Thermodynamics & Heat Engines (Chief level)
At Class I the thermodynamics question is rarely a cycle for its own sake. It is a plant, a fuel bill and a decision — and the calculation is there to justify the decision.
What the paper asks
Full heat balance across the propulsion plant; waste heat recovery quantity and what it can usefully drive; combined cycle and turbo-generator output; boiler and economiser performance; the effect of ambient and charge air conditions on output; and the economic case for an efficiency measure expressed in fuel per day.
The concepts, in order
The heat balance is the argument. Fuel energy in, shaft work out, and the balance split between exhaust gas, jacket water, charge air cooling, lubricating oil and radiation. Chief-level answers use it to size a waste heat recovery plant or to say what a proposed measure is actually worth per day at sea.
Waste heat recovery. The exhaust stream is large but low grade; the recoverable fraction is bounded at the cold end by the acid dew point, which is why exhaust gas outlet temperature has a floor and why low sulphur operation changes where that floor sits. A power turbine takes gas ahead of the economiser and competes with it for the same energy.
Ambient effects. Rated output is quoted at ISO reference conditions. Higher air inlet temperature reduces air density and mass flow; higher sea water temperature raises charge air and scavenge temperature. Comparing a tropical performance report against a trials figure without correcting for both is the commonest error in a real performance dispute.
Second law thinking. Efficiency ceilings come from temperature ratios, and no arrangement of heat exchangers beats them. This is the reasoning behind combining a diesel engine with a steam turbine driving a generator rather than trying to extract more work from the engine itself.
Turning energy into money. A saving in kW becomes tonnes of fuel per day through SFOC and running hours; that is the form a superintendent's question takes, and the form the answer should take.
Where marks are lost
- Comparing performance figures without correcting to reference conditions. Air temperature, sea temperature and calorific value all shift the result.
- Recovering exhaust heat past the acid dew point. The cold end corrodes, and the saving is lost several times over.
- Quoting efficiency without stating the boundary. Engine, plant or ship — the three give different numbers.
- Leaving the answer in kW when the question is commercial. Convert to tonnes per day.
- Fuel in = work + exhaust + jacket + charge air + radiation.
- Acid dew point sets the exhaust cold-end limit.
- Correct to ISO conditions before comparing anything.
- kW saved × hours × SFOC = tonnes of fuel.
- State the boundary of any efficiency you quote.