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Wing Sail / Kite Wind Assist

Rigid wing sails (bound to the ship) or towing kites (free-flying on a long tether) generate direct thrust from ambient wind. Different operating envelopes than Flettner rotors - wing sails like quartering winds, kites like downwind trades.

DesignWind assist
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Formula, assumptions, and limits

P=CL12ρairV2AVshipfusefulP = C_L \cdot \tfrac{1}{2} \rho_\text{air} V^2 A \cdot V_\text{ship} \cdot f_\text{useful}
SymbolMeaningUnit
PPTime-average thrust power contributed to the shipkW
CLC_LEffective lift coefficient - wing 1.0–1.4, kite 0.8 time-averaged
ρair\rho_\text{air}Air densitykg / m³
VVApparent wind speedm / s
AASail or kite projected area
VshipV_\text{ship}Ship speedm / s
fusefulf_\text{useful}Share of voyage hours with useful wind anglefraction

Source: Oceanbird Wallenius - wind-powered RoRo concept; SkySails Marine - towing kite systems; IMO Resolution MEPC.1/Circ.815 - innovative energy-efficient technologies

In short

Fuel saving from rigid wing sails or towing kites for merchant-ship wind assist.

Learn the theory Decarbonization Technologies for Ships