Question: Water at 40 °C (?=992.3???3 ??? ?=0.664×10−6 ?2/?) flows at velocity of 2 m/s through a pipe with a diameter of 20 mm and a friction factor of f = 0.004. The water enters the pipe at point A (Figure Q2, photo attached) into a bath shower mixer unit out of which, the water can exit through the spout via a gate valve or through the showerhead. If the water exits through the spout via a fully opened gate valve at B, with a diameter of 12 mm, determine the water pressure at point A. The minor loss coefficient is K_spout = 0.6 for the spout at B. Account for the minor loss in the elbow, the tee, and the gate valve. The gate valve at E is closed. If the water emerges through the showerhead (point C) that consists of 100 identical holes, each with a diameter of 1.5 mm. Determine the pressure of the water at A if the minor loss coefficient is K_showerhead = 0.45 for the showerhead. The gate valve at B is closed. Account for the minor loss in the three elbows, the fully opened gate valve at E, and the tee. Loss coefficients for K_L Gate valve – fully opened 0.19 90-degree elbow 0.9 45-degree bend 0.4 Tee for valve along branch 1.8 M_1= 0.730 M_2= 1.730 M_3= 0.715 I have been stuck on this question and do not understand how to calculate the loss due to the change in the diameter.
Part B:
Question:
Water at 40 °C (?=992.3???3 ??? ?=0.664×10−6 ?2/?) flows at velocity of 2 m/s through a pipe with a diameter of 20 mm and a friction factor of f = 0.004. The water enters the pipe at point A (Figure Q2, photo attached) into a bath shower mixer unit out of which, the water can exit through the spout via a gate valve or through the showerhead.
If the water exits through the spout via a fully opened gate valve at B, with a diameter of 12 mm, determine the water pressure at point A. The minor loss coefficient is K_spout = 0.6 for the spout at B. Account for the minor loss in the elbow, the tee, and the gate valve. The gate valve at E is closed.
If the water emerges through the showerhead (point C) that consists of 100 identical holes, each with a diameter of 1.5 mm. Determine the pressure of the water at A if the minor loss coefficient is K_showerhead = 0.45 for the showerhead. The gate valve at B is closed. Account for the minor loss in the three elbows, the fully opened gate valve at E, and the tee.
Loss coefficients for K_L
Gate valve – fully opened 0.19
90-degree elbow 0.9
45-degree bend 0.4
Tee for valve along branch 1.8
M_1= 0.730
M_2= 1.730
M_3= 0.715
I have been stuck on this question and do not understand how to calculate the loss due to the change in the diameter.
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