382
Taking into account the pressure continuity (38), the hydrostatic pressure hypothesis
gIVes:
differentiating this expression,
Multiplying by 1/ P2 and integrating, we have
Therefore the term
gh2 \l [Pl hl + 172]
P2
is now obtained. In order to have a maximal monotonous operator, as in the first
equation, the latter expression is rewritten introducing the new unknown,
-
+ Pl h
1)2 = 172 - 1
P2
(42)
and the function:
(43)
Now, 172 and H2 do satisfy the relation 172 + H2 = h2' which allows to derive the equality:
This equation finally leads to the equation system for the second layer:
(44)
(45)
where:
fP is the vertically integrated velocity in the second layer;
Q2 = u 2 h2 is the water flux;