Hollenbach Resistance

Hollenbach's 1998 regression updated Holtrop-Mennen with modern hull data. Gives tighter predictions for single-screw and twin-screw ships, especially at Cb > 0.70. Common first pass for containerships and ro-pax where Holtrop drifts.

DesignResistance

Hull particulars

Length overall LoamWaterline lengthmBeam BwlmDraft TmBlock coefficient Cb–Configuration

Condition

Service speedkn

Froude Fn: 0.163–

Residual resistance coefficient Cr: 0.000723–

Total resistance coefficient CT: 0.002217–

Total resistance RT: 470.4kN

Effective power PE: 3,388kW

Changing the inputs requires JavaScript. The calculator above shows its default inputs and result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

C_R = a_1 + a_2 F_n + a_3 F_n^2 + a_4 C_B + a_5 \left(\tfrac{L}{B}\right) + a_6 \left(\tfrac{B}{T}\right) + \ldots

Symbol	Meaning	Unit
$C_R$	Residual-resistance coefficient
$a_1..a_k$	Regression coefficients (full table 20+)
$F_n$	Froude number
$C_B$	Block coefficient
$L$	Waterline length	m
$B$	Beam	m
$T$	Draft	m
$C_F$	ITTC-57 friction coefficient
$S$	Wetted surface area	m²
$\rho$	Sea-water density	kg / m³
$V$	Ship speed	m / s
$R_T$	Total resistance	kN
$P_E$	Effective power	kW

Source: Hollenbach - *Estimating resistance and propulsion for single- and twin-screw ships* (STG, 1998); Molland, Turnock & Hudson - *Ship Resistance and Propulsion*

In short

Hollenbach 1998 resistance regression - residual and total resistance coefficients for single- and twin-screw ships, plus effective power.

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