The intake in Figure has cross-sectional area of and water flow at . At the outlet, distance below the intake, the cross-sectional area is smaller than at the intake, and the water flows out at into the equipment. What is the pressure difference between inlet and outlet?
The pressure difference between inlet and outlet of the pipe is .
The cross-sectional area of the inlet, .
The speed of the water at the inlet, .
The depth of the outlet,.
The speed of the water at the outlet, .
By applying Bernoulli’s principle, determine the pressure difference between inlet and outlet. According to Bernoulli’s equation, as the speed of a moving fluid increases, the pressure within the fluid decreases.
The equation is as follows:
Where, p is pressure, v is velocity, h is height, g is the acceleration due to gravity, h is height and is density.
The water flow should obey Bernoulli’s principle,
Where, and density of water
Thus, putting the values,
Hence, the pressure difference between inlet and outlet of the pipe is .
Blood pressure in Argentinosaurus. (a) If this longnecked, gigantic sauropod had a head height of 21 m and a heart height of9.0m, what (hydrostatic) gauge pressure in its blood was required at the heart such that the blood pressure at the brain was 80 torr (just enough to perfuse the brain with blood)? Assume the blood had a density of . (b) What was the blood pressure (in torr or mm ) at the feet?
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