"consistently moving" is grammatically correct and can be used in written English
It means something that is continuously or regularly in motion. Example: The river was consistently moving, its strong current never slowing down.
Non-stop shuttle transport keep the flow of bodies consistently moving.
What they supply (apart from what is probably the best fight sequence, between Edgar and Edmund, ever staged - it rolls the action from floor to platform in ceaseless, hostile action) is more intellectually astute than consistently moving.
Song for song, none of the concerts were as consistently moving as the national telecast "America: A Tribute to Heroes" on Sept. 21, for which each performer selected just one trenchant song.
Reichardt is a pleasureless artist, an anti-sensualist, but, in her thorny way, she uses classical film technique — parallel editing of both camera and people consistently moving west — to indicate that, despite her many revisions, the pioneer spirit isn't quite a sentimental invention.
Initially positioned on the left of a three-man attack, with Lazar Markovic on the right and Benteke the central striker, Firmino had the licence to roam and did just that, consistently moving across and through Swindon's defence during the first half.
The soloists — Tiffany Rosenquist de la Torre, soprano; Meg Bragle, mezzo-soprano; Steven Caldicott Wilson, tenor; and Jesse Blumberg, baritone — were well matched in the duets, and consistently moving in their solo contributions, though Ms. Bragle's supple account of the Agnus Dei stood out as a clear highlight.
In other preparations, we observed a consistent pattern, for example in Fig. 8B, where the wave of contraction consistently moved from the tip to the base.
Bengals O vs. Chargers D The Bengals consistently moved the ball on the Chargers.
Reggie Bush had success bouncing to the outside while the bigger Daniel Thomas consistently moved the chains inside.
He lacks the burst and leverage needed to consistently move the chains in short-yardage situations.
While Putin may have flip-flopped on economic issues, he has consistently moved toward greater consolidation of his own power.
