Thermodynamics and Marine Engineering II: Marine Diesel Engines, Turbines, Boilers, Engine Dynamics and Auxiliary Systems

The second chapter of NM Section 5 is the machinery of the ship, in the syllabus’s six headings. Marine diesel engines: low- and medium-speed engines, two and four strokes, scavenging and turbocharging, the fuel, lubricating-oil, cooling and starting-air systems, reversing, controls and safety devices, couplings and gearboxes, torque and power measurement, specific fuel consumption, waste-heat recovery, and the MARPOL regulations with the Energy Efficiency Design Index (EEDI) and the Ship Energy Efficiency Management Plan (SEEMP). Marine steam turbines: types, compounding and reheat, the rotor, blades, casing, glands, diaphragms, nozzles and bearings, lubrication, expansion arrangements and gearing — with the Rankine cycle they run on; then marine gas turbines and combined cycles, nuclear propulsion and electrical propulsion. Marine boilers: fire-tube, water-tube, package, Cochran and composite boilers, steam-to-steam generators and double-evaporation boilers, exhaust-gas boilers, mountings, combustion, the feed system and feed-water treatment. Engine dynamics: torsional and axial vibration of engine and shafting, critical speeds, engine rating and its corrections, trials, the engine’s relationship to the propeller, classification rules, engine-room arrangement, automation, maintenance and reliability. Auxiliary machinery and systems: pumps and piping, purifiers and clarifiers, bilge and ballast, sewage and the oily-water separator, compressors, heat exchangers, HVAC, deck machinery, cargo handling and steering gear.

1. Marine diesel engines and their systems

Most merchant ships are driven by diesel engines. Low-speed engines (below about 300 rpm) are large two-stroke crosshead engines coupled directly to a fixed-pitch propeller, with no gearbox; the crosshead separates the cylinder from the crankcase, so the cylinder is lubricated separately by an alkaline cylinder oil matched to the fuel’s sulphur content and the crankcase runs on system oil. Medium-speed engines (about 300–1000 rpm) are four-stroke trunk-piston engines, whose crankcase oil lubricates the liner too; they drive the propeller through a reduction gearbox, often with a controllable-pitch propeller, and they drive the generators. A modern low-speed engine has the lowest specific fuel consumption of any prime mover in service, with a thermal efficiency approaching 50%.

Scavenging and turbocharging. A two-stroke engine clears its cylinder with the incoming air: cross scavenging (air ports on one side, exhaust ports opposite), loop scavenging (both sets of ports on one side, the air looping up and back) and uniflow scavenging (air ports round the liner bottom, exhaust through a valve in the cover), the last giving the cleanest sweep and used in modern low-speed engines. Turbocharging uses the exhaust gas to drive a turbine on a common shaft with a compressor that raises the density of the charge air, which is then cooled in a charge-air cooler; the turbine may be fed at constant pressure from a large exhaust receiver, which suits steady high loads, or by pulses from short pipes, which responds better at low load; auxiliary electric blowers take over at low load when the exhaust energy is too small.

The diesel engine’s supporting systems
SystemWhat it does
Fuel oilBunker tanks → heated settling tank (water and sludge drained) → purifiers → service tank → booster pumps and heaters that bring heavy fuel to injection viscosity → fine filters → injection pumps or common rail
Lubricating oilSystem oil pumped from a sump tank through coolers and filters to bearings, crossheads and piston cooling, cleaned continuously by a purifier; cylinder oil fed by lubricators to the liner
CoolingA closed fresh-water jacket circuit for liners, covers and turbochargers, cooled in turn by sea water — commonly through a central cooler that serves all the fresh-water circuits
Starting airAir compressed to about 30 bar and stored in receivers, admitted to the cylinders in firing order by an air distributor and starting valves until the engine fires
ReversingDirect-reversing low-speed engines re-time fuel injection, exhaust valves and starting air for astern — by shifting the camshaft or, in electronically controlled engines, by software; medium-speed engines reverse through the CPP or a reverse gear
Controls and safety devicesSpeed governor, overspeed trip, shutdown on low lubricating-oil pressure, crankcase oil-mist detector and crankcase explosion relief valves, cylinder relief valves, turning-gear interlock, alarms on temperatures and pressures
Couplings and gearboxesFlexible couplings absorb misalignment and detune torsional vibration; clutches and fluid couplings disconnect; single- or double-reduction and epicyclic gearboxes match engine to propeller speed

Torque and power measurement. The indicated power comes from the indicator diagram, P_i = p_m L A n k (mean indicated pressure, stroke, piston area, power strokes per second per cylinder, cylinders). The brake (shaft) power is P = 2πNT/60: on the test bed a dynamometer absorbs and measures the torque, and at sea a torsionmeter — strain gauges on the shaft reading its shear strain — gives T, so that an engine turning at 90 rpm with a torque of 500 kN·m delivers 2π × 1.5 × 500 = 4712 kW. The specific fuel consumption is fuel mass flow over power, in g/kWh: 2000 kg/h at 10 000 kW is 200 g/kWh, and with a calorific value of 42 700 kJ/kg the brake thermal efficiency is 3600/(0.2 × 42 700) = 42.2%. Waste-heat recovery takes the heat the engine rejects — exhaust gas through an exhaust-gas boiler (economiser) raising steam for heating or a turbo-generator, a power turbine on surplus exhaust, jacket water to a fresh-water generator — and returns part of it as useful energy.

MARPOL, EEDI and SEEMP. The International Convention for the Prevention of Pollution from Ships (MARPOL) has six annexes: I oil, II noxious liquid substances in bulk, III harmful substances in packaged form, IV sewage, V garbage and VI air pollution — sulphur oxides (a global limit of 0.50% sulphur in fuel since 2020 and 0.10% in emission control areas), nitrogen oxides (tiered engine limits), ozone-depleting substances and energy efficiency. Under Annex VI the Energy Efficiency Design Index (EEDI) is a design-stage figure for a new ship — its CO₂ emission per unit of transport work, in grams of CO₂ per tonne-nautical mile — whose attained value must not exceed a required value that tightens in phases; the Ship Energy Efficiency Management Plan (SEEMP) is an operational, ship-specific plan for improving efficiency in service — voyage and speed optimisation, hull and propeller cleaning, trim, and monitoring — kept on board by existing ships as well as new ones.

2. Steam turbines and the Rankine cycle; gas turbines, nuclear and electrical propulsion

A steam plant works on the Rankine cycle: the feed pump raises the condensate to boiler pressure (3→4), the boiler and superheater add heat at constant pressure (4→1), the turbine expands the steam (1→2) and the condenser rejects heat (2→3). Its efficiency is η = [(h₁ − h₂) − (h₄ − h₃)]/(h₁ − h₄). With h₁ = 3200, h₂ = 2200, h₃ = 190 and a pump work of 5 kJ/kg (h₄ = 195), η = (1000 − 5)/(3200 − 195) = 33.1%; the pump work is small because it compresses a liquid. Reheat returns partly expanded steam to the boiler to be heated again, which raises the mean temperature of heat addition and, above all, keeps the steam drier at the turbine exhaust, where wet steam erodes the last blades; regenerative feed heating with bled steam raises the feed temperature and the efficiency further.

Types and compounding. In an impulse turbine the whole pressure drop of a stage takes place in fixed nozzles, and the moving blades only turn the jet, changing its momentum at constant pressure; in a reaction turbine the pressure falls in both the fixed and the moving blades, which act as nozzles too (the Parsons turbine has 50% reaction). A single impulse stage would need an impossibly high blade speed, so the energy is divided — compounded: velocity compounding (the Curtis stage) expands the steam in one set of nozzles and absorbs its velocity in two or more rows of moving blades with guide blades between; pressure compounding (Rateau) divides the pressure drop among a series of nozzle-and-blade stages, the nozzles being carried in diaphragms between the wheels; pressure–velocity compounding combines them. Construction: rotors are solid forgings or built-up discs; blades are held by fir-tree or similar roots and tied by shrouds; the casing is split horizontally, the HP and LP turbines usually in separate casings; glands where the shaft leaves the casing are labyrinths fed with gland steam and exhausted to a gland condenser, so that steam does not leak out at the HP end and air does not leak in at the LP end; journal bearings are white-metal lined and a tilting-pad thrust bearing locates the rotor. A forced lubrication system — pumps, gravity tank, coolers and filters — serves the bearings and gears; expansion arrangements (sliding feet and keys from a fixed point) let the hot casing grow without distorting; and double-reduction double-helical gearing brings some thousands of rpm down to propeller speed.

Marine gas turbines run on the Brayton cycle: an axial compressor, a combustor (can, can-annular or annular) and a turbine — in propulsion units a gas-generator turbine that drives the compressor and a separate free power turbine that drives the load through a reduction gearbox. Their operational features are a very high power-to-weight ratio, starting and loading in minutes, low manning and low vibration, set against a high fuel consumption at part load, the need for clean distillate fuel, large air intakes and uptakes, and no reversing — so a controllable-pitch propeller or reversing gear is fitted. Controls govern fuel flow, speed and temperature and protect against overspeed, over-temperature and compressor surge. Combined cycles pair prime movers — CODOG, CODAG and COGAG arrangements of diesels and gas turbines for cruise and boost, and COGES/COGAS, in which the gas turbine’s exhaust raises steam for a steam turbine; ideally η = η_GT + η_ST(1 − η_GT), so 35% and 30% combine to 54.5%.

Nuclear propulsion. In a reactor, a neutron splits a nucleus of uranium-235, releasing heat and two or three further neutrons that sustain a chain reaction. A moderator (in marine reactors, water) slows the neutrons so that they cause fission efficiently; control rods of neutron-absorbing material (boron, cadmium or hafnium) are moved in and out to hold the reactor exactly critical and to shut it down; a coolant carries the heat away; and heavy shielding protects the crew. Seagoing reactors are mostly pressurised-water reactors: the primary water, kept liquid by high pressure, carries the heat to a steam generator, where a secondary circuit raises steam for the turbines. Nuclear propulsion gives years of endurance without refuelling and needs no air, which is why submarines, large aircraft carriers and icebreakers use it; its cost, shielding weight, regulation and restricted port access keep it out of merchant ships. Electrical propulsion separates power generation from propulsion: diesel or turbine generators feed a common switchboard, and electric motors — on the shaft or in azimuthing pods — drive the propellers through variable-frequency converters. It suits ships with large hotel loads and varied operating profiles, such as cruise ships, dynamic-positioning vessels and icebreakers, because the right number of generators can run near their best load at every speed.

3. Marine boilers, mountings, combustion, feed system and water treatment

Types of marine boiler
BoilerConstruction and use
Fire-tube (e.g. Scotch)Hot gases pass inside tubes surrounded by water in a large shell; large water content, slow to raise steam, tolerant of feed quality, limited to low pressure. Auxiliary steam.
Water-tube (e.g. D-type)Water and steam inside tubes between drums, gases outside; small water content, quick steaming, high pressure and superheat. Main propulsion steam plant.
CochranA vertical fire-tube boiler with a hemispherical furnace and horizontal smoke tubes; compact auxiliary boiler.
PackageFactory-assembled with burner, fans, pumps and automatic controls, delivered ready to connect.
CompositeOne shell with an oil-fired section and an exhaust-gas section, so that it can steam from the main engine’s exhaust at sea and from its burner in port.
Exhaust-gas boiler (economiser)Tube banks in the engine uptake heated by exhaust gas, usually with forced circulation from an oil-fired boiler’s drum.
Steam-to-steam generator and double-evaporation boilerA primary high-pressure circuit of pure water heats a secondary drum through coils; the secondary steam serves cargo and fuel heating, so contamination from those services cannot reach the primary boiler.

Boiler mountings are the fittings on the pressure vessel that make it safe and controllable: at least two safety valves set to lift at the design pressure; the main stop valve; the feed check valve, a non-return valve on the feed inlet; two independent water-level gauges; blow-down valves (bottom and surface/scum); a pressure gauge, air vent and sampling connection; and, on automated boilers, low-water and flame-failure cut-outs. Combustion: the burner atomises the fuel (pressure-jet, steam- or air-assisted, or rotary cup) and the air register swirls in the right quantity of air — too little leaves unburnt fuel and smoke, too much carries heat up the funnel — and soot blowers keep the gas-side surfaces clean. The feed system runs from the condenser through the extraction pump, a deaerator that removes dissolved oxygen, the feed pump and feed heaters to the boiler. Feed-water treatment prevents scale (hardness salts deposited on hot surfaces, which insulate tubes until they overheat), corrosion (by dissolved oxygen and low pH) and foaming and carry-over: phosphate treatment turns hardness into a removable sludge, oxygen scavengers such as hydrazine or sodium sulphite remove the last oxygen, alkalinity is kept up, and blow-down limits the dissolved solids, all checked by routine tests of chloride, pH and alkalinity.

A boiler’s efficiency is the heat taken up by the steam over the heat released by the fuel, η = ṁ_s(h_s − h_f)/(ṁ_f × CV). A boiler making 10 000 kg/h of steam at 2800 kJ/kg from feed at 420 kJ/kg while burning 800 kg/h of fuel of 42 000 kJ/kg has η = 10 000 × 2380/(800 × 42 000) = 70.8%; the losses are chiefly the heat in the flue gas, which an economiser and an air preheater recover in part.

4. Engine dynamics, rating, the propeller, rules, automation and reliability

Torsional vibration. The crankshaft, flywheel, line shaft and propeller form a chain of rotating inertias joined by torsionally elastic shafts. Two rotors of inertias I₁ and I₂ joined by a shaft of torsional stiffness k vibrate in opposition about a node at the natural frequency ω = √[k(I₁ + I₂)/(I₁I₂)]: with k = 2 × 10⁶ N·m/rad, I₁ = 100 and I₂ = 400 kg·m², ω = √25 000 = 158.1 rad/s, f = 25.2 Hz. Multi-rotor systems are solved by the Holzer tabulation or by eigenvalue analysis. The engine’s gas and inertia torques contain harmonics at integer and, for four-stroke engines, half-integer orders of the rotational speed, so a natural frequency f_n is excited at the critical speed N_c = 60 f_n/order rpm — a 25 Hz mode is excited by the 6th order at 1500/6 = 250 rpm. Where a critical cannot be moved out of the running range by changing stiffness or inertia, it is controlled by a viscous or spring damper, a tuned flexible coupling, or a barred speed range through which the engine is taken quickly. Axial vibration of the crankshaft and shafting is excited by the propeller’s thrust fluctuations and the crank throws’ deflection and is controlled by an axial damper; whirling of the shafting at its lateral critical speed is avoided by bearing spacing.

Engine rating states the power an engine may give: the maximum continuous rating (MCR) it may deliver indefinitely, and the lower continuous service rating at which the ship is designed to run, leaving a margin for weather and fouling. Ratings apply at stated reference ambient conditions of air temperature, pressure and cooling-water temperature; rating corrections reduce the permissible power in hotter air or warmer sea water, because the charge air is less dense and the engine hotter. Trials: shop (test-bed) trials of the engine, dock trials of the installation, and sea trials — speed on a measured course, endurance, astern running, crash stop and steering — prove the ship. Engine and propeller: a fixed-pitch propeller absorbs power as the cube of its speed, P ∝ N³ (torque ∝ N²) — running at 80% speed needs 0.8³ = 51.2% of the power — and the engine’s load diagram must contain this propeller curve with a light-running margin, because fouling and bad weather make the propeller “heavy” and move the operating point towards the engine’s torque limit. Classification society rules govern engine construction — approval of drawings, crankshaft dimensions, materials and their testing, safety devices and surveys through the ship’s life.

The engine-room arrangement places the main engine on the centre line low and aft, with the shafting in line to the stern tube, and groups around it the generators, boilers, purifiers, pumps, compressors and heat exchangers so that piping is short, every item can be reached and lifted out for overhaul, ventilation is adequate and there are two escape routes. Automation lets the machinery space run unattended for periods: alarm and monitoring systems, bridge control of the main engine, automatic start of standby pumps and generators, and a power-management system that starts, synchronises and sheds generator load. Maintenance is breakdown (run to failure), planned (at fixed running hours) or condition-based — trending vibration, lubricating-oil analysis, thermography and performance data to overhaul when the condition demands. Reliability is the probability of running without failure for a stated time, often summarised by the mean time between failures (MTBF), and the availability A = MTBF/(MTBF + MTTR) — 950 h between failures and 50 h to repair give A = 0.95 — is improved by redundancy of the critical systems.

⚠️ Order, not speed, sets the critical
A torsional natural frequency of 25 Hz (1500 cycles per minute) is not excited at 1500 rpm alone: every harmonic order q of the engine torque excites it at 1500/q rpm, so a six-cylinder four-stroke engine meets it at the 3rd order (500 rpm) and the 6th (250 rpm) among others. The dangerous orders are the major orders, multiples of the number of firings per revolution.

5. Marine auxiliary machinery and systems

Pumps and piping. Centrifugal pumps move large volumes of low-viscosity liquid — sea water for cooling, ballast and fire — and need priming; positive-displacement pumps (gear, screw and reciprocating) move viscous fuel and lubricating oil and are self-priming, which makes the reciprocating pump the classic bilge pump; ejectors use a driving jet. The ship’s piping systems include sea-water cooling from sea chests through strainers; the fresh-water cooling circuits; drinking water, made on board by a fresh-water generator that boils sea water under vacuum using the engine’s jacket-water heat, or by reverse osmosis, then sterilised and remineralised; hot water from calorifiers; and the fuel-oil and lubricating-oil transfer and service systems with their filters (often automatic back-flushing) and coolers (plate or shell-and-tube).

Centrifuges clean fuel and lubricating oil by spinning them in a bowl: a purifier separates both water and solids from the oil, with a water outlet and a gravity disc chosen to suit the oil’s density so that the oil–water interface sits in the right place; a clarifier separates solids only, has no water outlet, and is often run in series after a purifier. The bilge system collects drainage from the machinery spaces and holds through suctions with non-return valves; oily bilge water is processed by the oily-water separator, which uses gravity and coalescing elements and may discharge overboard only when the oil content is below 15 ppm, an oil-content monitor stopping discharge automatically above it. The ballast system fills and empties ballast tanks to control draught, trim and stability, and ballast water must now be treated to kill organisms before discharge. Sewage is treated biologically before discharge or held in a tank. Air compressors — multi-stage reciprocating machines with intercoolers — supply starting air at about 30 bar and service and control air. Heat exchangers, waste-heat recovery, and heating, ventilation and air conditioning (the plant of the previous chapter) complete the engine-room services.

Deck machinery and cargo handling. The windlass heaves the anchor cable over a gypsy (cable lifter); mooring winches and capstans handle the mooring lines, some with automatic tensioning; cranes and derricks handle cargo, and tankers discharge through cargo pumps — steam-turbine, electric or hydraulic, or submerged deep-well pumps in each tank. Propulsion and steering gear: the steering gear turns the rudder stock through an electro-hydraulic actuator — a ram type, in which hydraulic cylinders push a tiller, or a rotary-vane type, in which vanes on the stock turn inside a housing — powered by at least two pump units and controlled from the bridge by a telemotor or electrical follow-up system, with emergency steering available from the steering-gear compartment.

Key takeaways

  • Low-speed two-stroke crosshead engines drive the propeller directly; medium-speed four-strokes through a gearbox; uniflow scavenging and constant-pressure turbocharging suit large engines.
  • P = 2πNT/60; SFC = ṁ_f/P, η = 3600/(SFC in kg/kWh × CV); MARPOL Annex VI covers air pollution and energy efficiency — EEDI at design, SEEMP in operation.
  • Rankine η = [(h₁ − h₂) − w_p]/(h₁ − h₄); impulse drops pressure in nozzles only; Curtis = velocity, Rateau = pressure compounding; combined cycle η = η_GT + η_ST(1 − η_GT).
  • Fire-tube: gas in tubes, low pressure; water-tube: water in tubes, high pressure; boiler η = ṁ_s(h_s − h_f)/(ṁ_f CV); deaerators and oxygen scavengers fight corrosion.
  • Two-rotor torsion ω = √[k(I₁ + I₂)/(I₁I₂)]; critical rpm = 60f_n/order; propeller law P ∝ N³; A = MTBF/(MTBF + MTTR); purifier removes water and solids, clarifier solids only; OWS discharge below 15 ppm.

Practice questions (24)

Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.

  1. A marine diesel engine delivers a shaft torque of 500 kN·m at 90 rpm. Its shaft power (in kW), to the nearest integer, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 4712

    P = 2πNT/60 = 2π × 90 × 500/60 = 2π × 1.5 × 500 = 4712 kW. Omitting the 60 treats rpm as rev/s and gives 282 743 kW; omitting the 2π gives 750 kW.
  2. A main engine burns 2000 kg of fuel per hour while developing 10 000 kW. Its specific fuel consumption (in g/kWh) is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 200

    SFC = 2000 kg/h ÷ 10 000 kW = 0.2 kg/kWh = 200 g/kWh. Reporting 0.2 gives the value in kg/kWh, not the unit asked.
  3. An engine has a specific fuel consumption of 200 g/kWh on a fuel of lower calorific value 42 700 kJ/kg. Its brake thermal efficiency (in per cent), to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 42.2

    1 kWh = 3600 kJ; fuel energy per kWh = 0.2 × 42 700 = 8540 kJ; η = 3600/8540 = 0.4215 = 42.2%. Taking 1 kWh as 1000 kJ instead of 3600 kJ gives 11.7%.
  4. In the scavenging system used in modern low-speed two-stroke crosshead engines, the scavenge air enters through ports round the bottom of the liner and the exhaust leaves through

    1. a single exhaust valve in the cylinder cover — uniflow scavenging
    2. ports directly opposite the air ports — cross scavenging
    3. ports above the air ports on the same side — loop scavenging
    4. the crankcase — crankcase scavenging
    Show answer

    Answer: A — a single exhaust valve in the cylinder cover — uniflow scavenging

    In uniflow scavenging the air sweeps straight up the cylinder from the bottom ports to the exhaust valve, giving the most complete exchange with the least mixing, and it allows long strokes. Cross and loop scavenging keep both sets of ports at the bottom.
  5. Which statements about marine diesel engines are correct?

    1. a crosshead engine lubricates its cylinders separately from its crankcase
    2. a turbocharger’s compressor is driven by a turbine running on the exhaust gas
    3. a crankcase oil-mist detector warns of the conditions that lead to a crankcase explosion
    4. a medium-speed engine is normally coupled directly to a large fixed-pitch propeller without a gearbox
    Show answer

    Answer: A — a crosshead engine lubricates its cylinders separately from its crankcase; B — a turbocharger’s compressor is driven by a turbine running on the exhaust gas; C — a crankcase oil-mist detector warns of the conditions that lead to a crankcase explosion

    The crosshead’s diaphragm and gland separate cylinder from crankcase, so cylinder oil and system oil are different; the turbocharger is exhaust-driven; oil mist from a hot spot is the precursor of a crankcase explosion. A medium-speed engine turns far faster than an efficient large propeller, so it drives through a reduction gearbox.
  6. The annex of MARPOL that regulates air pollution from ships, including sulphur oxides, nitrogen oxides and energy efficiency, is

    1. Annex VI
    2. Annex I
    3. Annex IV
    4. Annex V
    Show answer

    Answer: A — Annex VI

    Annex VI covers air pollution and, since its energy-efficiency chapter, the EEDI and SEEMP. Annex I is oil, Annex IV sewage and Annex V garbage.
  7. Which statement correctly distinguishes the EEDI from the SEEMP?

    1. the EEDI is a design index of CO₂ per unit transport work for a new ship; the SEEMP is an operational plan for improving efficiency in service
    2. the EEDI limits the sulphur content of fuel; the SEEMP limits oil in bilge discharge
    3. both are the same index measured at different times
    4. the SEEMP applies only to new ships and the EEDI to all ships
    Show answer

    Answer: A — the EEDI is a design index of CO₂ per unit transport work for a new ship; the SEEMP is an operational plan for improving efficiency in service

    EEDI: attained design value in g CO₂ per tonne-mile, not above a phased required value, for new ships. SEEMP: a ship-specific management plan for operation, carried by existing ships too. Sulphur limits and the 15 ppm bilge rule are separate MARPOL provisions.
  8. In a Rankine cycle, steam enters the turbine at 3200 kJ/kg and leaves at 2200 kJ/kg; the condensate leaves the condenser at 190 kJ/kg and the feed pump does 5 kJ/kg of work on it. The cycle efficiency (in per cent), to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 33.1

    h₄ = 190 + 5 = 195; net work = (3200 − 2200) − 5 = 995 kJ/kg; heat supplied = 3200 − 195 = 3005 kJ/kg; η = 995/3005 = 0.3311 = 33.1%. Ignoring the pump work gives 1000/3010 = 33.2%; dividing by 3200 alone gives 31.1%.
  9. A simple Rankine cycle has turbine inlet and exit enthalpies of 3400 and 2300 kJ/kg and a feed-water enthalpy entering the boiler of 200 kJ/kg; pump work is neglected. Its thermal efficiency (in per cent), to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 34.4

    η = (h₁ − h₂)/(h₁ − h₄) = 1100/3200 = 0.34375 = 34.4%. Dividing by the inlet enthalpy 3400 alone gives 32.4%.
  10. A Curtis stage, in which steam expands in one set of nozzles and its velocity is absorbed by two rows of moving blades with a row of fixed guide blades between them, is an example of

    1. velocity compounding
    2. pressure compounding
    3. 50% reaction staging
    4. reheating
    Show answer

    Answer: A — velocity compounding

    The whole pressure drop is in the nozzles and the velocity is absorbed in steps — velocity compounding. Pressure compounding (Rateau) divides the pressure drop among several nozzle stages; reaction blading drops pressure in the moving blades too.
  11. Which statements about marine steam turbines are correct?

    1. labyrinth glands supplied with gland steam stop air leaking into the LP turbine
    2. reheat keeps the steam drier at the turbine exhaust
    3. a tilting-pad thrust bearing locates the rotor axially
    4. in an impulse turbine most of the stage pressure drop occurs in the moving blades
    Show answer

    Answer: A — labyrinth glands supplied with gland steam stop air leaking into the LP turbine; B — reheat keeps the steam drier at the turbine exhaust; C — a tilting-pad thrust bearing locates the rotor axially

    Gland steam seals the LP end against air and the HP end against leakage; reheat raises the exhaust dryness; the thrust bearing fixes the rotor’s axial position. In an impulse stage the pressure drops in the NOZZLES, and the moving blades work at nearly constant pressure.
  12. In an ideal combined cycle, a gas turbine of efficiency 35% passes all its rejected heat to a steam cycle of efficiency 30%. The combined efficiency (in per cent), to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 54.5

    η = η_GT + η_ST(1 − η_GT) = 0.35 + 0.30 × 0.65 = 0.35 + 0.195 = 0.545 = 54.5%. Adding the two efficiencies gives 65%, which counts the gas turbine’s input twice.
  13. Which statements about marine gas-turbine propulsion are correct?

    1. it has a much higher power-to-weight ratio than a diesel of the same power
    2. its specific fuel consumption rises steeply at part load
    3. it cannot reverse, so a controllable-pitch propeller or reversing gear is needed
    4. it burns heavy residual fuel as readily as a low-speed diesel
    Show answer

    Answer: A — it has a much higher power-to-weight ratio than a diesel of the same power; B — its specific fuel consumption rises steeply at part load; C — it cannot reverse, so a controllable-pitch propeller or reversing gear is needed

    Gas turbines are light and compact, efficient only near full power, and uni-directional. They need clean distillate fuel; residual fuel’s ash and vanadium would foul and corrode the hot turbine blades, which is exactly where the low-speed diesel has the advantage.
  14. In a marine pressurised-water reactor, the power is controlled and the reactor shut down mainly by

    1. control rods of neutron-absorbing material
    2. the steam generator
    3. the biological shield
    4. the turbine governor alone
    Show answer

    Answer: A — control rods of neutron-absorbing material

    Inserting boron, cadmium or hafnium rods absorbs neutrons and reduces the chain reaction; withdrawing them raises it. The steam generator transfers heat, the shield protects the crew, and the turbine governor controls steam demand, not the fission rate.
  15. A boiler produces 10 000 kg/h of steam of enthalpy 2800 kJ/kg from feed water of enthalpy 420 kJ/kg while burning 800 kg/h of fuel of calorific value 42 000 kJ/kg. Its efficiency (in per cent), to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 70.8

    η = ṁ_s(h_s − h_f)/(ṁ_f CV) = 10 000 × 2380/(800 × 42 000) = 23.8 × 10⁶/33.6 × 10⁶ = 0.708 = 70.8%. Using h_s without subtracting the feed enthalpy gives 83.3%.
  16. In a fire-tube boiler such as the Scotch boiler,

    1. the hot combustion gases pass through tubes surrounded by water
    2. water passes through tubes surrounded by hot gases
    3. steam is raised faster than in a water-tube boiler
    4. very high pressures are easily reached
    Show answer

    Answer: A — the hot combustion gases pass through tubes surrounded by water

    In a fire-tube boiler the fire (gas) is in the tubes and the large shell holds the water, so it steams slowly and its large shell limits the pressure. Water in the tubes is the water-tube boiler, which steams quickly and reaches high pressure.
  17. Hydrazine or sodium sulphite is dosed into boiler feed water in order to

    1. remove residual dissolved oxygen and so prevent corrosion
    2. raise the calorific value of the fuel
    3. convert hardness salts into a removable sludge
    4. increase the dissolved solids to stop foaming
    Show answer

    Answer: A — remove residual dissolved oxygen and so prevent corrosion

    They are oxygen scavengers, completing the deaerator’s work so that no oxygen reaches the hot steel. Hardness is conditioned into sludge by phosphate treatment; foaming is prevented by LOWERING dissolved solids by blow-down.
  18. An engine and propeller are modelled as two rotors of polar moments of inertia 100 kg·m² and 400 kg·m² joined by a shaft of torsional stiffness 2 × 10⁶ N·m/rad. The natural frequency of torsional vibration (in Hz), to two decimal places, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 25.16

    ω = √[k(I₁ + I₂)/(I₁I₂)] = √[2 × 10⁶ × 500/40 000] = √25 000 = 158.11 rad/s; f = 158.11/(2π) = 25.16 Hz. Using √(k/I₁) for the lighter rotor alone gives 22.51 Hz; reporting ω gives 158.11.
  19. A propulsion shafting system has a torsional natural frequency of 25 Hz. The engine speed (in rpm) at which the 6th-order excitation is in resonance with it is ____.

    Numerical answer — type the value.

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    Answer: 250

    25 Hz = 1500 cycles/min; the 6th order gives 6 cycles per revolution, so N = 1500/6 = 250 rpm. Multiplying instead of dividing gives 9000 rpm; forgetting the 60 gives 4.2.
  20. A ship with a fixed-pitch propeller that follows the propeller law reduces its shaft speed to 80% of the original. The power required, as a percentage of the original, to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 51.2

    P ∝ N³: 0.8³ = 0.512 = 51.2%. Torque ∝ N² would give 64%, which is the torque, not the power.
  21. A standby generator has a mean time between failures of 950 h and a mean time to repair of 50 h. Its inherent availability, to two decimal places, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 0.95

    A = MTBF/(MTBF + MTTR) = 950/1000 = 0.95. Dividing MTTR by MTBF gives 0.053, the ratio of repair time to running time.
  22. Under MARPOL, oily bilge water processed by an oily-water separator may be discharged overboard only if its oil content is below

    1. 15 ppm
    2. 150 ppm
    3. 1500 ppm
    4. 1 ppm
    Show answer

    Answer: A — 15 ppm

    The limit for machinery-space bilge water is 15 parts per million, enforced by an oil-content monitor that stops the discharge automatically above it.
  23. The essential difference between a purifier and a clarifier in a fuel-oil centrifuge is that

    1. the purifier separates water and solids and has a water outlet set by a gravity disc; the clarifier separates solids only
    2. the clarifier separates water and the purifier separates solids only
    3. the purifier works without rotation
    4. the clarifier is used only for lubricating oil
    Show answer

    Answer: A — the purifier separates water and solids and has a water outlet set by a gravity disc; the clarifier separates solids only

    A purifier is a three-phase separator — oil, water and sludge — whose gravity disc positions the oil–water interface; a clarifier has no water outlet and removes solids, often after a purifier in series. Both are centrifuges and both serve fuel and lubricating oil.
  24. A ship’s fresh-water generator commonly produces fresh water by

    1. boiling sea water under vacuum using the main engine’s jacket-water heat
    2. freezing sea water and melting the ice
    3. filtering sea water through sand
    4. condensing moisture from the engine-room air
    Show answer

    Answer: A — boiling sea water under vacuum using the main engine’s jacket-water heat

    Under vacuum sea water boils at a temperature low enough for the jacket cooling water (at about 80–90 °C) to supply the heat, so the fresh water is made from waste heat. Reverse osmosis is the main alternative; sand filtration does not remove salt.