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 (W), and no heat (Q) 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 (W): Energy transferred by a force F over a distance s.
- Formula: W=F×s
- Units: Newton-metres (Nm) or Joules (J), where 1J=1kgm2s−2.
- Heat (Q): Energy transferred due to a temperature difference.
- Power (P): The rate at which energy (E) is transferred.
- Formula: P=tE
- Unit: Watt (W), where 1W=1Js−1.
- Efficiency (n): The ratio of useful work output to total heat input.
- Formula: η=QinW×100%
- Energy Signs: Positive for energy entering a system (+Q, +W) and negative for energy leaving (−Q, −W).
Heat Engines and Thermodynamics
- Heat Engine: A system that converts heat into work (e.g., steam, petrol, or diesel engines).
- Energy Balance: ΔE=Q−W. In stable operation (constant temperature), ΔE=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:
- Intake stroke: Petrol-air mixture drawn in.
- Compression stroke: Mixture compressed.
- Combustion/Power stroke: Ignition pushes the piston down.
- 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=WQ
- Example: A 100W refrigerator removing 200W of heat has a COP=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 100kJ of work with 250kJ input loses 150kJ as heat (Efficiency = 40%).
- A 120W refrigerator removing heat at 560W has a COP=4.67.