Two water reservoirs A and B are connected to each other through a 40-m-long, 2-cm-diameter cast iron pipe with a sharp-edged entrance. The pipe also involves a swing check valve and a fully open gate valve. The water level in both reservoirs is the same, but reservoir A is pressurized by compressed air while reservoir B is open to the atmosphere at 88 kPa. If the initial flow rate through the pipe is 1.2 L/s, determine the absolute air pressure on top of reservoir A. Take the water temperature to be 10°C.
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.
Two water reservoirs A and B are connected to each
other through a 40-m-long, 2-cm-diameter cast iron pipe
with a sharp-edged entrance. The pipe also involves a swing
check valve and a fully open gate valve. The water level in
both reservoirs is the same, but reservoir A is pressurized by
compressed air while reservoir B is open to the atmosphere
at 88 kPa. If the initial flow rate through the pipe is 1.2 L/s,
determine the absolute air pressure on top of reservoir A.
Take the water temperature to be 10°C.
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