Solved: Why does the fluid acceleration become negative, Mechanical Engineering

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Why does the fluid acceleration become negative

Discuss the below:

Q: When a valve is opened, fluid flows in the expansion duct of Fig. according to the approximation

v = iU (1-x/2L) tanh Ut/L

Find

(a) the fluid acceleration at (x, t) = (L, L/U) and

(b) the time for which the fluid acceleration at x = L is zero. Why does the fluid acceleration become negative after condition (b)?

1537_Fluid flows.jpg

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