I need help with this question: Q. A sprinkler system pumps water through a large pipe inlet with a diameter (d1). The then breaks into N narrow Pipes (which have a diameter, d2, and a length, L2), before the water is released to the atmosphere, as shown in the figure. The entrance to the small pipe from the large pipe has a loss coefficient of KL. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are neglible. (The viscosity is NOT negligible) a) Find an expressin for the velocity of water leaving the sprinkler b) Find an Expression for the gauge pressure at point A, a distance L1 upstream of the narrow pipes. Express your answer in terms of the flowrate, Q. c) The inner diameter of the first segment of the pipe is d1 = 10mm, the inner diameter of the second set of pipes is d2 = 1mm, with N = 25. The flowrate through the sprinkler is Q = 0.2 L/s. Flow in pipes typically becomes turbulent when the Reynolds number exceeds 2000. Comment on the accuracy of our assumption that the flow could be treated as laminar everywhere. (You may assume water has a density of 1000kg/m3 and a viscosity of 1 mPas).
I need help with this question:
Q. A sprinkler system pumps water through a large pipe inlet with a diameter (d1). The then breaks into N narrow Pipes (which have a diameter, d2, and a length, L2), before the water is released to the atmosphere, as shown in the figure. The entrance to the small pipe from the large pipe has a loss coefficient of KL. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are neglible.
(The viscosity is NOT negligible)
a) Find an expressin for the velocity of water leaving the sprinkler
b) Find an Expression for the gauge pressure at point A, a distance L1 upstream of the narrow pipes. Express your answer in terms of the flowrate, Q.
c) The inner diameter of the first segment of the pipe is d1 = 10mm, the inner diameter of the second set of pipes is d2 = 1mm, with N = 25. The flowrate through the sprinkler is Q = 0.2 L/s. Flow in pipes typically becomes turbulent when the Reynolds number exceeds 2000. Comment on the accuracy of our assumption that the flow could be treated as laminar everywhere. (You may assume water has a density of 1000kg/m3 and a viscosity of 1 mPas).
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