Given: A looped piping network is designed as shown in Fig. 1 to move room temperature water. Characteristics: a) Each of the inlet flowrates, Q₁ and Q4, are known to be 12 gpm. The values of the outlet flowrates are: Q₂ = 5 gpm, Q3 = 6 gpm, and Q₁ = 7 gpm. b) The lengths of the vertical pipelines (between nodes) are 100 ft and contain two fully open rotary valves. The lengths of the horizontal pipelines are 50 ft. The lengths of the diagonal pipelines between nodes are 86.6 ft in and contain two fully open rotary valves. c) The pipes that make the pipelines were no longer than 20 ft in lengths, so include the appropriate number of joints. d) All other components contribute negligibly to losses. e) The pipelines are made from 3-inch Schedule 40 galvanized steel pipe. Qz Find: (i) Write the set of all nodal equations (ii) Write the set of all loop equations (iii) Determine the number of initially guessed flowrates. (iv) Write the algorithm for computation. (Write each equation how you chose to solve it in "Unknown = Known, Guessed, and Computed" format. (v) Write the correction factor equations. (vi) Write the set of correction equations. (vii) Complete one iteration of calculations by hand. (viii) Use MS Excel to create a spreadsheet to compute the flow rates in each of the pipelines, in units of [gpm]. (ix) Redraw the network and add each flow's rate and direction (for easy grading), in units of [gal/s]. Include the inlet and outlet flows. (x) Evaluate if there are any concerns with using unfiltered water and justify your answer. (xi) Check your work. Submit all work documents and files. Q4 Fig. 1. Description of the pipe network.
Given: A looped piping network is designed as shown in Fig. 1 to move room temperature water. Characteristics: a) Each of the inlet flowrates, Q₁ and Q4, are known to be 12 gpm. The values of the outlet flowrates are: Q₂ = 5 gpm, Q3 = 6 gpm, and Q₁ = 7 gpm. b) The lengths of the vertical pipelines (between nodes) are 100 ft and contain two fully open rotary valves. The lengths of the horizontal pipelines are 50 ft. The lengths of the diagonal pipelines between nodes are 86.6 ft in and contain two fully open rotary valves. c) The pipes that make the pipelines were no longer than 20 ft in lengths, so include the appropriate number of joints. d) All other components contribute negligibly to losses. e) The pipelines are made from 3-inch Schedule 40 galvanized steel pipe. Qz Find: (i) Write the set of all nodal equations (ii) Write the set of all loop equations (iii) Determine the number of initially guessed flowrates. (iv) Write the algorithm for computation. (Write each equation how you chose to solve it in "Unknown = Known, Guessed, and Computed" format. (v) Write the correction factor equations. (vi) Write the set of correction equations. (vii) Complete one iteration of calculations by hand. (viii) Use MS Excel to create a spreadsheet to compute the flow rates in each of the pipelines, in units of [gpm]. (ix) Redraw the network and add each flow's rate and direction (for easy grading), in units of [gal/s]. Include the inlet and outlet flows. (x) Evaluate if there are any concerns with using unfiltered water and justify your answer. (xi) Check your work. Submit all work documents and files. Q4 Fig. 1. Description of the pipe network.
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
Related questions
Question
![Given: A looped piping network is designed as shown in Fig. 1 to move
room temperature water.
Characteristics:
a) Each of the inlet flowrates, Q₁ and Q4, are known to be 12 gpm. The
values of the outlet flowrates are: Q₂ = 5 gpm, Q3 = 6 gpm, and
Q₁ = 7 gpm.
b) The lengths of the vertical pipelines (between nodes) are 100 ft and
contain two fully open rotary valves. The lengths of the horizontal
pipelines are 50 ft. The lengths of the diagonal pipelines between
nodes are 86.6 ft in and contain two fully open rotary valves.
c) The pipes that make the pipelines were no longer than 20 ft in
lengths, so include the appropriate number of joints.
d) All other components contribute negligibly to losses.
e) The pipelines are made from 3-inch Schedule 40 galvanized steel pipe.
Qz
Find:
(i)
Write the set of all nodal equations
(ii) Write the set of all loop equations
(iii) Determine the number of initially guessed flowrates.
(iv) Write the algorithm for computation. (Write each equation how you
chose to solve it in "Unknown = Known, Guessed, and Computed"
format.
(v) Write the correction factor equations.
(vi) Write the set of correction equations.
(vii) Complete one iteration of calculations by hand.
(viii) Use MS Excel to create a spreadsheet to compute the flow rates in
each of the pipelines, in units of [gpm].
(ix) Redraw the network and add each flow's rate and direction (for easy
grading), in units of [gal/s]. Include the inlet and outlet flows.
(x) Evaluate if there are any concerns with using unfiltered water and
justify your answer.
(xi) Check your work. Submit all work documents and files.
Q4
Fig. 1. Description of the pipe network.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28b0ac36-6822-46de-92c6-d944cd5e5d50%2Fe4e245af-f6b0-462c-b2aa-b2a94f6cc83e%2Fvcj60k_processed.png&w=3840&q=75)
Transcribed Image Text:Given: A looped piping network is designed as shown in Fig. 1 to move
room temperature water.
Characteristics:
a) Each of the inlet flowrates, Q₁ and Q4, are known to be 12 gpm. The
values of the outlet flowrates are: Q₂ = 5 gpm, Q3 = 6 gpm, and
Q₁ = 7 gpm.
b) The lengths of the vertical pipelines (between nodes) are 100 ft and
contain two fully open rotary valves. The lengths of the horizontal
pipelines are 50 ft. The lengths of the diagonal pipelines between
nodes are 86.6 ft in and contain two fully open rotary valves.
c) The pipes that make the pipelines were no longer than 20 ft in
lengths, so include the appropriate number of joints.
d) All other components contribute negligibly to losses.
e) The pipelines are made from 3-inch Schedule 40 galvanized steel pipe.
Qz
Find:
(i)
Write the set of all nodal equations
(ii) Write the set of all loop equations
(iii) Determine the number of initially guessed flowrates.
(iv) Write the algorithm for computation. (Write each equation how you
chose to solve it in "Unknown = Known, Guessed, and Computed"
format.
(v) Write the correction factor equations.
(vi) Write the set of correction equations.
(vii) Complete one iteration of calculations by hand.
(viii) Use MS Excel to create a spreadsheet to compute the flow rates in
each of the pipelines, in units of [gpm].
(ix) Redraw the network and add each flow's rate and direction (for easy
grading), in units of [gal/s]. Include the inlet and outlet flows.
(x) Evaluate if there are any concerns with using unfiltered water and
justify your answer.
(xi) Check your work. Submit all work documents and files.
Q4
Fig. 1. Description of the pipe network.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY