When a gravity-driven liquid jet issues from a slot in a tank, as in Fig., an approximation for the exit velocity distribution is u = /2g(h - z), where h is the depth of the jet centerline. Near the slot, the jet is horizontal, two-dimensional, and of thickness 2L, as shown. Find a +L general expression for the total volume flow Q issuing from the slot; then take the limit of your result if L << h. 2=-L

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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When a gravity-driven liquid jet
issues from a slot in a tank, as in Fig.,
an approximation for the exit velocity
distribution is u = 2g(h - z), where h is
the depth of the jet centerline. Near the
slot, the jet is horizontal, two-dimensional,
and of thickness 2L, as shown. Find a
+L
general expression for the total volume
flow Q issuing from the slot; then take the
limit of your result if L << h.
2=-L
Transcribed Image Text:When a gravity-driven liquid jet issues from a slot in a tank, as in Fig., an approximation for the exit velocity distribution is u = 2g(h - z), where h is the depth of the jet centerline. Near the slot, the jet is horizontal, two-dimensional, and of thickness 2L, as shown. Find a +L general expression for the total volume flow Q issuing from the slot; then take the limit of your result if L << h. 2=-L
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