Advanced Thermodynamics & Heat Transfer
Class II moves from knowing a cycle to accounting for it. Every mark here is an energy balance: what went in as fuel, what left as work, and where the rest went.
What the paper asks
Cycle efficiency and work output from given pressures and temperatures; steam plant calculations with steam tables; heat exchanger duty and terminal temperatures; boiler efficiency by the direct and indirect methods; exhaust gas economiser performance; and the reasoning behind superheating, feed heating and waste heat recovery.
The concepts, in order
The energy balance is the method. Fuel energy in equals shaft work plus jacket water plus exhaust gas plus radiation. A modern two-stroke turns roughly half of it into work, and the examiner's questions are usually about the other half — which is where waste heat recovery, the economiser and the scavenge air cooler all live.
Cycles. The diesel and dual cycles differ only in how heat is added — at constant pressure, or partly at constant volume. Efficiency rises with compression ratio and falls as the cut-off ratio grows, which is why efficiency drops as an engine is loaded up at fixed revolutions.
Steam plant. Rankine efficiency improves with higher boiler pressure, higher superheat and lower condenser pressure. Superheat matters twice: it lifts efficiency and it keeps the turbine exhaust dry enough not to erode the last-stage blading.
Heat exchangers. Q = U·A·LMTD, with counterflow always giving the larger mean temperature difference for the same terminal temperatures. Fouling shows up as a falling U — which is why a rising terminal temperature difference on a cooler is the first evidence of a dirty tube stack, before any alarm sounds.
Boiler efficiency. The direct method divides steam heat by fuel heat and needs accurate flow measurement. The indirect method sums the losses — dry flue gas, moisture, radiation, unburnt — and subtracts from 100. The indirect method is preferred on board because it also tells you which loss to attack.
Where marks are lost
- Gauge pressure used in a cycle calculation. Thermodynamics runs on absolute pressure and absolute temperature throughout.
- Enthalpy taken for saturated steam when the steam is superheated. Read the superheat table at both pressure and temperature.
- Efficiency quoted against the wrong calorific value. Marine practice normally uses the lower calorific value; state which one you used.
- Counterflow and parallel flow LMTD interchanged. Check which stream enters at which end before writing the formula.
- Absolute pressure, absolute temperature — every time.
- η rises with compression ratio, falls with cut-off ratio.
- Q = U·A·LMTD; a rising terminal ΔT means fouling.
- Indirect boiler efficiency = 100 − sum of the losses.
- Roughly 50 % work, 25 % exhaust, 15 % jacket & charge air on a modern two-stroke.