Flow is a literary model of enjoyment, its based around the concept that the experience is "so gratifying that people are willing to do it for its own sake"
task
ability to concentrate on the task
the task has clear goals
the task provides immediate feedback
ability to exercise a sense of control over actions
deep and effortless involvement that removes awareness of worries and frustrations of everyday life - immersion
concern for self disappears but sense of self
sense of duration of time is altered
Summery
In summery Flow is needed in a game to make it enjoyable and repayable which is essential if you want someone to play your game and for a long time.