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EML3701 Lecture 05162022

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small radius small dimensions
surfacetension values given in table A 4
example
MN1m19
DP
bubble
r lx o s m
0 2.5 102 NIM
4,43851021
Dp
DP 100 Nim
inside liquid outside air
b droplet
Dp
Y
F 5 10 3 m
Dp
DP 100 Nim
water will rise up
phenomenon of capillary
capillary
ntactangle
en
I
ftp.contactangle
fg
water
multiplyby
um
t TDO
18
h of
SG
80 Fain
specificvalue
young'smodulus
Efp
force pulling it up
y.gg Iyqenwy
t
Db ht
Palu'dgravity 0.879x
densityof water
speedof
sound
ii
surface tension will find net
table A 1 A 2
incompressible
Psi I atm
for density of air
as you go higher in pressure
flow
continum breaks down
viscosity
effect of pressure
liquidsnotreallyaffected
µ by
given
tableAS Coppa
centi
table a b
k tr value finds speed of sound in gas
tableA 8
densitytoot
10
A
table
properties of air
C
KRT
flow characteristics
Funiteady
If flow is l D 2 D 3 F steady
example2
plop
Internal
x.y.zdbx.is
y z p unsteady
1211 D steady
1712 D unsteady
flow can beinternal orexternal
internal
external
low external
laminIturbulent
I
flow of
river
sensorflown
pm
laminar
Lagrangian eulerian approach
Kut
eulerian particular location
lagrangian particularpiece s of fluid
turbulentcontinues to
jumpup down
state of for e in a fluid at rest
i
tectanedron
9
1oz
x
Fy Oy dxdz On
Oy dxdz Ontax at
Oy Ontt dX dz
o
Oy On
Ox OnE dzdy
p
Oy On
d d dt
Fz Ozz dxdy Ondacosg p
g
surfaceforce
bodyforce
4 ona
normal shear stress
fluid has no control gravity
getforcemultiplybyarea A
cosyto
n.jpgtttonAcosd
acosy
x
ioncogtfin.Yjncacoso
OBV
X YZ
d
cos cosB cos y
dacosd
dacos B
f dzdy
I ax at
961in'd
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