Thermodynamics, Heat Engines, and Cooling Systems Study Notes

Convection Cells and Adiabatic Processes

  • Convection cells drive land and sea breezes through rising low pressure (warm air) and falling high pressure (cool air).
  • Adiabatic Process: A process where energy is transferred only by work (WW), and no heat (QQ) enters or leaves the system.
  • Compression and Expansion: Work done on a gas (compression) reduces volume and increases temperature/pressure (e.g., a bicycle pump). Conversely, expansion (work done by the gas) decreases temperature.
  • Atmospheric Adiabatic Effects: Rising air expands and cools, leading to condensation and rainfall. Descending air compresses and warms, resulting in a rain shadow.

Work, Power, and Efficiency

  • Work (WW): Energy transferred by a force FF over a distance ss.
    • Formula: W=F×sW = F \times s
    • Units: Newton-metres (NmNm) or Joules (JJ), where 1J=1kgm2s21\,J = 1\,kg\,m^2\,s^{-2}.
  • Heat (QQ): Energy transferred due to a temperature difference.
  • Power (PP): The rate at which energy (EE) is transferred.
    • Formula: P=EtP = \frac{E}{t}
    • Unit: Watt (WW), where 1W=1Js11\,W = 1\,J\,s^{-1}.
  • Efficiency (n): The ratio of useful work output to total heat input.
    • Formula: η=WQin×100%\eta = \frac{W}{Q_{in}} \times 100\%
  • Energy Signs: Positive for energy entering a system (+Q+Q, +W+W) and negative for energy leaving (Q-Q, W-W).

Heat Engines and Thermodynamics

  • Heat Engine: A system that converts heat into work (e.g., steam, petrol, or diesel engines).
  • Energy Balance: ΔE=QW\Delta E = Q - W. In stable operation (constant temperature), ΔE=0\Delta E = 0.
  • External Combustion Engines: Fuel is burned outside the engine cylinder (e.g., James Watt's 1736-1819 steam engine; George Stephenson's 1781-1848 Rocket, built in 1829).
  • Internal Combustion Engines: Invented by Nikolaus Otto (1832-91) in 1867. Uses a four-stroke cycle:
    1. Intake stroke: Petrol-air mixture drawn in.
    2. Compression stroke: Mixture compressed.
    3. Combustion/Power stroke: Ignition pushes the piston down.
    4. Exhaust stroke: Burnt gases expelled.

Cooling Systems and Heat Pumps

  • Heat-Exchange System: Transfers heat between locations (e.g., capillaries in the human nasal passage).
  • Heat-Conversion System: Transforms internal energy (e.g., adiabatic cooling of air blown through a small mouth opening).
  • Heat Pump: Moves energy from a cooler area to a warmer area using external work (e.g., refrigerators, reverse-cycle air conditioners).
  • Coefficient of Performance (COP): Ratio of heat removed to work done.
    • Formula: COP=QWCOP = \frac{Q}{W}
    • Example: A 100W100\,W refrigerator removing 200W200\,W of heat has a COP=2.0COP = 2.0.
  • Refrigeration Cycle: Involves an Evaporator (absorbs heat), a Compressor (adds work, increases internal energy), a Condenser (radiates heat), and an Expansion valve (rapid adiabatic expansion for cooling).

Heat Exchange in Nature

  • Countercurrent Heat Exchanger: Overlapping arterial and venous blood vessels reduce heat loss.
  • In Biology: Whales use this in their tongues; wading birds use it in their legs. Emperor penguins use it in their feet to survive Antarctic winters while preventing tissue freezing.

Questions & Discussion

  • Professor Hui Tong Chua Interview: Discusses the development of cost-effective freshwater desalination plants and the use of low-grade waste heat.
  • Applications: Converting natural gas into hydrogen for non-polluting fuel cells or ammonia fertilizers to reduce carbon emissions and slow climate change.
  • Project Team: Hui Tong Chua, Alexander Christ (PhD student), Cameron Bruce McKenzie, and James Maddock (Final Year Project students).
  • Desalination Context: Particularly suitable for the arid inland areas of Australia.

Practice Problems (Set 2.5 Highlights)

  • Efficiency Loss: Modern internal combustion engines are roughly 35% efficient; the remaining 65% is lost as waste heat.
  • Calculations:
    • A heat engine performing 100kJ100\,kJ of work with 250kJ250\,kJ input loses 150kJ150\,kJ as heat (Efficiency = 40%).
    • A 120W120\,W refrigerator removing heat at 560W560\,W has a COP=4.67COP = 4.67.