whether the function o represents the velocity potential %3D x2+y2 lar incompressible 2D flow, and if so, what should be the
whether the function o represents the velocity potential %3D x2+y2 lar incompressible 2D flow, and if so, what should be the
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
![CX
a) Investigate whether the function o
represents the velocity potential
x²+y2
of a particular incompressible 2D flow, and if so, what should be the
dimension of constant C which has value of 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F106acba9-2256-4bff-8614-06424e60e0e6%2Fcc1c0460-4eb0-438e-a3a2-77e4a666ccc0%2Fcu16ec_processed.png&w=3840&q=75)
Transcribed Image Text:CX
a) Investigate whether the function o
represents the velocity potential
x²+y2
of a particular incompressible 2D flow, and if so, what should be the
dimension of constant C which has value of 2.
![b) Obtain expressions for the x and y components of the velocity in this flow.
Show that, at the point where the streamlines intersect the y-axis, thev are
parallel to the x-axis.
c) Show that the equation for the equipotential line for which the potential
function has a numerical value of ½ is a circle. Determine the radius and
coordinates of the centre of this circle and make an accurate labelled sketch
showing the equipotential.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F106acba9-2256-4bff-8614-06424e60e0e6%2Fcc1c0460-4eb0-438e-a3a2-77e4a666ccc0%2Fulumjn_processed.png&w=3840&q=75)
Transcribed Image Text:b) Obtain expressions for the x and y components of the velocity in this flow.
Show that, at the point where the streamlines intersect the y-axis, thev are
parallel to the x-axis.
c) Show that the equation for the equipotential line for which the potential
function has a numerical value of ½ is a circle. Determine the radius and
coordinates of the centre of this circle and make an accurate labelled sketch
showing the equipotential.
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