A sprinkler system pumps water through a large pipe inlet with a diameter (di). The pipe then breaks into N narrow pipes (which have a diameter, o, and a length, L2), before the water is released to the atmosphere, as shown in figure Q4. The entrance to the small pipe from the large pipe has a loss coefficient of K. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are negligible. The viscosity is not negligible. a) Find an expression for the velocity of water leaving the sprinkler. b) Find an expression for the gauge pressure at point A, a distance Lt upstream of the narrow pipes. Express your answer in terms of the flowrate, Q.
A sprinkler system pumps water through a large pipe inlet with a diameter (di). The pipe then breaks into N narrow pipes (which have a diameter, o, and a length, L2), before the water is released to the atmosphere, as shown in figure Q4. The entrance to the small pipe from the large pipe has a loss coefficient of K. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are negligible. The viscosity is not negligible. a) Find an expression for the velocity of water leaving the sprinkler. b) Find an expression for the gauge pressure at point A, a distance Lt upstream of the narrow pipes. Express your answer in terms of the flowrate, Q.
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
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A sprinkler system pumps water through a large pipe inlet with a diameter (di). The pipe
then breaks into N narrow pipes (which have a diameter, o, and a length, L2), before the
water is released to the atmosphere, as shown in figure Q4. The entrance to the small
pipe from the large pipe has a loss coefficient of K. You may assume the flow is laminar
and fully developed everywhere in the system, and that any changes in height are
negligible.
The viscosity is not negligible.
a) Find an expression for the velocity of water leaving the sprinkler.
b) Find an expression for the gauge pressure at point A, a distance Lt upstream of the
narrow pipes. Express your answer in terms of the flowrate, Q.
Transcribed Image Text:Q
A
Figure Q4: Flow in a sprinkler head.
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