4.16 A fluid flows along the x axis with a velocity given by V = (x/t)î, where x is in feet and t in seconds. (a) Plot the speed for 0 ≤ x ≤ 10 ft and t = 3 s. (b) Plot the speed for x = 7 ft and 2 ≤ t ≤ 4 s. (c) Determine the local and convective accel- eration. (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.
4.16 A fluid flows along the x axis with a velocity given by V = (x/t)î, where x is in feet and t in seconds. (a) Plot the speed for 0 ≤ x ≤ 10 ft and t = 3 s. (b) Plot the speed for x = 7 ft and 2 ≤ t ≤ 4 s. (c) Determine the local and convective accel- eration. (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.
Chapter2: Loads On Structures
Section: Chapter Questions
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The study of how gases and liquids behave, particularly the forces they generate, is known as fluid mechanics. Fluid dynamics is a topic that interests many scientific fields. For instance, in order to anticipate the weather, meteorologists attempt to predict the velocity of the planet's fluid atmosphere.
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