6.4. SUSPENSION-DOMINATED MODELS
283
horizontal scale (W%), the vertical scale (Nz), and the sediment diameter
scale (Nd) when the model sediment has the same density as the prototype:
Nd = (JVZ)° 55
Nx = (JV2)' 32
(6.77)
(6.78)
The model law given by Eqns. 6.77 and 6.78 requires that the model
profile have a distortion (defined as Q = Nx/Nz) of
a = (Nz)032
(6.79)
The hydrodynamics were scaled according to geometrically undistorted
Froude scaling based on the vertical length scale. Therefore, it is important to note that Noda’s distortion applies only to the beach profile and
not to the waves.
Noda (1971, 1972) then conducted a large number of small-scale experiments using a variety of model sediments having different densities and
grain sizes. He ended up with 130 equilibrium profiles developed from 14
different materials and 22 different grain sizes. By comparing the resulting model profiles to the prototype-scale data, he was able to generalize
his surf zone scale relations by including the sediment immersed relative
density scale, defined as
(6.80)
The generalized scale relationships given in Noda (1971) are
Nd (Npl)' 46 = (Nz)° ™
(6.81)
Nx = (NzŸ 32 (Np>)~° 35
(6.82)
which reduce to Eqns.6.77 and 6.78, respectively, if Np‘ = 1.
When the work reported in Noda (1971) was summarized in ajournai
article (Noda 1972), the same equations appeared except the exponents of
the immersed relative density scale were changed as shown below.
7Vd (A^)1'85 = (JVZ)0'55
(6.83)
Nx =(NZ)132 (AT/)-0386
(6-84)
These equations also reduce to Eqns.6.77 and 6.78, respectively, if Np> = 1.
Noda (1972) did not state why the equations had been altered from
Noda (1971), but he failed to include a reference to Noda (1971) in the
283
horizontal scale (W%), the vertical scale (Nz), and the sediment diameter
scale (Nd) when the model sediment has the same density as the prototype:
Nd = (JVZ)° 55
Nx = (JV2)' 32
(6.77)
(6.78)
The model law given by Eqns. 6.77 and 6.78 requires that the model
profile have a distortion (defined as Q = Nx/Nz) of
a = (Nz)032
(6.79)
The hydrodynamics were scaled according to geometrically undistorted
Froude scaling based on the vertical length scale. Therefore, it is important to note that Noda’s distortion applies only to the beach profile and
not to the waves.
Noda (1971, 1972) then conducted a large number of small-scale experiments using a variety of model sediments having different densities and
grain sizes. He ended up with 130 equilibrium profiles developed from 14
different materials and 22 different grain sizes. By comparing the resulting model profiles to the prototype-scale data, he was able to generalize
his surf zone scale relations by including the sediment immersed relative
density scale, defined as
(6.80)
The generalized scale relationships given in Noda (1971) are
Nd (Npl)' 46 = (Nz)° ™
(6.81)
Nx = (NzŸ 32 (Np>)~° 35
(6.82)
which reduce to Eqns.6.77 and 6.78, respectively, if Np‘ = 1.
When the work reported in Noda (1971) was summarized in ajournai
article (Noda 1972), the same equations appeared except the exponents of
the immersed relative density scale were changed as shown below.
7Vd (A^)1'85 = (JVZ)0'55
(6.83)
Nx =(NZ)132 (AT/)-0386
(6-84)
These equations also reduce to Eqns.6.77 and 6.78, respectively, if Np> = 1.
Noda (1972) did not state why the equations had been altered from
Noda (1971), but he failed to include a reference to Noda (1971) in the