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.
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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.
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.
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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