4.8 In addition to the customary horizontal velocity compo- nents of the air in the atmosphere (the "wind"), there often are vertical air currents (thermals) caused by buoyant effects due to uneven heating of the air as indicated in Fig. P4.8. Assume that the velocity field in a certain region is approximated by u = uo, v = vo(1y/h) for 0 < y h. De- termine the equation for the streamlines and plot the streamline that passes through the origin for values of u/vo= 0.5, 1, and 2.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4.8 In addition to the customary horizontal velocity compo-
nents of the air in the atmosphere (the "wind"), there often are
vertical air currents (thermals) caused by buoyant effects due to
uneven heating of the air as indicated in Fig. P4.8. Assume that
the velocity field in a certain region is approximated by u = uo,
v = vo(1y/h) for 0 < y <h, and u = uo, v = 0 for y> h. De-
termine the equation for the streamlines and plot the streamline
that passes through the origin for values of u/v = 0.5, 1, and 2.
ио
y
0
FIGURE P4.8
Ty=h
y = h
X
Transcribed Image Text:4.8 In addition to the customary horizontal velocity compo- nents of the air in the atmosphere (the "wind"), there often are vertical air currents (thermals) caused by buoyant effects due to uneven heating of the air as indicated in Fig. P4.8. Assume that the velocity field in a certain region is approximated by u = uo, v = vo(1y/h) for 0 < y <h, and u = uo, v = 0 for y> h. De- termine the equation for the streamlines and plot the streamline that passes through the origin for values of u/v = 0.5, 1, and 2. ио y 0 FIGURE P4.8 Ty=h y = h X
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