(a) How do you classify losses in pipes ? Derive the expression for h…

Previous year question for FLUID MECHANICS-I.

Question

(a) How do you classify losses in pipes ? Derive the expression for head loss in a pipe due sudden expansion. (10)

(b) A pipe of diameter $50 \text{ cm}$ and length $4000 \text{ m}$ connects two reservoirs A and B. The water surface levels in A and B are $40 \text{ m}$ and $30 \text{ m}$ above datum respectively. At a distance of $1000 \text{ m}$ along the pipe from its entrance at a point D, there is a branch pipe line of $40 \text{ cm}$ diameter and $1500 \text{ m}$ long through which water can be supplied to a third reservoir C. If the piezometric head at D is $33 \text{ m}$, find

(i) the discharge into reservoirs B and C and

(ii) the water surface level in reservoir C above the datum.

Take Darcy-Weisbach $f$ for each pipe as $0.032$, neglect the minor losses and velocity head. (10)

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