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Fluid Mechanics

Continuity Equation-I

In steady flo...

Question

In steady flow of a compressible fluid through a pipe, the density, area and velocity at a particular section are $1.5 k g / m^{3}$ , $0.5 / m^{2}$ and 3 m/s, respectively. At another section the density and area are $0.75 k g / m^{3}$ and $1.0 / m^{2}$ respectively. What is the velocity at this section?

A

1.5 m/s

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B

3.0 m/s

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C

4.5 m/s

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D

6.0 m/s

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Solution

The correct option is D 6.0 m/s
(b)
Continuity equation for fluid flow is

$ρ_{1} A_{1} V_{1} = ρ_{2} A_{2} V_{2}$

$V_{2} = \frac{1.5 \times 0.5 \times 3}{0.75 \times 1} = 3 m / s$

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