Explanation Given: The diameter at A ( d A ) is 0.5 in. The diameter at B ( d B ) is 0.3 in. The datum at A ( z A ) is 10 in. The datum at B ( z B ) is 0. Calculation: The assumption made in the problem is given as follows: Consider the water stream as control volume. The Flow at A and B is exposed to atmosphere. So the pressure at point A and B are zero. Apply continuity equation. ∂ ∂ t ∫ c v ρ d V + ∫ c s ρ V ⋅ d A = 0 0 − V A A A + V B A B = 0 − V A A A + V B A B = 0 [ − V A × ( π 4 × d A 2 ) ] + [ V B × ( π 4 × d B 2 ) ] = 0 − V A × ( π 4 × ( 0.5 ) 2 ) + V B × ( π 4 × ( 0.3 ) 2 ) = 0 − 0.196 V A + 0.070 V B = 0 V A = 0.36 V B (I) Apply Bernoulli equation between A and B . p A ρ + V A 2 2 + g z A = p B ρ + V B 2 2 + g z B 0 + V A 2 2 + 32

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ISBN: 2819480256061

Author: HIBBELER

Publisher: INTER PEAR

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Chapter 5, Problem 43P

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The mass flow rate of the water.

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Chapter 5, Problem 42P

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