findings by
formulating a non-local closure model for Reynolds-averaged Navier-Stokes
(RANS) equation using Fractional Calculus. Two model formulations are studied,
namely one- and two-sided for Channel, Pipe and Couette flow, where the results
shown have less 1% error. The motivation of two-sided model lies in recognising
the fact that non-locality at a given spatial location is an aggregate of all
directions. Furthermore, scaling laws and asymptotic relationship for Couette,
Channel and Pipe flow is reported. It is to be noted that modeling in wall
units, no additional coefficient appears, thus there models could be applied to
complex flows with ease.
