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Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator

Easily calculate and compute ship effective power (pe), delivered power (pd) & propulsive efficiency calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
18,668 kW

Required Brake Engine Power (P_b)

Required Brake Engine Power (P_b)

18,668 kW

Effective Towing Power Pe Kw

12861

Delivered Power Pd Kw

18294

Hull Efficiency Eta H

1.077

Quasi Propulsive Efficiency Pct

70.3

18,668 — kW

Calculation Breakdown

  1. Applied FormulaConnects hull towing resistance to installed diesel engine brake power Pb using the classic naval architecture propulsive efficiency breakdown (hull efficiency, relative rotative efficiency, and shaft losses).P_e = R_T v_s, \quad P_d = \frac{P_e}{\eta_D}, \quad \eta_D = \eta_H \eta_o \eta_R = \left( \frac{1 - t}{1 - w} \right) \eta_o \eta_R, \quad P_b = \frac{P_d}{\eta_s}

Propulsive Efficiency & Power Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04.7k9.3k14.0k18.7kRequired Brake Engine Power (P_b)

What Is the Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator?

This tool computes ship effective power (pe), delivered power (pd) & propulsive efficiency calculator with high precision arithmetic.

How Does the Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator Work?

Connects hull towing resistance to installed diesel engine brake power Pb using the classic naval architecture propulsive efficiency breakdown (hull efficiency, relative rotative efficiency, and shaft losses).

Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator Formula & Variables

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

Pe=RTvs,Pd=PeηD,ηD=ηHηoηR=(1−t1−w)ηoηR,Pb=PdηsP_e = R_T v_s, \quad P_d = \frac{P_e}{\eta_D}, \quad \eta_D = \eta_H \eta_o \eta_R = \left( \frac{1 - t}{1 - w} \right) \eta_o \eta_R, \quad P_b = \frac{P_d}{\eta_s}

Connects hull towing resistance to installed diesel engine brake power Pb using the classic naval architecture propulsive efficiency breakdown (hull efficiency, relative rotative efficiency, and shaft losses).

How to Use the Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Ship Effective Power (Pe), Delivered Power (Pd) & Propulsive Efficiency Calculator Example

Input Values:

totalHullResistanceKn:1250
shipSpeedKnots:20
taylorWakeFractionW:0.22
thrustDeductionFractionT:0.16
openWaterEfficiencyEtaO:0.64
relativeRotativeEfficiencyEtaR:1.02
shaftMechanicalEfficiencyEtaS:0.98
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kW.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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