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Forced turbulence combined with the effect of rotation and shear flow isstudied. In a previous paper [Leprovost and Kim, PRE in press (2008)], weconsidered the case where the shear and the rotation are perpendicular. Here,we consider the complementary case of parallel rotation and shear, elucidatinghow rotation and flow shear influence the generation of shear flow (e.g. thedirection of energy cascade), turbulence level, transport of particles andmomentum. In contrast with the case where rotation and shear are perpendicular,we found that rotation affects turbulence amplitude only for very rapidrotation ($\Omega \gg \A$) where it reduces slightly the anisotropy due toshear flow. Also, concerning the transport properties of turbulence, we findthat rotation affects only the transport of particle and only for rapidrotation, leading to an almost isotropic transport (whereas, in the case ofperpendicular rotation and shear, rotation favors isotropic transport even forslow rotation).

Analytical theory of forced rotating sheared turbulence. The Parallel case