From main engine to hull and propeller

One model of the stern: structure, shaft line, propeller and rudder

Generated with our own software on a container ship's stern. Floors, girders, web frames, longitudinals, collars and end brackets are placed by class rules and shipyard standard details, on the same axis as the stern tube, shafting, propeller and rudder. The main engine is shown as its envelope.

Half-section of a ship's stern from the main engine to the propeller: coloured floors, web frames, longitudinals and brackets inside the hull, with the shaft line, stern tube, propeller and rudder on one axis.

Specialised engineering services · propulsion

Marine engineering and naval architecture, from hull to main engine

We analyse and design the flow around the hull and into the propeller, the propeller itself, the propulsion shaft line, and the machinery and piping systems that serve the ship. Propulsion is our specialisation: the main engine, the shafting, the bearings and the propeller are assessed as one system, from propeller and engine matching to shaft alignment, stern tube bearing wear, and torsional, axial and whirling vibration. Every result is documented so that the yard, the owner and the superintendent can check it.

Propeller, stern tube, intermediate bearings and main engine on a common axis. The dashed curve is the hull deflection, which varies with loading condition, draught and trim.

Systems integration

Four components, one shaft line, one model

The engine, the shafting, the bearings and the propeller are specified and supplied by different parties, and most shaft-line problems arise at the interfaces between them. Each component is assessed with the loads and displacements the other three impose on it.

01

Main engine

Rated power and speed, the engine load diagram, and thermal growth of the engine and its seating. The engine is matched to the propeller across the operating range, not at one point.

02

Shafting

Strength to IACS UR M68 and class rules, alignment across the hull deflection cases, influence coefficients, and the bearing offsets or chock heights that set the line.

03

Bearings

Load, relative slope and lubricating film in the stern tube and line bearings, the duty each carries, and which bearing reaches its limit first.

04

Propeller

Geometry, mass and polar inertia, and the open-water characteristic that fixes where the propeller absorbs the engine’s power. Offsets and section data are prepared for the manufacturer.

Ships in service

Problems investigated

  • Alignment problems. Elevated stern tube or line bearing temperature, discoloured oil, a wiped bearing or a seal failure, traced to the bearing loads and slopes that produced them.
  • Bearing wear. Abnormal wear-down ranked bearing by bearing, the effect of slope boring the stern tube, and a wear life in years where a dry-dock wear-down record allows the rate to be calibrated.
  • Shaft vibration. Torsional, axial and lateral response, and the engine-order and blade-rate crossings that fall inside the operating speed range.
  • Performance degradation. A propeller absorbing power away from its design point, an engine running towards its torque limit, and the rise in bearing friction and temperature that accompanies misalignment.

Newbuilding, conversion and repair

Decisions supported

  • Engine and propeller matching. Whether the selected propeller lets the engine develop its rated power at the intended speed, with a margin for hull fouling and weather.
  • Alignment design. Bearing positions, offsets and chock heights, checked against every hull deflection case supplied.
  • Stern tube bore. Whether the bush should be slope bored, and to what slope.
  • Propeller replacement or re-pitch. A propeller geometry, its offsets and section drawings for the manufacturer, and its mass and inertia returned to the shafting calculation.

Premium service 3D hull · CFD · wake

A 3D hull for the ship you already operate

Yards rarely hand over the 3D hull. We rebuild it from the drawings you already hold, check it against your own hydrostatics, and run viscous CFD on it: resistance split into friction and pressure, the wake where your propeller turns, and a speed–power curve calibrated to your trial or model-test data. It is the basis for a performance baseline, for EEXI, EEDI and CII work, and for propeller or energy-saving-device studies.

No charge
for the feasibility review: up to 5 working days from a complete set of drawings
0.22%
grid uncertainty on resistance, four grids to 21.3 M cells, in our published example
6 to 8 weeks
from payment and complete data to the report
A VLCC-scale hull in 3D with its section and waterline curves, and close views of the stern and the stem.
3D hullVLCC-scale form, conventional stem. Sections (copper) and waterlines (teal) faired into one closed surface by our hull generator. Your drawings take the place of its inputs.
Stern arrangement drawing: centreline profile with the propeller disc and shaft line, a 3D view of the stern, and four transverse sections, without scales.
Stern arrangementCounter, shaft housing, rudder horn and propeller disc. Centreline profile and four stations through the stern, with the propeller's clearance checked on the actual surface. Scales removed for this page.
Streamlines along the stern of a merchant hull converging into the propeller disc, coloured by surface pressure.
Viscous CFDStreamlines running into the propeller disc. The hull coloured by pressure, red where the flow slows. From our published four-grid example.
An LPG carrier hull in 3D with its section and waterline curves, and close views of the stern and the stem.
3D hullLPG carrier form, no bulb. The same stern network carried into a fuller forebody, with its own stem.
Nominal wake over the propeller disc: slow flow behind the stern at the top, arrows showing the in-plane flow.
WakeWhat the propeller actually meets. Axial wake over the propeller disc, with the in-plane flow as arrows, sampled at 720 points and resolved to 12 harmonic orders.
An offshore vessel hull with an inverted bow in 3D, with close views of the stern and the bow.
3D hullOffshore vessel, inverted bow. A short, full hull with a raised inverted bow and a working deck at moulded depth.
Stern arrangement drawing of an offshore vessel hull, without scales.
Stern arrangementThe same checks on a short, full hull. Profile, 3D stern and four stations for the offshore form. Scales removed for this page.
Pressure and streamlines over the forward body of a merchant hull.
Viscous CFDPressure and friction over the whole hull. Resistance is integrated from the hull surface and reported as its friction and pressure parts.

The hulls shown are our own generator's, the flow is our published example. A client's drawings and the model built from them are never shown.

Hull flow · propeller inflow · shaft-line loads

The propeller works in the wake the hull leaves behind it

Every unevenness in that wake returns to the shaft line as fluctuating thrust, torque and bending moment at the propeller boss. We compute the viscous flow around the hull, sample the wake where the propeller turns, and carry it through the blade to the loads the shafting and its bearings must carry. The resistance is taken from four systematically refined grids and is reported with the uncertainty the grid itself contributes.

21.3 M
cells on the finest of four grids
0.22%
grid uncertainty on hull resistance
720
wake samples over the propeller disc
12
wake harmonic orders resolved
Streamlines along the stern of a merchant hull converging into the propeller disc, coloured by surface pressure.
Case 1, a single-screw merchant hull, computed at model scale. The finest of four grids is 21.3 million cells. Streamlines run into the propeller disc (outlined); the hull is coloured by pressure, red where the flow slows.
  1. Pressure and streamlines over the forward body of the hull.

    01 · Hull

    Resistance, split into what causes it

    Pressure and skin friction are resolved over the whole hull, so resistance is reported as its friction and pressure parts, and the boundary layer is followed aft to the propeller. The friction share moves by one point across a fivefold change in cell count, which is how it is known to belong to the hull and not to the mesh.

    88 % of the model's resistance is skin friction

  2. Nominal wake over the propeller disc: slow flow behind the stern at the top, arrows showing the in-plane flow.

    02 · Propeller plane

    The wake, in three components

    Axial, radial and tangential velocity are sampled at 720 points over the disc. The bright band is the slow water behind the stern; the arrows are the cross-flow each blade meets.

    0.33 area-mean nominal wake fraction, on the finest grid

  3. Chart: axial inflow seen by a blade through one revolution at three radii, falling sharply near the top of the disc.

    03 · Blade

    What one blade meets in one turn

    At 0.7 of the radius the inflow falls from 0.85 to 0.32 of ship speed as the blade passes under the stern. That swing marks the sector to investigate for blade loading, cavitation and fatigue.

    0.54 V swing in inflow, every revolution

  4. Chart: disc-mean wake harmonic amplitude by order on the three finest grids. Blade rate for a five-blade propeller is marked at order 5.

    04 · Shaft line

    How the wake can reach the shafting

    The spectrum is the disc-mean amplitude on the three finest grids, and the colours in the figure are those grids. It is still moving with refinement, so it shows which orders dominate, not a force to design to. The marks beside the list are the shaft load each family of orders can produce.

    • Multiples of the blade number can couple into thrust and torque fluctuation at blade rate, the input to axial and torsional vibration.
    • Those either side can couple into transverse force and bending moment at the boss, carried by the stern-tube bearing.
    • The first harmonic can offset the mean thrust from the shaft axis, a steady moment for the alignment calculation.
    • These are wake harmonics, not forces: their size at the shaft is set by a propeller-response calculation.

Method. Steady RANS, k-ω SST, OpenFOAM. The mesh is refined at the stern with prism layers on the hull. Four grids are built from one specification with every length scaled together, and the resistance is assessed by the ASME V&V 20 grid-convergence procedure. Wake sampling, harmonic analysis and the link to the shaft-line model are done in in-house software.

About this example. A model-scale, double-body calculation of the bare hull, giving the nominal wake without a working propeller. It is shown to demonstrate the method.

Reported as obtained. On this grid family the resistance is converged, to 0.22% at an observed order of accuracy of 2.93. Three meshes, stopping at 8.4 million cells, would have returned an order of 0.83 and a grid uncertainty of 3.18%. The wake quantities are not converged. The area-mean wake fraction reads 0.30, 0.32 and 0.33 on the three finest grids, still rising, and is quoted from the finest. The blade-inflow swing at 0.7 of the radius is steadier, at 0.61, 0.55 and 0.54 of ship speed. A study for a particular vessel is run at its own conditions, with the disc sampled often enough to converge the wake as well as the resistance.

Services

One specialisation, with supporting capabilities

Propulsion shafting is the specialisation. The three supporting capabilities grow from the same engineering, connect to the shaft line where it is affected, and are also taken up on their own. All are carried out on the same basis: clear boundaries for the calculation, stated assumptions, and results another engineer can repeat.

Lead practice

Propulsion shafting systems

The complete shaft line, from main engine to propeller, analysed on one model. The study is used to set chock heights, to decide whether the stern tube should be slope bored, to establish which bearing reaches its limit first, and to explain a vibration or bearing-temperature complaint.

The basis of the analysis

Supporting capability

Machinery and piping systems design

Design, integration and upgrading of shipboard auxiliary machinery (pumps, heat exchangers, refrigeration plant, compressors, generators) and the piping that serves it, including the stern tube lubrication and cooling services and the seating and thermal effects that reach the shaft line.

Scope of the design work

Supporting capability

Customised design or analysis

Calculation or design directed at one machine or one defined engineering question: verification, uprating, damage investigation or replacement selection, including couplings, thrust arrangements, stern gear and seals.

How an engagement is defined

Supporting capability

Digital tools and AI integration

Computational tools of the kind behind the shaft-line and propeller analyses, built for a client’s own engineering problem: solvers on stated physics, measurement and data systems, and machine learning where it improves on a conventional method.

Try the calculators

In-house tool Beta release

Propeller geometry, offsets and strength screening

From fixed-pitch propeller particulars to a blade geometry, the offset table and section drawings the manufacturer works from, a solid model, and a three-mesh strength screening with a convergence record. The propeller’s mass and inertia are returned to the shafting calculation, so the propeller and the line are assessed on the same data.

Rendered solid model of a five-bladed, highly skewed propeller generated by the service.
B - gas carrier, 5 blades, high skew · 8.3 mRendered solid model generated by the service from the particulars.

< 1 sBlade geometry generated from particulars
20–80 minComputing time for a three-mesh strength study
0.36–0.49 MQuadratic elements on the finest mesh
4 of 4Example propellers meshed at every level, first attempt

Why speed matters in design

The design spiral turns many times, and every turn changes the propeller

Ship design converges by iteration: mission, proportions, hull form, arrangements, powering, weights, stability and structure are revisited, each turn on firmer ground. The propeller sits in the powering loop, and every neighbouring decision acts on it.

The ship design spiral Eight design activities arranged around a spiral that turns four times, from concept to detail design. The propeller activity, powering and propeller, is highlighted: each turn of the spiral passes through it and needs a current propeller model. 1 2 3 4 Mission requirements1 Proportions2 Hull form3 Arrangements4 Powering and propeller5 Weights6 Stability and trim7 Structure and cost8
  1. Mission requirements
  2. Proportions
  3. Hull form
  4. Arrangements
  5. Powering and propeller
  6. Weights
  7. Stability and trim
  8. Structure and cost
The design spiral after J. H. Evans (1959): four turns, from concept through preliminary and contract to detail design. Each turn passes the propeller (numbered 1 to 4) and needs a current model of it.

01

The propeller is coupled to every other decision

Hull form fixes the wake and the thrust deduction. Resistance and speed fix the thrust. The engine fixes power and revolutions. Draught and the stern arrangement limit the diameter. Cavitation and hull-pressure vibration set the blade area and skew. Change any one of them and the best diameter, pitch ratio, blade number and area ratio move with it.

02

A slow model forces an early freeze

When a three-dimensional propeller costs a day of CAD work it is built once and carried unchanged through the later turns, and the assumptions behind it go unchecked. At under a second it is regenerated at every turn. A sweep of fifty variants of diameter, pitch and blade number costs about forty seconds of computing time, so the designer can look at the alternatives and not only at the first estimate.

03

The same model serves every phase

Concept: envelope, mass and polar inertia for the weights estimate and the shafting. Preliminary: geometry for panel-method and CFD work. Contract: the basis for the drawing and the manufacturer’s enquiry. Detail: the casting pattern, additive-manufacturing preparation and a strength screening.

04

For a ship in service: is the right propeller fitted?

Rebuilt from its particulars, the propeller shows where it absorbs the engine’s power, how far that point lies from the efficiency optimum, and what margin its blade area leaves against cavitation. Set beside trial data corrected to ISO 15016 it shows whether propeller and engine were matched at delivery, and ISO 19030 indicators then track what hull and propeller have lost since. The result informs a decision on re-pitching, on replacement at the next dry-docking, or on accepting an engine rating.

These are screening studies, on Wageningen B-series open-water characteristics unless the propeller’s own curve is available. They give the engineering decision a sound basis, and where model tests or class approval follow, we take the study through them with you.

Technical evidence

Worked examples, for the engineer who wants the detail

Each panel opens the calculation behind a claim above: the reference shaft line and its analysis sequence, and four example propellers reported as obtained, including one that exceeds its allowable and one still under mesh refinement. The hull-flow example above reports viscous resistance to a grid uncertainty of 0.22% on four meshes, and states the wake quantities that have not yet converged.

Marine shaftingReference calculation and analysis sequenceA 39.2 m reference shaft line: arrangement, beam results, Campbell diagram and the four-result sequence.View technical details

Reference calculation

The demonstration line

Every figure below is output from the in-house shaft-line software applied to a single reference vessel; none is an illustration of a generic arrangement. The shafting is 39.2 m overall, with a six-cylinder two-stroke engine directly coupled to a five-bladed propeller and rated 18 660 kW at 91 r/min.

39.2 mShafting arrangement length
18 660 kWRated output at 91 r/min
7.6 mPropeller diameter, five blades
979 kNTotal supported load
Elevation of the reference shaft line: propeller, bearings, flywheel and engine along 39.2 metres.
Shafting arrangement in elevation. Propeller, stern tube bearings, intermediate supports, flywheel and engine on a common station axis. Every subsequent figure is computed on this geometry.
Beam result for the reference shaft: deflection, shear, bending moment and combined stress.
Beam results. Deflection, shear force and bending moment along the elastic line. Peak bending on this condition occurs near the propeller end; the combined-stress and minimum-diameter checks are applied at the same stations.
Campbell diagram of whirl frequency against rotational speed, with engine-order lines.
Campbell diagram. Lateral natural frequencies against shaft speed, with the shaft-order and blade-rate excitation lines and their crossings, for the rotor defined by the alignment model.

Three further figures are shown on the shafting page: the stern tube pressure field, the support influence coefficients, and the projected bearing wear. An absolute wear life is quoted only where a dry-dock wear-down measurement is available to calibrate the rate.

Sequence of the analysis

Four results, one geometry

01

Alignment

Bearing reactions, slopes and lift-off loads, the influence of each adjustable support, and the hull deflection cases supplied for the vessel.

02

Lubrication

The journal film at the load and misalignment produced by the alignment: pressure distribution, minimum film thickness and the load share carried by asperity contact.

03

Vibration

Torsional, axial and lateral response of the same rotor. Dynamic bearing loads and shaft orbits are returned to the lubrication model where the duty requires it.

04

Bearing duty

Relative duty of each bearing, and the effect of slope boring the stern tube on that ranking. Absolute wear life is quoted only against a measured wear rate.

An alignment calculation is complete when the free body, the beam model and the acceptance criteria can each be reconstructed from the report.

A study issued by Advik Protofab is an engineering calculation prepared for the yard, the owner and the superintendent, and we stay with it until it has served its purpose. The party a classification society recognises for the vessel makes the submission, with a report written so that it can be presented and defended, and we support it through the review: we answer the society’s or the flag administration’s questions on our work and run any further cases they ask for, until those questions are closed. Where a result depends on a measurement that has not been taken, such as a jacking curve, a wear-down record or a hull deflection survey, the report states the dependency and its effect rather than assuming a value.

Propeller serviceExamples, process and manufacturing scopeFour example propellers (two within the allowable, one under refinement, one exceeding), the five-step procedure, and the casting and additive-manufacturing routes.View technical details

Why it matters

Automation where propeller work is slowest

Modelling a blade, preparing it for analysis and proving the mesh are the steps that consume the most skilled time. Here they run as one procedure, so a change of particulars is a re-run and not a new task.

01 · Process automation

One procedure, no manual data transfer

Geometry, solid model, mesh, solution and report follow one another without re-keying. Mesh volume is checked against the solid and force equilibrium is verified on every run. Every input and result file is kept, so the work can be audited or repeated.

02 · Rapid prototyping

Design variants in hours

Blade number, diameter, pitch, area ratio and skew can be varied and each variant returned with its mass, inertia and root stress. Alternatives are compared on evidence before a pattern is cut or a build is started.

03 · Engineering candour

A result is issued once it has converged

Each study is solved on three meshes, and the screening result is issued once the peak stress has converged; until then the mesh is refined further. Where a design exceeds the allowable the report says so plainly. Both cases appear among the four examples below.

Four examples

Generated and assessed, reported as obtained

Illustrative designs produced from stated particulars, in cast nickel-aluminium bronze, grade CU3. The screening allowable is 65.6 MPa, the specified minimum tensile strength divided by 9.

Propeller A, four blades.
A · Bulk carrier6.9 m, 4 blades, 8,900 kW20.8 t · peak 55.8 MPaWithin allowable
Propeller B, five blades, high skew.
B · Gas carrier8.3 m, 5 blades, 12,500 kW38.8 t · peak 45.8 MPaUnder refinement: mesh study continuing
Propeller C, six wide blades.
C · Container feeder7.4 m, 6 blades, 21,000 kW37.2 t · peak 118.5 MPaExceeds allowable
Propeller D, four blades, left-handed.
D · Product tanker5.8 m, 4 blades, 6,200 kW12.8 t · peak 57.3 MPaWithin allowable
Surface mesh at a blade tip, refined towards the tip and edges.
Mesh at the tip. Element size is reduced towards the tip and along both edges, where the section is thinnest.
Surface mesh at the blade root and boss.
Blade and boss as one solid. The root fillet is modelled, and the root stress is computed on that geometry.
Von Mises stress at the blade root.
Root stress, propeller A. Peak 55.8 MPa on the finest mesh; change from the preceding mesh 0.5 %.

Manufacturing route

For the foundry and for the build chamber

Traditional casting

A consistent data set for the pattern shop

  • Solid model (STEP) with blades fused to the boss
  • Section drawing (PDF), sections (DXF) and offset table (CSV) in the finished form
  • Mass, centre of gravity and mass moment of inertia for the shafting calculation
  • Strength screening in the cast condition, with meshes and input files for re-analysis

Additive manufacturing

Geometry ready for build preparation

  • Generation of the three-dimensional solid model is supported, for printed propellers, scale models or patterns
  • Variants can be produced quickly for trial builds and model tests
  • Strength computation for additively manufactured components is available as a separate study on request

This is a beta release, offered for evaluation and pilot studies. Results are a linear-elastic static screening, the step before classification-society approval, and we support the design through that approval, answering the society’s questions on our work. Analyses beyond those illustrated, including fatigue, hydrodynamic pressure loading, other materials and foundry allowances, are undertaken on request, each with its own timeline. Advik Protofab charges for engineering services only; no software is sold or licensed.

Commissioning a study

What you supply, what you receive, what it decides

Scope, input data, assumptions and acceptance criteria are agreed before calculation begins. A non-disclosure agreement can be executed before any drawing is exchanged.

01

Enquiry

The vessel, the machinery concerned and the decision the study has to support. An initial technical response within two working days.

02

Data review

The drawings, records and measurements available, and a written list of what is missing with the effect of each gap on the result.

03

Scope and proposal

Conditions, standards applied, acceptance criteria, deliverables, schedule, commercial terms and exclusions, agreed in writing.

04

Calculation and report

One confirmed model, results reported in the terms of the original question, and a technical review with your engineers at close-out.

You supply

What the vessel already holds

  • Shafting arrangement drawing, or sister-vessel particulars identified as such
  • Bearing positions, lengths, clearances and materials
  • Propeller and engine data
  • Hull deflections, where a design office or class file holds them
  • Any jacking, gap and sag, bearing temperature, wear-down or vibration record

Drawings can follow the first reply. Missing data is listed with its effect on the result, not replaced with an undeclared assumption.

You receive

A model and a report you can check

  • One shaft-line model, every input labelled as measured, supplied or assumed
  • Bearing reactions, slopes, and offsets or chock heights
  • Lubricating film and bearing duty at the calculated misalignment
  • Vibration results, with the crossings inside the operating range
  • Comparison against any measurement, and a list of open items

It decides

The engineering question you started with

  • The bearing offsets or chock heights to install
  • Whether the stern tube should be slope bored
  • Which bearing reaches its limit first
  • Whether the propeller lets the engine reach its rated power
  • The likely cause of a vibration or bearing-temperature complaint, and the measurement that would confirm it

Every stage, and what it requires and produces, is set out on the engagement page.

Work with us

Discuss your vessel, its propulsion or its machinery

The question may concern the hull and the flow it delivers to the propeller, the propeller itself, the propulsion shaft line, or the machinery and piping systems that serve the ship. Tell us what the vessel or the machinery is doing, what information is available and what decision has to be made. We will define the scope and the information required.

Enquire directly about a naval architecture or hull-flow study, a shafting study, a propeller pilot study, a machinery or piping design, a customised analysis or a software development.