A fluid flows through a pipe which is shaped in such a way that the velocity field depends linearly on the position x along the pipe (Fig. 10.7). At the inlet (x = 0), the velocity is v₀. At the outlet (x = L), it is 3 v₀. Determine the acceleration a (x) of a small volume of fluid. Numerical Application:A pipe imposes a certain velocity field v (x, t) to the fluid flowing through it.

Vo 3 m/s, L= 0.3 m. % L = 30 cm V= 3%