Calculate wave resistance (Rw) (kN) from the Holtrop & Mennen method.

calcHMWaveMakingRes(
  lwl,
  breadth,
  Cp,
  Cwp,
  Cm,
  maxDisplacement,
  maxDraft,
  froudeNum,
  At,
  hb,
  Abt,
  seawaterDensity,
  forwardDraft,
  lcb = 0
)

Arguments

lwl

Waterline length (vector of numericals, m) (see calclwl)

breadth

Moulded breadth (vector of numericals, m)

Cp

Prismatic coefficient (vector of numericals, dimensionless) (see calcCp)

Cwp

Water plane area coefficient (vector of numericals, see calcCwp)

Cm

Midship section coefficient (vector of numericals, dimensionless) (see calcCm)

maxDisplacement

Maximum ship displacement (vector of numericals, m^3)

maxDraft

Maximum summer load line draft (vector of numericals, m)

froudeNum

Froude number (vector of numericals, dimensionless) (see calcFroudeNum)

At

Transom area (vector of numericals, m^2) (see calcAt)

hb

Center of bulb area above keel line (vector of numericals, m) (see calchb)

Abt

Traverse bulb area (vector of numericals, m^2) (see calcAbt)

seawaterDensity

Sea water density. Default = 1.025 (g/cm^3). Can supply either a vector of numericals, a single number, or rely on the default

forwardDraft

Forward draft (deviation from actual draft indicates trim) (vector of numericals, m)

lcb

Longitudinal position of center of buoyancy (vector of numericals, see calclcb)

Value

Rw (vector of numericals, kN)

Details

Note: This calculates resistance, not a coefficient.Therefore, it does not need to be multiplied by wetted surface area like the frictional resistance coefficient is.

Note: In "A Statistical Re-Analysis of Resistance and Propulsion Data" the authors re-analyze with the inclusion of Series 64 hull forms for a total of 334 models included in the analysis. Their original paper insufficiently modeled high speed craft with Froude number >= 0.55, thus the original wave making resistance equation is used for froudeNum < 0.55 and the new wave making resistance equation is used for froudeNum >= 0.55. The authors also include wave making resistance equations in the updated paper for Froude number < 0.55, but these require more computing power and they mention that they closely resemble the original equation. Therefore, the original equation is used for froudeNum < 0.55.

Extra Info:

c2: Accounts for the reduction of the wave resistance due to action of a bulbous bow

c5: Represents the influence of a transom stern on the wave resistance

i_E: The angle of the waterline at the bow in the degrees with reference to center plane but neglecting the local shape at the stem

References

Holtrop, J. and Mennen, G. G. J. 1982. "An approximate power prediction method." International Shipbuilding Progress 29.

Holtrop, J. and Mennen, G. G. J. 1984. "A Statistical Re-Analysis of Resistance and Propulsion Data'.

See also

Examples

calcHMWaveMakingRes(lwl=c(218.75,209.25), breadth=c(32.25,32.20), Cp=c(0.81,0.67), Cwp=c(0.91,0.84), Cm=c(0.99,0.98), maxDisplacement=c(80097,52382.04), maxDraft=c(13.57,11.49), froudeNum=c(0,0.25), At=c(22.2,18.5), hb=c(5.43,4.6), Abt=c(32.02,27.98), seawaterDensity=1.025, forwardDraft=c(13.57,11.49))
#> [1] 0.0000 402.0109