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
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![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]
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