Geoscience Reference
In-Depth Information
the maximal value of this brief increase, as a fraction of the equilibrium flow, using the empirical
formula (5.33) in (6.36) or (6.37).
6.11
For a steady rainfall on a uniform, plane surface of length
L
, the average depth of the water on the
plane,
h
, is related to the depth at the outlet (
x
=
L
), as:
h
=
[(
a
+
1)
/
(
a
+
2)]
h
L
, where
a
is the power defined in (5.43). Show the validity of this relationship. Note: this relationship is the
basis for Equation (6.40) to develop the lumped, kinematic approach.
6.12
Multiple choice. Indicate which of the following statements are correct. The kinematic wave
method differs from the approach based on the complete (i.e. shallow water or St. Venant) equations,
because:
(a)
the equation of continuity is always replaced by the lumped storage equation;
(b)
the flow is assumed to be laminar;
(c)
it is assumed that there exists a single-valued (i.e. unique) relationship between rate of flow
and water depth;
(d)
gravity effects are assumed to be balanced completely by frictional effects;
(e)
it is only applicable if dynamic (i.e. acceleration of the fluid) effects are negligible.
