Geography Reference
In-Depth Information
Fig. 7.6
Propagation of a surface gravity wave in a water channel generated by a paddle at the left
end. Symbols as in Fig. 7.5.
integration of the hydrostatic equation. For the points A and B shown in Fig. 7.7
we find, respectively,
ρ
1
g
∂h
∂x
δx
+
δp
1
=
+
=
+
p
p
ρ
1
gδz
p
ρ
2
g
∂h
∂x
δx
p
+
δp
2
=
p
+
ρ
2
gδz
=
p
+
where ∂h/∂x is the slope of the interface. Taking the limit δx
→
0, we obtain the
pressure gradient in the lower layer
(p
+
δp
1
)
−
(p
+
δp
2
)
gδρ
∂h
∂x
lim
δx
=
δx
→
0
where δρ
=
ρ
1
−
ρ
2
.
Fig. 7.7
A two-layer fluid system.
