Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
In the Austrian Alps, a restaurant rather high in the mountains gets its water from a very wide reservoir several hundred meters lower, the difference in elevation between restaurant and reservoir being denoted by H. The water is pumped upwards by a pump next to the reservoir. Under steady-state conditions, the volumetric flow rate through the pressure line is denoted by ø, while øw denotes the pumping power to realise this øy. With such a long pipeline, energy dissipation by friction in the line can't be ignored. Energy dissipation in the pump is substantial but can be left out of consideration for now. Heat exchange with the surroundings may be ignored as well. Water density may be taken as

In the Austrian Alps, a restaurant rather high in the mountains gets its water from a very wide reservoir several hundred meters lower, the difference in elevation between restaurant and reservoir being denoted by H. The water is pumped upwards by a pump next to the reservoir. Under steady-state conditions, the volumetric flow rate through the pressure line is denoted by ø, while øw denotes the pumping power to realise this øy. With such a long pipeline, energy dissipation by friction in the line can't be ignored. Energy dissipation in the pump is substantial but can be left out of consideration for now. Heat exchange with the surroundings may be ignored as well. Water density may be taken as

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
See similar textbooks
icon
Related questions
Question
QUESTION 3 In the Austrian Alps, a restaurant rather high in the mountains gets its water from a very wide reservoir several hundred meters lower, the difference in elevation between restaurant and reservoir being denoted by H. The water is pumped upwards by a pump next to the reservoir. Under steady-state conditions, the volumetric flow rate through the pressure line is denoted by ø, while øw denotes the pumping power to realise this Øy. With such a long pipeline, energy dissipation by friction in the line can't be ignored. Energy dissipation in the pump is substantial but can be left out of consideration for now. Heat exchange with the surroundings may be ignored as well. Water density may be taken as being constant. Questions: a) Draw up a mechanical energy balance between point 1 at the surface of the reservoir and point 2 right after the pump to find an expression for the pressure at point 2. b) Draw up a mechanical energy balance between point 2 right after the pump and point 3 at the exit in the restaurant to find an expression for the pressure drop between points 2 and 3. c) Draw up a mechanical energy balance between point 1 at the surface of the reservoir and point 3 at the open delivery tap in the restaurant to find an expression for the pumping power required to maintain a flow rate øy .
Transcribed Image Text:QUESTION 3 In the Austrian Alps, a restaurant rather high in the mountains gets its water from a very wide reservoir several hundred meters lower, the difference in elevation between restaurant and reservoir being denoted by H. The water is pumped upwards by a pump next to the reservoir. Under steady-state conditions, the volumetric flow rate through the pressure line is denoted by ø, while øw denotes the pumping power to realise this Øy. With such a long pipeline, energy dissipation by friction in the line can't be ignored. Energy dissipation in the pump is substantial but can be left out of consideration for now. Heat exchange with the surroundings may be ignored as well. Water density may be taken as being constant. Questions: a) Draw up a mechanical energy balance between point 1 at the surface of the reservoir and point 2 right after the pump to find an expression for the pressure at point 2. b) Draw up a mechanical energy balance between point 2 right after the pump and point 3 at the exit in the restaurant to find an expression for the pressure drop between points 2 and 3. c) Draw up a mechanical energy balance between point 1 at the surface of the reservoir and point 3 at the open delivery tap in the restaurant to find an expression for the pumping power required to maintain a flow rate øy .
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Applied Fluid Mechanics
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
  • SEE MORE 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
SEE MORE TEXTBOOKS