Problem

A fluid flows along the x axis with a velocity given by V = (x/t)I, where x is in feet...

A fluid flows along the x axis with a velocity given by V = (x/t)I, where x is in feet and t in seconds. (a) Plot the speed for and t = 3s. (b) Plot the speed for x = 7 ft and (c) Determine the local and convective acceleration. (d) Show that the acceleration of any fluid particle in the flow is zero. (e) Explain physically how the velocity of a particle in this unsteady flow remains constant throughout its motion.

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