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Wind Resistance

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Air-drag force on a ship’s transverse above-water area.

Formula

$$ R_\text{wind} = \tfrac{1}{2} \rho_\text{air} V_\text{rel}^2 A_T C_X $$

Symbol legend

SymbolMeaningUnitSource
$R_\text{wind}$Wind resistance forcekNresult
$\rho_\text{air}$Air density (ISA sea-level)kg / m³1.225 default
$V_\text{rel}$Relative wind speed (true wind vectorially added to ship speed)m / sanemometer / voyage plan
$A_T$Transverse above-water projected areaGA plan / OCIMF table
$C_X$Wind-drag coefficient - tanker 0.55, bulker 0.60, container laden 0.70, Ro-Pax 0.80+-Blendermann / OCIMF

For EEDI, the weather factor $f_w$ multiplies the expected wind + wave resistance in a standard reference sea (Beaufort 6, $H_{1/3} = 3.0$ m). Wind contribution scales with $V_\text{rel}^2$, so a 4 Bft vs 6 Bft sea more than doubles the air-drag term.

Sources

  • ITTC - Recommended Procedures 7.5-04-01-01.1 (wind resistance).
  • Blendermann - Parameter identification of wind loads on ships (1994).
  • OCIMF - Prediction of Wind and Current Loads on VLCCs.