Question

In: Physics

1.A steel tube carries gasoline (?= 751 kg/m3) at an average velocity of 2.05 m/s. If...

1.A steel tube carries gasoline (?= 751 kg/m3) at an average velocity of 2.05 m/s. If the inside diameter of the tube is 1.27 inches, find the volume flow rate and the mass flow rate.

2.Two streams, a cold stream and a hot stream, enter a mixing chamber where both streams combine and exit through a single tube. The mass flow rate of the hot stream is 5 kg/s, and the inside diameter of the tube carrying the cold stream is 3 cm. Find the mass flow rate of the cold stream required to produce an exit velocity of 8 m/s in a tube with an inside diameter of 4.5 cm. Take density as 1000 kg/m3 if necessary.

3.A ventilation duct supplies fresh filtered air to a clean room where semiconductor devices are manufactured. The cross section of the filter is 1.2 m × 1.6 m. If the volume flow rate of air to the clean room is 3 m3/s, find the average velocity of the air as it passes through the filter. If ? = 1.194 kg/m3 for the air, find the mass flow rate.

4.A nozzle is a device that accelerates the flow of a fluid. A circular nozzle that converges from an inside diameter of 25 cm to 15 cm carries a gas at 45 gal/min. Find the change in average velocity of the gas.

Solutions

Expert Solution

1 )

= 751 kg/m3

V = average velocity = 2.05 m/s

d = diameter of the tube is 1.27 inches = 0.0322 m

r = 0.0161 m

A = 3.14 X 0.01612 = 8.13 X 10-4 m2

Mflow rate = the mass flow rate = ?

the volume flow rate = Vflowrate  

Mflow rate = V A

= 751 X 2.05 X 8.13 X 10-4

Mflow rate = 1.251 kg/sec

Mflowrate = Vflow rate

1.251 / 751 = Vflow rate

Vflowrate = 1.665 X 10-3 m3/sec  

2 )

V = 8 m/s

d = 4.5 cm

r = 2.25 cm = 0.0225 m

A = 3.14 X 0.02252   

= 1000 kg/m3  

Mflow rate = V A

Mflow rate = 1000 X 8 X 3.14 X 0.02252   

Mflow rate = 12.717 kg/sec

3 )

A = 1.2 m X 1.6 m

Vflowrate = 3 m3/s

= 1.194 kg/m3 for the air,

find the mass flow rate.

Mflowrate = Vflow rate  

Mflowrate = 1.194 X 3

Mflowrate = 3.582 kg/sec

4 )

Vflow rate  = A V

Vflow rate  = 45 gal/min = 0.00283 m3/sec

V = Vflow rate / A

V = 0.00283 / 3.14 X ( 0.1252 - 0.0752 )

V = 0.090127 m/s


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