) a liquid of density 1150 kg/m3 flows steadily through a pipe of varying diameter and height. at location 1, the flow speed is 9.21 m/s and the pipe diameter is 11.5 cm. at location 2, the pipe diameter is 15.5 cm. at location 1, the pipe is 9.15 m higher than it is at location 2. ignoring viscosity, calculate the difference in pressure between location 2 and location 1.

Respuesta :

a liquid of density 1150 kg/m3 flows steadily through a pipe of varying diameter and height. at location 1, the flow speed is 9.21 m/s and the pipe diameter is 11.5 cm. at location 2, the pipe diameter is 15.5 cm. at location 1, the pipe is 9.15 m higher than it is at location 2. ignoring viscosity, dP = 114 kPa the difference in pressure between location 2 and location 1.

The difference between fluid pressure at location 2 and fluid pressure at location 1 is mathematically given as

dP = 114 kPa

Question Parameter(s):

Generally, the Bernoulli's equation  is mathematically given as

P + ρ*g*y + v² =pipe  constant

Where

A1*v1 = A2*v2

π*(0.105/2)²*9.91 = π*(0.167/2)²*v2

v2 = 3.9 m/s

Therefore

P1 + ρ*g*y1 + v1² = P2 + ρ*g*y2 + v2²

dP = 1290*9.8*9.01 + 9.91² - 3.9²

dP = 114 kPa

In conclusion, difference between fluid pressure is

dP = 114 kPa

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