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Unformatted text preview: 4. (Siphon —- 25 pts) A plastic tube of d=50 mm diameter is used to siphon water from a large tank, as shown in the ﬁgure
below If the outside pressure of the tube is Ap=25 kPa greater than the pressure within the mbe, the tube will collapse and
the siphon will stop. Assume viscous eﬁects are negligible. Atmospheric pressure Pm = 101 .35kPa. a) What is the pressure at point A, which is not under the inﬂuence of the siphon? “Fr-hm fa, We 1'3 :4“
Paths/1+ Pﬁze= P4- lg; @3195 ANS: PA = 1)) Where in the tube is the pressure the least and what is this minimum pressure so that the siphon will not stop working due
to the collaslning of the lube ‘? (Note: the elevation of point C, if , (lees not change.) 714 rm‘mmM/me .256th Is ai'C ANS. Point at least pressure ; Pressure at this point = PROBLEM #4 CONTINUES OH THE NEXT PAGE c) Determine the minimum value of h allowed Without the siphon Stopping. 5% Wm fath Gib
133+ V +zc =‘fQ+%V-r 21> In: ELLE;
‘09 ‘03 T ‘08 I1 1 M69! _____I W. Peg >-AP
—-* M, h QE- 2 —25.IJO
ANS.h= W > 103+ ‘3 = Qv-oX‘I-si) d) For this value of 11, what is the vohme ﬂow rate Q within the siphon? ANS.Q= WWW W753“ Jacin 0) +071). 1.
I a +
AN. V -.-.
HﬂV:J2(4-W)(4-g4q \/=: 5.23M/S cog/A s (2.23) 7%” ._—‘7___ ...
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- Spring '09