The fluid flow in the region above the two planes: y = x and y = -x can be approximated by the velocity field: V(x,y,z, t) = -Voko -VoLo y x² +y2 x2 + y2 where V.=0.004 [m/s] and Lo= 1.0 [m] a) Make a sketch of the region in which the fluid flows for 0

Elements Of Electromagnetics
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The fluid flow in the region above the two planes: y = x and y = -x can be
approximated by the velocity field:
V(x,y,z,t) = -V,ko +yz-
y
çî-VoLo
x² +y2
x2 + y2
where V=0.004 [m/s] and Lo =1.0 [m]
a) Make a sketch of the region in which the fluid flows for 0<y<1.0 [m]
b) Estimate the fluid velocity at the points (0.8 [m], 1.0 [m], 0 [m]), (0.4 [m],
0.5 [m], 0 [m]), and (0.2 [m], 0.25 [m], 0 [m]). Plot the three velocity
vectors on your sketch;
c) Plot the streamline that goes through the point (0.8 [m], 1.0 [m]); and
d) Plot more streamlines in the flow region (0 < y < 1.0 [m]) to show the
complete flow field picture.
Transcribed Image Text:The fluid flow in the region above the two planes: y = x and y = -x can be approximated by the velocity field: V(x,y,z,t) = -V,ko +yz- y çî-VoLo x² +y2 x2 + y2 where V=0.004 [m/s] and Lo =1.0 [m] a) Make a sketch of the region in which the fluid flows for 0<y<1.0 [m] b) Estimate the fluid velocity at the points (0.8 [m], 1.0 [m], 0 [m]), (0.4 [m], 0.5 [m], 0 [m]), and (0.2 [m], 0.25 [m], 0 [m]). Plot the three velocity vectors on your sketch; c) Plot the streamline that goes through the point (0.8 [m], 1.0 [m]); and d) Plot more streamlines in the flow region (0 < y < 1.0 [m]) to show the complete flow field picture.
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