Air refrigeration cycles: An air refrigerator (as used in aircraft) operates on which idealized cycle?
-
AReversed Carnot cycle
-
BBell–Coleman (reversed Brayton) cycle
-
CBoth (a) and (b)
-
DNone of these
-
EReversed Rankine cycle
Answer
Correct Answer: Bell–Coleman (reversed Brayton) cycle
Explanation
Introduction / Context:Aircraft air-cycle machines and simple air refrigerators use the working fluid (air) directly. Their thermodynamic model is the Bell–Coleman or reversed Brayton cycle, not the vapour-compression cycle used with refrigerants like ammonia or R-134a.
Given Data / Assumptions:
- Working fluid is air (treated as an ideal gas).
- Processes are ideally isentropic compression/expansion with heat exchange at constant pressure.
- Engine bleed air or ram air often serves as the heat source/sink.
Concept / Approach:The Bell–Coleman cycle consists of two isentropic processes (compression and expansion in a turbine) and two constant-pressure heat transfer processes (cooling after compression and heating after expansion), producing refrigeration by expansion work.
Step-by-Step Solution:
List the ideal steps: 1–2 isentropic compression; 2–3 constant-pressure heat rejection; 3–4 isentropic expansion; 4–1 constant-pressure heat absorption (refrigeration).Cooling effect occurs during 4–1 as cold air absorbs heat from the space.This directly matches the reversed Brayton layout.Hence, the correct cycle is Bell–Coleman.Verification / Alternative check:Temperature–entropy diagrams and p–h surrogates for air show the characteristic Brayton rectangles/curves, not the dome typical of vapour systems.
Why Other Options Are Wrong:
- Reversed Carnot is the theoretical upper limit, but not the practical air-cycle model.
- “Both” is incorrect because the standard air refrigerator is specifically the reversed Brayton.
- Reversed Rankine applies to vapour-compression, not air-cycle machines.
Common Pitfalls:Confusing “reversed” with “Carnot” generically; always map processes to the actual hardware (compressor, cooler, turbine, heat exchanger).
Final Answer:Bell–Coleman (reversed Brayton) cycle