In elementary compressible fl ow theory , compressedair will exhaust from a small hole in a tank at themass fl ow rate m # ≈ C ρ , where ρ is the air density in thetank and C is a constant. If ρ 0 is the initial density in a tankof volume 9 , derive a formula for the density change ρ ( t )after the hole is opened. Apply your formula to the followingcase: a spherical tank of diameter 50 cm, with initialpressure 300 kPa and temperature 100 ° C, and a hole whoseinitial exhaust rate is 0.01 kg/s. Find the time required forthe tank density to drop by 50 percent.
In elementary compressible fl ow theory , compressedair will exhaust from a small hole in a tank at themass fl ow rate m # ≈ C ρ , where ρ is the air density in thetank and C is a constant. If ρ 0 is the initial density in a tankof volume 9 , derive a formula for the density change ρ ( t )after the hole is opened. Apply your formula to the followingcase: a spherical tank of diameter 50 cm, with initialpressure 300 kPa and temperature 100 ° C, and a hole whoseinitial exhaust rate is 0.01 kg/s. Find the time required forthe tank density to drop by 50 percent.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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In elementary compressible fl ow theory , compressed
air will exhaust from a small hole in a tank at the
mass fl ow rate m # ≈ C ρ , where ρ is the air density in the
tank and C is a constant. If ρ 0 is the initial density in a tank
of volume 9 , derive a formula for the density change ρ ( t )
after the hole is opened. Apply your formula to the following
case: a spherical tank of diameter 50 cm, with initial
pressure 300 kPa and temperature 100 ° C, and a hole whose
initial exhaust rate is 0.01 kg/s. Find the time required for
the tank density to drop by 50 percent.
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