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Mechanical properties of fluid
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Gauge pressure due to a fluid column
=
hρg
Absolute pressure=
Pg
+
hρg
Work done in blowing a soap bubble by increasing its radius from r1 to r2, W=T(
Af−Ai
)=T(
8πr^2
)
If n drops, each of radius r, coalesce to form a single drop radius R
R^3=nr^3
Energy released absorbed = 4πT(nr^2-R^2)
For a cavity (gas bubble inside a liquid) p-p0 =
2T/R
For a soap bubble, p-p0 =
4T/R
h=
2TCos
(
θ
)/
ρgr
Density of seawater varies with
salinity
and
temperature.
TEMPERATURE
, T=To(1-αθ)
Re=
Vodρ/η
F/A
= η (dv/dy)
|f|=
6Πηrv0
Vt =
2/9
( r^
2
( ρ-ρ∘)
g/η
)
Equation of continuity, A1ρ1V1=
A2ρ2V2
Bernoulli's equation
, p + (1/2)ρv^2 + ρgy= constant
Venturimeter, v inlet =
√
{
2ρmgh
/ ρ [(
A1
/
A2
)^
2-1
] }
Velocity of efflux, v=
√
{
2
[(
p-p0
/
p
)+
gh
)]}
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