Answer:
The volume flow rate of air is [tex]Q=A\times V[/tex]
Explanation:
A random duct is shown in the below attached figure
The volume flow rate is defined as the volume of fluid that passes a section in unit amount of time
Now by definition of velocity we can see that 'v' m/s means that in 1 second the flow occupies a length of 'v' meters
From the attached figure we can see that
The volume of the prism that the flow occupies in 1 second equals
[tex]Volume=Area\times V=A\times V[/tex]
Hence the volume flow rate is [tex]Q=V\times A[/tex]