3.3. HYDRAULIC SIMILITUDE
71
Table 3.1: Similitude Ratios for Froude and Reynolds Similarity
Characteristic
Dimension
Froude
Reynolds
Geometric
Length
[L]
Nl
Nl
Area
[L2]
nl2
nl2
Volume
[L3]
nl3
Nl
Kinematic
Time
Pl
Nll2N'f/2N;,/2
NlN.N;1
Velocity
[ZT-1]
n' l/2n;',2n'/2
Acceleration
[LT-2]
NyN~^
N£3N~2N3
Discharge
[L3T-1]
N^N^Ny12
NlN^N,
Kinematic Viscosity
[L2T~l]
n3 lI2n;'/2n‘'2
N^N,
Dynamic
Mass
[M]
N3 LNf
NtN„
Force
[MLT~2]
N3 LNy
N~lN3
Mass Density
[ML"3]
NP
Specific Weight
[ml-2t~2] Ny
NE3N~lN3
Dynamic Viscosity
[ML-iT-1]
Nl/2Np,2Ny12
N,
Surface Tension
[MT'2]
N}N.,
N^N-'N3
Volume Elasticity
[ML’1?"2]
NLNy
N£2N-'N3
Pressure and Stress
[ML-^T-2]
NLNy
N^N-'N3
Momentum, Impulse
[MLT-1]
Nl/2Ni/2N2/2
NlN„
Energy, Work
[ML2T~2]
NÎN,
NlN-'N2
Power
[ML2T~3]
n]!2n;'I2nV2
N£'N-3N3