Question

determine the velocity of steam flowing in a circular pipe with a diameter of 4 inches and volume flow rate of 4 liters per second.

Answer 1

$\frac{dQ}{dt}=Av\rightarrow (1)$

$A=\pi r^2$

r=2inch

$r=2\times254\times10^{-4}m$

$\frac{dQ}{dt}=4 liter/sec$

$\frac{dQ}{dt}=4\times10^{-3}m^3$

$$A=\pi r^2=3.14\times(0.0508)^2=8.103\times10^{-3}m^2$$

$$v=\frac{\frac{dQ}{dt}}{A}=\frac{4\times10^{-3}}{8.103\times10^{-3}}=0.50m/sec$$