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Flow in a streamtube

In the above figure we have indicated the difference between the space C occupied by the amount of fluid under consideration at the initial instant of time t and the space C' occupied at the later instant of time t+Δt. On the lefthand side of the amount of fluid under consideration we find a displacement of Δl1, on the righthand side a displacement of Δl2. Hence, on the lefthand side, the amount of fluid under consideration recieved an amount of work given by ΔW1 = F1 × Δl1 whereas, on the righthand side, the amount of fluid under consideration delivered an amount of work given by ΔW2 = F2 × Δl2

streamtube