3.Water is flowing in a pipe that has varying cross-sectional area throughout, and at all points the pipe is completely filled with water. At one point the cross-sectional area of the pipe is 0.07 m^2, and the velocity of the fluid is 3.50 m/s. What is the fluid velocity in the pipe where the cross sectional area is instead (a) 0.105 m^2 and (b) 0.067 m^2. (c) also calculate the volume discharged from the end of the pipe in one hour (Hint: Use volume flow rate eq. V/t=A*v and solve for V)
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.
Continuity equation is the basically conservation of mass for fluid moving in the pipe.
Density x Area x velocity = Constant
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