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 neight of 2m. The valve rests on the ground 3m beneath the tank's base. The putlet of the valve is open to atmosphere. a) Calculate the pressure at the bottom of the tank when the valve automatically ppens. b) Calculate the pressure at the valve when it automatically opens. -) 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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Topic Video
Question
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.
a) Calculate the pressure at the bottom of the tank when the valve automatically
opens.
b) Calculate the pressure at the valve when it automatically opens.
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?
f) No longer assuming inviscid flow, calculate the velocity of the water flowing
through the tube at the moment when the valve is opened. If your solution
method requires iteration, you only need to perform one iteration.
Patm = 101 kPa
g = 9.81m/s2
H= 2m
p = 998kg/m3
u = 1x10-3 Pas
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. a) Calculate the pressure at the bottom of the tank when the valve automatically opens. b) Calculate the pressure at the valve when it automatically opens. 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? f) No longer assuming inviscid flow, calculate the velocity of the water flowing through the tube at the moment when the valve is opened. If your solution method requires iteration, you only need to perform one iteration. Patm = 101 kPa g = 9.81m/s2 H= 2m p = 998kg/m3 u = 1x10-3 Pas Water Tank Tube (Smooth) h = 3m d = 5cm Valve 1= 4m
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Fluid Statics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY