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A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened.

A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened. d) Using your answer to part c), calculate the rate of discharge in kg/s when the valve automatically opens. e) Using your answer to part c), estimate Reynold's number. Is the flow laminar or turbulent? Pam = 101 kPa g = 9.81 m/s2 H= 2m p = 998kg/m3 H = 1×10-s Pa s Water Tank |Tube (Smooth) h = 3m d = 5cm Valve 1= 4m
Transcribed Image Text:A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened. d) Using your answer to part c), calculate the rate of discharge in kg/s when the valve automatically opens. e) Using your answer to part c), estimate Reynold's number. Is the flow laminar or turbulent? Pam = 101 kPa g = 9.81 m/s2 H= 2m p = 998kg/m3 H = 1×10-s Pa s Water Tank |Tube (Smooth) h = 3m d = 5cm Valve 1= 4m
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