First slide

Fluid dynamics

Question

An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is

Moderate

A

3.0 m/s
B

1.5 m/s
C

1.0 m/s
D

2.25 m/s

Solution

If the liquid is incompressible then mass of liquid entering through left end, should be equal to mass of liquid coming out from the right end.
$\begin{array}{l} ∴ M = m_{1} + m_{2} \Rightarrow {Av}_{1} = {Av}_{2} + 1 .5 A \cdot v \\ \Rightarrow A \times 3 = A \times 1 .5 + 1 .5 A . v \Rightarrow v = 1 m / s \end{array}$

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