The velocity profile in a circular pipe of radius R = 10 cm is given by: U(r) = Umax [1- ()] where Umax = 20 ms¹ and r is the radial coordinate, with r = 0 representing the center axis of the pipe. The working fluid is ethanol (= 0.001 095 Pas, p = 789 kg m-³. Determine the following: (a) The volume flow rate. [0.489 m³ s-¹] (b) The mass flow rate. [386 kg s-¹] (c) The average velocity. [15.6 m s-¹] (d) The shear stress at the wall of the pipe, if: du dr τ(r) = μ- [-0.0767 Pa] (e) The dynamic pressure in the pipe, calculated using the average velocity. [96 006 Pa]
The velocity profile in a circular pipe of radius R = 10 cm is given by: U(r) = Umax [1- ()] where Umax = 20 ms¹ and r is the radial coordinate, with r = 0 representing the center axis of the pipe. The working fluid is ethanol (= 0.001 095 Pas, p = 789 kg m-³. Determine the following: (a) The volume flow rate. [0.489 m³ s-¹] (b) The mass flow rate. [386 kg s-¹] (c) The average velocity. [15.6 m s-¹] (d) The shear stress at the wall of the pipe, if: du dr τ(r) = μ- [-0.0767 Pa] (e) The dynamic pressure in the pipe, calculated using the average velocity. [96 006 Pa]
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
![The velocity profile in a circular pipe of radius R = 10 cm is given by:
[¹-6]
U (r) = Umax
where Umax = 20 m s-¹ and r is the radial coordinate, with r = 0 representing the center axis of the pipe. The working
fluid is ethanol (μ = 0.001 095 Pas, p = 789 kg m-³.
Determine the following:
(a) The volume flow rate. [0.489 m³s¯¹]
(b) The mass flow rate. [386 kg s-¹]
(c) The average velocity. [15.6 m s-¹]
(d) The shear stress at the wall of the pipe, if:
du
t(r) = μ¹ dr
[-0.0767 Pa]
(e) The dynamic pressure in the pipe, calculated using the average velocity. [96 006 Pa]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09f7f533-d4af-4401-a50a-ccb3ef26e16d%2Fc88909a4-e599-4988-b553-b8e19cafcd1a%2F15tccwh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The velocity profile in a circular pipe of radius R = 10 cm is given by:
[¹-6]
U (r) = Umax
where Umax = 20 m s-¹ and r is the radial coordinate, with r = 0 representing the center axis of the pipe. The working
fluid is ethanol (μ = 0.001 095 Pas, p = 789 kg m-³.
Determine the following:
(a) The volume flow rate. [0.489 m³s¯¹]
(b) The mass flow rate. [386 kg s-¹]
(c) The average velocity. [15.6 m s-¹]
(d) The shear stress at the wall of the pipe, if:
du
t(r) = μ¹ dr
[-0.0767 Pa]
(e) The dynamic pressure in the pipe, calculated using the average velocity. [96 006 Pa]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images
Knowledge Booster
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.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