3502 Review
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3502 ReviewWater Flows from left to right through the restriction.Given the geometric measures of height h and diameter DWrite down all the equations that can be used to find the pressureand velocities at the points indicated
z
air
water
h4
1
2
3
4
h2
h3
D1
D4
4
2
1
4421
434
23
212
24
44
211
VD
DVQQ
)hh(3pp
pp
hpp
g2
Vh
p
g2
Vp
If we set p4 = vapor pressure(incipient cavitation condition)We can SOLVE
If plate is rectangle, Area = length x breath, A = l x b. I = (b x l3) /12
p0
p0
AhF c
Balancing force on Gate is
Forces on Gates
hc
--hc depth to centroid
Point of application—slant distance to free-surface
Asin
hI
yyc
ccp
Dimension into page
If plate is ellipse, Area = a x b, I = (b x a3) /4 Fig A1
yc Slant distance to centroid
yc
p0
p0
AhF *c
Forces on Gates—Subtleties
hwater
Asin
h
Iyy
*c
ccp
Oil S < 1
Use SAME Formulas But use Modified height
Other Fluid Layer of uniform thickness hoil
oilWater* Shhh
hwater
Pressurized Gas Chamber
och pp
Gate connected to a pressurized gas chamber
)pp(hh 0chWater*
Use SAME Formulas But use Modified height
Ce 3502 In class mid sem. quiz, Oct 11, 2007: Open Book/Note Answer on Exam sheetName:
Voller 1