"move evenly" is a correct and usable phrase in written English.
It is typically used to describe the movement of something in a smooth and consistent manner. Example: The dancer glided across the stage, her feet moving evenly and gracefully to the rhythm of the music.
The ribs are hung on hooks so that the heat can move evenly around the meat.
Even the heating and cooling system introduces incoming air in smooth sheets that move evenly from ceiling to floor to avoid air currents that jostle the microscopes.
In other words, researchers do not move evenly through the academic system; from a doctorate to a faculty position, most should expect to move down the ladder defined by the prestige rankings.
When your body is in balance it can move evenly and symmetrically.
Furthermore, birds do seem to be able to learn that the sun's azimuth does not move evenly around the horizon through the day, which would indicate that fairly subtle information can be acquired (summarized in Wallraff, 2005).
Move evenly and carefully across the glass.
Technically formidable, he has what music teachers call a "focused" tone: strong and well-defined, moving evenly through fast or emotional passages.
And yet -- though perhaps this is not such a big contradiction -- most of the pieces turned out to be rather traditional in moving evenly through time by means of motivic development and instrumental dialogue.
We experience the earth as stable and still, but it might well be racing around the cosmos, just as we could lock ourselves up in the hold of a ship and, if it was moving evenly, never know that it was moving at all.
Hold your heat gun or blow dryer to the candle, moving evenly back and forth for about 45 seconds.
To calm the storm means to quiet the outer layer, to cause it, by whatever countervailing means, to swirl much less, to move more evenly to match the velocity of the inner, far less volatile core -- till whatever has been lifted into such a vicious funnel falls back to Earth, lays down, is peaceable again.
