Geoscience Reference
In-Depth Information
Fig. 2.
An ideal figure of model experiments of a periodic bubbling spring.
the position of the interface between gas and water in the flask goes down
under one of the lower entrance of the left pipe. There is a time lag between
the above two events. Concretely, a surface tension on an interface between
water and gas in the lower entrance of the left pipe supports against pres-
sure of gas in the flask for a while. So, we can write an equation of balance
of pressure as
P
0
+
ρgH
+
f
k
=
P,
(1)
where
P
0
represents pressure of the atmosphere,
ρ
represents density of
water,
g
represents gravity acceleration,
H
represents length of a lump of
water packed in the left pipe from the lower interface between water and
gas to the upper one,
f
k
represents pressure due to a surface tension on an
interface between water and gas in the lower entrance of the left pipe, and
P
represents pressure of gas in the flask.
And an equation of state of gas in the flask is written as
P
(
V
0
+
v
)=
nα,
(2)
where
V
0
represents volume of gas packed over the position of the lower
entrance of the left spouting pipe in the flask,
v
represents volume of gas
packed under the position of the lower entrance of the left spouting pipe
