Research Article

Development of Debris Flow Impact Force Models Based on Flume Experiments for Design Criteria of Soil Erosion Control Dam

Table 3

Summary of the result of the comparison of velocity estimation models.

FormulaCoefficientRMSECVReference
Notation (unit)Value (mean ± standard error)

Newtonian laminar flowμ (kg·m−1·s−2)0.73 ± 0.031.320.50[5]
Dilatant flowξ (m−1/2·s−1)2044.80 ± 58.081.140.29[5, 18]
Newtonian turbulent flown (m−1/3·s)0.0221 ± 0.00060.620.26[5, 19]
Voellmy flowC1 (m−1/2·s−1)25.57 ± 0.460.560.18[16]
This studyCe (s−1)25.60 ± 0.310.370.12

The value of each coefficient is expressed as “mean ± standard error.” RMSE is the root mean square error and CV means the coefficient of variance.