There are various synonyms for the word "flowed on" which refer to the movement of water or other liquids. These synonyms include streamed, gushed, poured, rushed, spilled, cascaded, and trickled. Each of these words paints a slightly different picture of the movement of the liquid, from a strong, forceful stream to a gentle, meandering trickle. Moreover, these synonyms can also be used metaphorically to describe the movement of time or events. For example, a story might flow on smoothly and seamlessly, or a process might flow on in a systematic and efficient manner. In all cases, these synonyms capture the idea of movement and progression.