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Marine Propeller Advance Ratio & Thrust Coefficient Calculator

The advance ratio J is the dimensionless velocity parameter characterizing ship propeller operating conditions.

Effective water speed reaching propeller face.

Propeller shaft rotational speed.

Screw tip diameter.

Forward axial thrust generated by blades.

Calculated Result
0.862

Advance Ratio (J)

Thrust Coefficient (K_T)

0.2127

Thrust Power Output

1584.5 kW

Speed of Advance

7.20 m/s

Calculation Breakdown

  1. Advance Ratio JJ = V_a / (n · D) = 7.20 / (2.2 · 3.8) = 0.862
  2. Thrust Coefficient K_TK_T = T / (ρ · n² · D⁴) = 220000 / (1025 · 2.2² · 3.8⁴) = 0.2127

What Is the Marine Propeller Advance Ratio & Thrust Coefficient Calculator?

The advance ratio J is the dimensionless distance a propeller moves forward per revolution relative to its diameter.

How Does the Marine Propeller Advance Ratio & Thrust Coefficient Calculator Work?

Combines speed of advance Va with rotational speed n and diameter D to index open-water propeller charts.

Marine Propeller Advance Ratio & Thrust Coefficient Calculator Formula & Variables

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

J = rac{V_a}{n D}, quad K_T = rac{T}{ ho n^2 D^4}

Dimensionless advance ratio and thrust coefficient according to Wageningen B-series conventions.

How to Use the Marine Propeller Advance Ratio & Thrust Coefficient Calculator

  1. Input advance speed Va, propeller revolutions per second n, diameter D, and thrust in Newtons.

Step-by-Step Example Calculation

Container Feeder Ship Propeller

Input Values:

advanceVelocityVaKnots:14
propellerRps:2.2
propellerDiameterM:3.8
thrustNewtons:220000
Worked Steps: Advance ratio J = 0.861, thrust coefficient K_T = 0.2119, developing 1,584 kW of effective thrust power.

Understanding Your Result

High J values indicate light loading (high speed); low J indicates heavy loading (trawling or bollard pull).

Factors That Affect the Result

  • Hull wake fraction (w) reduces advance velocity below ship speed: Va = V * (1 - w).

When Should You Use This Calculator?

  • Propeller open-water efficiency optimization, cavitation margin checking, and engine-propeller matching.

Assumptions & Limitations

  • Applies open-water steady-state conditions in uniform flow; ignores cavitation breakdown.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ITTC marine propeller propulsion testing procedure.

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