An incompressible fluid (water) flows steadily from an open tank. The elevation of point 1 is 10.0m, and the elevation of point 2 and 3 is 2.00m. The cross-sectional area at point 2 is 0.0680 m2, at point 3 it is 0.0360 m2. The area of the tank is very large compared to the cross-sectional area of the pipe. Assuming that Bernoulli’s equation applies, compute: (a) The discharge rate in cubic meters per second; (b) The gauge pressure at point 2.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
An incompressible fluid (water) flows steadily from an open tank. The elevation of point 1 is 10.0m, and the elevation of point 2 and 3 is 2.00m. The cross-sectional area at point 2 is 0.0680 m2, at point 3 it is 0.0360 m2. The area of the tank is very large compared to the cross-sectional area of the pipe. Assuming that Bernoulli’s equation applies,
compute:
(a) The discharge rate in cubic meters per second;
(b) The gauge pressure at point 2.
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