Question

A Venturi meter (see below) uses the principles of the Bernoulli equation to measure the velocity of a flow in a reactor system. Consider using a venture flow meter to measure the flow rate of water (at 280ºC) through a pipe 5.0 cm in diameter. The throat of the Venturi meter, the narrowest point, has a diameter of 1.0 cm. The pressure difference measured between the two locations is 30 kPa. Calculate the volume flow rate of the water, in m3 /s.

Answer 1

Answer:

Q=0.000604 m³/s

Explanation:

Given that

d₁=5 cm

d₂=1 cm

P= 30 KPa

Density of water ,ρ=1000 kg/m³

As we know that volume flow rate Q given as

$Q=A_1A_2\sqrt{\dfrac{\dfrac{2\Delta P}{\rho}}{A_1^2-A_2^2}}$

$A_1=\dfrac{\pi}{4}\times 0.05^2\ m^2$

A₁=0.0019 m²

$A_2\dfrac{\pi}{4}\times 0.01^2\ m^2$

A₂=0.000078 m²

$Q=0.0019 \times 0.000078 \sqrt{\dfrac{\dfrac{2\times 30\times 1000}{1000}}{0.0019^2-0.000078^2}}\ m^3/s$

Q=0.000604 m³/s