In the central heating design of a house, if the speed of pumping hot water to the ground floor is equal to 0.5 m / s in a tube of 4 cm diameter at a pressure equal to 3.03 * 10 ^ 5 Pa, what is the speed of hot water flow and pressure on the first floor if you know that the diameter of the pipe connecting the floor is 2.6 cm, and the height of the first floor is 5 meters?
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.
In the central heating design of a house, if the speed of pumping hot water to the ground floor is equal to 0.5 m / s in a tube of 4 cm diameter at a pressure equal to 3.03 * 10 ^ 5 Pa, what is the speed of hot water flow and pressure on the first floor if you know that the diameter of the pipe connecting the floor is 2.6 cm, and the height of the first floor is 5 meters?
Given data:
- The velocity of water is v1 = 0.5 m/s.
- The diameter of pipe is d1 = 4 cm.
- Pressure P1=3.03105 Pa.
- The diameter of pipe at the floor is d2 = 2.6 cm.
- The datum height is h2-h1 = 5 m.
Applying the continuity equation as,
Thus, the velocity at the floor is 1.183 m/s.
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