First slide

Fluid dynamics

Question

An incompressible liquid travels as shown in Fig. The speed of the fluid in the lower branch will be

Moderate

A

1 ${ms}^{- 1}$
B

1.5 ${ms}^{- 1}$
C

2.25 ${ms}^{- 1}$
D

3 ${ms}^{- 1}$

Solution

$0.18 v + 0.12 \times 1.5 = 0.12 \times 3$
$or 0.18 v = 0.12 \times 1.5$
or $v = \frac{0.12 \times 1.5}{0.18}$ ${ms}^{- 1}$ = 1 ${ms}^{- 1}$

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