Answer :
a) New velocity = 2.093 m/s
b) Volumetric flowrate in 100 mm diameter pipe= 157 liter/sec
Volumetric flowrate in 150 mm diameter pipe = 355 liter/sec
c) Mass flowrate in pipe 1= 0.0075 m²/s
Mass flowrate in pipe 2 = 0.017 m²/s
In fluid dynamics, the volume of fluid which passes per unit time is called volumetric flow. It is denoted by the symbol Q.
Given d= 100mm= 0.1m
and average velocity= 2m/s
A= π/4 *d²
= π/4 *(0.1)²
= 0.0075 m²/s
Q= A* V
= 0.0075 * 2
= 0.0157 m³/s
= 157 liter/sec
when d= 150mm= 0.15m
V = Q/A
= 0.0157/0.0075
= 2.093 m/s
A= π/4 *(0.15)²
= 0.017 m²/s
Q=A *V
=0.017* 2.093
= 0.035m³/s
= 355 liters/sec
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