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The phrase "a smooth flow of" is correct and usable in written English.
It can be used to describe a seamless or uninterrupted progression of something, such as ideas, processes, or movements.
Example: "The presentation was well-structured, allowing for a smooth flow of information that kept the audience engaged."
Alternatives: "a seamless progression of" or "an uninterrupted stream of".
Exact(33)
The dancers tilted at unimaginable, dangerous-looking angles in a smooth flow of surprising movement.
Also, a smooth flow of molten plastic into the cavities reduces the internal and external defects.
On the line "Und ruhig fliesst der Rhein" ("And the Rhine flows quietly") in the same song his voice took on a smooth flow of its own.
The car also incorporates BMW's air curtain, a vent in the lower front fascia that sets up a smooth flow of air over the front wheels, reducing drag.
The government intervened in almost all aspects of Canadian life to regulate the war effort, ensure a smooth flow of troops and supplies, and curtail inflation.
In New Jersey, with 566 municipalities, 21 counties and many state offices with responsibility for first response, several programs to ensure a smooth flow of information have been successfully implemented.
Similar(27)
The dendrites of kainate receptor-containing cells make basal contacts and respond to a smoothed flow of glutamate that produces sustained responses.
Premier Li Keqiang, speaking at a news conference in Beijing, demanded that the "relevant party" step up coordination while China's civil aviation chief said he wanted a "smoother" flow of information from Malaysia, which has come under heavy criticism for its handling of the disaster.
What that appeal seems to be based on is a smooth flow, with some of his benefactor Lil Wayne's woozy delivery (although none of his cartoon menace), a little Jay-Z-style erudition, and the soul class of Kanye, with plenty of R&B-ish Auto-Tuned accessibility.
As a consequence, we show that a surgically modified flow which is sufficiently close to a smooth flow in the sense of geometric measure theory is, in fact, free of surgeries.
What we should be aiming for is a continuous, smooth flow of traffic".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com