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sci.morison-wave-force-cylinder Calculator
Calculates hydrodynamic force on a cylindrical structure from Morison's equation: F = Cm×ρ×V×a + Cd×½ρ×A×v|v|. Morison's equation separates inertia and drag components — inertia dominates for small D/λ (slender cylinders); drag dominates for large D/λ (bluff bodies).
Inputs
D M
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
Rho Kg M3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
H M
Vertical measurement. For health calculators, typically standing height without shoes.
T S
Time for one complete cycle (s). Period = 1 / frequency. A 50 Hz signal has a 20 ms period.
Reference formula or conversion factor shown for context.
Results
maximum wave force F_max (N/m)
The largest value in the dataset or feasible range.
drag force component F_D (N/m)
Air resistance opposing motion. Drag = ½ρv²CdA. Scales with the SQUARE of velocity — doubling speed quadruples drag. Critical for vehicle fuel efficiency and structural wind loading.
inertia force component F_I (N/m)
Sample size or count used in the calculation.
Morison et al. 1950: F = 0.5ρCdD|u|u + ρCmA·u̇
Sample size or count used in the calculation.
particle velocity u_max
Reference formula or conversion factor shown for context.