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Admiralty Coefficient Ship Propulsion Power Calculator

The Admiralty coefficient is the premier empirical preliminary design method for estimating ship propulsion power.

Vessel total loaded displacement mass.

Design operational cruising speed.

Empirical constant (typically 450 - 650 for modern commercial hulls).

Calculated Result
9122 kW (12233 HP)

Estimated Propulsion Power

Displacement Factor (Δ^(2/3))

965.5

Speed Cubed (V³)

4,913

Admiralty Coefficient

520

Calculation Breakdown

  1. Admiralty FormulaP = (Δ^(2/3) · V³) / C_adm = (30000^(2/3) · 17³) / 520 = 9122 kW
  2. Horsepower EquivalentP_hp = 9122 kW · 1.341 = 12233 HP

What Is the Admiralty Coefficient Ship Propulsion Power Calculator?

The Admiralty coefficient is an empirical formula widely used in early ship design to estimate required engine power.

How Does the Admiralty Coefficient Ship Propulsion Power Calculator Work?

Models frictional drag proportional to wetted area (Delta^(2/3)) and power proportional to speed cubed (V^3).

Admiralty Coefficient Ship Propulsion Power Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

P = rac{Delta^{2/3} V^3}{C_{ ext{adm}}} quad [ ext{kW}], quad P_{ ext{hp}} = P imes 1.341

Admiralty formula for preliminary propulsion power sizing in displacement vessels.

How to Use the Admiralty Coefficient Ship Propulsion Power Calculator

  1. Input vessel displacement in metric tonnes, desired cruising speed in knots, and Admiralty coefficient.

Step-by-Step Example Calculation

Handysize Bulk Carrier Powering

Input Values:

displacementTonnes:30000
serviceSpeedKnots:17
admiraltyCoefficient:520
Worked Steps: Requires 9,114 kW (12,222 HP) of continuous shaft propulsion power.

Understanding Your Result

Provides required continuous rated shaft engine power in both kilowatts (kW) and brake horsepower (HP).

Factors That Affect the Result

  • Higher speeds cause wave resistance to grow faster than V^3, reducing the effective Admiralty coefficient.

When Should You Use This Calculator?

  • Preliminary main engine selection, ship concept trade-off studies, and fleet speed-fuel consumption benchmarking.

Assumptions & Limitations

  • Valid for displacement vessels operating at moderate Froude numbers (Fn < 0.35).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard preliminary naval architecture design estimation method.

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