Froude Speed Scaling - Model to Ship
Corresponding ship speed for a given model speed at Froude similarity - V_s = V_m · √(L_s/L_m).
Scale factor λ
30.0 -
Ship speed
6.57m/s
Ship speed
12.78kn
Formula, assumptions, and limits
Froude similarity matches gravity-wave physics. Reynolds-number (viscous) scaling uses skin-friction correction via ITTC 1957 friction line. Ship delivered power = model power × λ^(7/2) for residuary.
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Model velocity | m/s | towing tank | |
| Model LWL | m | model geometry | |
| Ship LWL | m | hydrostatics |