water at 20 oc is flowing in a 100-mm diameter pipe at an average velocity of 2m/s. if the diameter of the pipe is suddenly expanded to 150-mm. a) what is the new velocity? b) what is the volumetric flowrate in both pipes? c) what is the mass flowrate in pipe 1? d) what is the mass flowrate in pipe 2?



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

To know more about volumetric flowrate, refer

https://brainly.com/question/13254954

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