(a) In a variety of environmental problems, it is common to find fluid motions that have a cellular character; i.e. the fluid streamlines form closed loops in the form of a cell. An example of a 2D cellular flow is ū = sin(rx) cos(ry)î – cos(rx) sin(7y)I (i) Is this flow incompressible? (Justify you answer.) (ii) Calculate the vorticity. (iii) Where is the magnitude of the vorticity highest, and where does it yanish?
(a) In a variety of environmental problems, it is common to find fluid motions that have a cellular character; i.e. the fluid streamlines form closed loops in the form of a cell. An example of a 2D cellular flow is ū = sin(rx) cos(ry)î – cos(rx) sin(7y)I (i) Is this flow incompressible? (Justify you answer.) (ii) Calculate the vorticity. (iii) Where is the magnitude of the vorticity highest, and where does it yanish?
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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![(a) In a variety of environmental problems, it is common to find fluid motions
that have a cellular character; i.e. the fluid streamlines form closed loops in
the form of a cell. An example of a 2D cellular flow is
ū = sin(rx) cos(ry)î – cos(rx) sin(ry)j
(i) Is this flow incompressible? (Justify you answer.)
(ii) Calculate the vorticity.
(iii) Where is the magnitude of the vorticity highest, and where does it
vanish?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe57d1e23-a191-4d5b-9d92-bc42e0e35643%2F3ca00970-5351-401f-9151-85d51ea41507%2Fsqw2hub_processed.png&w=3840&q=75)
Transcribed Image Text:(a) In a variety of environmental problems, it is common to find fluid motions
that have a cellular character; i.e. the fluid streamlines form closed loops in
the form of a cell. An example of a 2D cellular flow is
ū = sin(rx) cos(ry)î – cos(rx) sin(ry)j
(i) Is this flow incompressible? (Justify you answer.)
(ii) Calculate the vorticity.
(iii) Where is the magnitude of the vorticity highest, and where does it
vanish?
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