11.1 Vapor-compression refrigeration cycle

4 min readjuly 30, 2024

Vapor- refrigeration cycles are the backbone of modern cooling systems. They use a clever combination of pressure changes and phase transitions to move heat from where it's not wanted to where it's okay to dump it.

The cycle has four main parts: a , , , and . Each plays a crucial role in manipulating the refrigerant's state to achieve the desired cooling effect efficiently.

Vapor-compression refrigeration cycle

Components and their roles

  • A vapor-compression refrigeration cycle consists of four main components: compressor, condenser, expansion valve, and evaporator
  • The compressor increases the pressure and temperature of the refrigerant vapor, which then enters the condenser
  • In the condenser, the high-pressure, high-temperature refrigerant vapor releases heat to the surroundings and condenses into a liquid (air-cooled or water-cooled condenser)
  • The high-pressure liquid refrigerant passes through an expansion valve, where its pressure and temperature are reduced (thermostatic expansion valve or capillary tube)
  • The low-pressure, low-temperature refrigerant enters the evaporator, where it absorbs heat from the refrigerated space and evaporates into a vapor (finned-tube or plate-type evaporator)

Refrigerant flow and phase changes

  • The refrigerant undergoes phase changes and pressure variations as it circulates through the system, absorbing heat from the low-temperature region and rejecting it to the high-temperature region
  • The low-pressure refrigerant vapor returns to the compressor, completing the cycle
  • The refrigerant absorbs heat and evaporates in the evaporator, then releases heat and condenses in the condenser
  • The expansion valve controls the refrigerant flow and pressure drop between the condenser and evaporator ( or refrigerant)

Thermodynamic performance analysis

Pressure-enthalpy diagrams

  • Pressure- (P-h) diagrams are used to represent the thermodynamic states of the refrigerant throughout the vapor-compression refrigeration cycle
  • The consists of four main regions: subcooled liquid, saturated liquid-vapor mixture, superheated vapor, and supercritical fluid
  • The compressor work is represented by the change in enthalpy between the inlet and outlet of the compressor on the P-h diagram
  • The throttling process in the expansion valve is represented by a constant enthalpy line on the P-h diagram

Heat transfer processes

  • The heat rejection in the condenser is represented by the change in enthalpy between the inlet and outlet of the condenser on the P-h diagram
  • The heat absorption in the evaporator is represented by the change in enthalpy between the inlet and outlet of the evaporator on the P-h diagram
  • The area under the process lines on the P-h diagram represents the in the condenser and evaporator (kJ/kg)
  • The P-h diagram helps visualize the heat transfer processes and the work input required for the refrigeration cycle (R-134a or R-410A P-h diagrams)

COP and refrigeration capacity

Coefficient of Performance (COP)

  • The is a measure of the efficiency of a refrigeration system, defined as the ratio of the heat removed from the low-temperature region to the work input to the compressor
  • COP = (Heat removed from the low-temperature region) / (Work input to the compressor)
  • The heat removed from the low-temperature region is equal to the change in enthalpy across the evaporator
  • The work input to the compressor is equal to the change in enthalpy across the compressor
  • A higher COP indicates a more efficient refrigeration system (typical COPs range from 2 to 5)

Refrigeration capacity

  • Refrigeration capacity is the rate at which heat is removed from the refrigerated space, typically measured in watts (W) or tons of refrigeration (TR)
  • Refrigeration capacity = (Mass flow rate of refrigerant) × (Change in enthalpy across the evaporator)
  • The mass flow rate of the refrigerant can be determined using the compressor specifications and the refrigerant properties
  • A larger refrigeration capacity means the system can remove more heat from the refrigerated space (1 TR = 3.5 kW)

Efficiency factors

Temperature difference and refrigerant selection

  • The temperature difference between the condenser and the evaporator affects the COP of the cycle. A smaller temperature difference leads to a higher COP
  • The choice of refrigerant influences the efficiency of the cycle. Refrigerants with higher critical temperatures and lower global warming potential (GWP) are preferred (R-134a, R-410A, or R-744)
  • The isentropic efficiency of the compressor affects the overall efficiency of the cycle. Higher isentropic efficiency results in less work input required for a given pressure ratio

Heat exchanger effectiveness and system maintenance

  • The effectiveness of the condenser and evaporator heat exchangers impacts the efficiency of the cycle. Higher effectiveness leads to better heat transfer and improved cycle performance
  • Pressure drops in the system components, such as the condenser, evaporator, and connecting pipes, reduce the efficiency of the cycle by increasing the compressor work required
  • Proper insulation of the refrigerated space and the connecting pipes minimizes heat gain and improves the overall efficiency of the refrigeration system
  • Regular maintenance, including cleaning the heat exchangers, checking for refrigerant leaks, and ensuring proper lubricant levels, helps maintain the efficiency of the vapor-compression refrigeration cycle over time (air filters, condenser coils, and evaporator fins)

Key Terms to Review (22)

Air conditioning systems: Air conditioning systems are technology setups designed to regulate indoor climate by controlling temperature, humidity, and air quality. These systems often utilize the vapor-compression refrigeration cycle to absorb heat from the indoor environment and release it outside, creating a cooler and more comfortable living or working space. By transferring heat away from the interior, these systems not only enhance comfort but also contribute to improved air quality and energy efficiency.
Carnot Efficiency: Carnot efficiency is the maximum possible efficiency of a heat engine operating between two temperature reservoirs, defined by the equation $$ ext{Efficiency} = 1 - \frac{T_C}{T_H}$$, where $$T_C$$ is the absolute temperature of the cold reservoir and $$T_H$$ is the absolute temperature of the hot reservoir. This concept highlights the ideal performance of reversible processes and serves as a benchmark for real-world engines. It emphasizes that no real engine can exceed this efficiency, which is crucial when comparing different thermodynamic cycles and systems.
Coefficient of performance (COP): The coefficient of performance (COP) is a measure of the efficiency of a heating or cooling system, defined as the ratio of useful heating or cooling provided to the work input required to produce that effect. A higher COP indicates a more efficient system, whether it be for refrigeration, heat pumping, or air conditioning applications. Understanding COP is crucial in evaluating the performance of different thermodynamic cycles and systems used for temperature control.
Compression: Compression refers to the process of reducing the volume of a substance while increasing its pressure, often resulting in an increase in temperature. In various thermodynamic cycles, such as those involving internal combustion engines or refrigeration systems, compression plays a critical role in the efficiency and performance of the system. It affects work output, energy transfer, and the overall thermodynamic behavior of gases during their cycle.
Compressor: A compressor is a mechanical device that increases the pressure of a gas by reducing its volume, commonly used in refrigeration and air conditioning systems to circulate refrigerants. This essential component enhances the efficiency of thermodynamic cycles by compressing low-pressure gas into high-pressure gas, facilitating heat transfer and energy conversion processes.
Condensation: Condensation is the process where a vapor changes into a liquid when it loses energy, often due to a drop in temperature or an increase in pressure. This phase change is crucial in various natural and engineered systems, as it plays a significant role in the formation of clouds, the functioning of refrigeration systems, and the calculations of thermodynamic cycles. Understanding condensation helps in analyzing phase diagrams, optimizing refrigeration cycles, and applying the Clapeyron equation to relate pressure and temperature during phase changes.
Condenser: A condenser is a heat exchanger used to condense vapor into liquid by removing heat from the vapor, usually through contact with a cooler surface or fluid. This process is crucial in various thermodynamic cycles and systems, enabling efficient heat transfer and phase change essential for energy conversion, refrigeration, and air conditioning.
Enthalpy: Enthalpy is a thermodynamic property defined as the sum of a system's internal energy and the product of its pressure and volume, represented by the equation $$H = U + PV$$. This concept is crucial for understanding energy transfer in processes involving heat and work, especially in closed systems, where enthalpy changes can indicate how much energy is absorbed or released during physical and chemical transformations.
Entropy: Entropy is a measure of the disorder or randomness in a system, reflecting the degree of energy dispersal at a specific temperature. It connects to fundamental concepts like the direction of processes, equilibrium states, and the efficiency of energy transformations in various thermodynamic cycles.
Evaporation: Evaporation is the process where molecules at the surface of a liquid gain enough energy to escape into the gas phase. This phenomenon occurs at any temperature, as long as the molecules possess sufficient kinetic energy. Evaporation plays a crucial role in phase changes, as it allows liquids to transform into vapor, which is significant in various natural and technological processes, including those found in refrigeration cycles.
Evaporator: An evaporator is a heat exchanger that facilitates the phase change of a refrigerant from liquid to vapor, absorbing heat from the surroundings in the process. This essential component plays a critical role in refrigeration and air conditioning systems by removing heat from a space or substance, allowing for effective temperature control and cooling. The evaporator's operation directly influences the efficiency of refrigeration cycles and heat pumps.
Expansion Valve: An expansion valve is a crucial component in refrigeration and air conditioning systems that regulates the flow of refrigerant into the evaporator by reducing its pressure. By allowing the high-pressure liquid refrigerant to expand and drop in pressure, it facilitates a change in state from liquid to vapor, enabling efficient heat absorption during the refrigeration cycle. This function is essential for maintaining the desired cooling effect in systems like refrigerators and heat pumps.
First Law of Thermodynamics: The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another, which means the total energy of an isolated system remains constant. This principle underlies various processes, cycles, and energy interactions that involve heat, work, and mass transfer in different systems.
Heat Transfer: Heat transfer is the process of energy moving from a warmer object to a cooler one due to a temperature difference. This phenomenon plays a crucial role in various thermodynamic processes, affecting how systems interact with their surroundings and how energy is conserved or transformed within them.
Industrial refrigeration: Industrial refrigeration refers to the process of removing heat from a designated area using mechanical systems, primarily to preserve food, cool industrial processes, or maintain optimal operating conditions in various facilities. This technology is critical in industries like food processing, pharmaceuticals, and chemical production, where precise temperature control is necessary to ensure product quality and safety.
P-h diagram: A p-h diagram, or pressure-enthalpy diagram, is a graphical representation used to depict the thermodynamic properties of substances, particularly in the context of refrigeration cycles. It illustrates the relationship between pressure (p) and enthalpy (h), allowing engineers to visualize the changes in state and energy during processes such as vapor compression. This diagram is essential for analyzing performance and efficiency in refrigeration systems, making it a key tool for understanding the vapor-compression refrigeration cycle.
R-134a: r-134a, also known as 1,1,1,2-tetrafluoroethane, is a hydrofluorocarbon (HFC) used primarily as a refrigerant in various cooling applications. It is valued for its low ozone depletion potential and is commonly used in systems like vapor-compression refrigeration cycles, heat pumps, and air-conditioning systems due to its efficiency and effectiveness in heat transfer.
R-410a: R-410A is a hydrofluorocarbon (HFC) refrigerant blend used primarily in air conditioning and heat pump systems. It is known for its efficiency and effectiveness in transferring heat, making it a popular choice for modern refrigeration and cooling applications. R-410A operates at higher pressures than older refrigerants like R-22, contributing to improved energy efficiency and environmental performance, particularly in vapor-compression cycles.
Real vs. ideal cycles: Real vs. ideal cycles refer to the comparison between theoretical thermodynamic cycles, which assume perfect conditions and efficiencies, and actual cycles that account for real-world inefficiencies and losses. Ideal cycles are used as benchmarks for performance, helping to understand the maximum possible efficiency of a system, while real cycles incorporate factors like friction, heat loss, and non-ideal gas behavior, which can significantly impact performance.
Refrigeration Effect: The refrigeration effect is the amount of heat absorbed from a low-temperature reservoir by a refrigerating system to achieve cooling. It is a crucial concept in understanding how refrigeration cycles operate, particularly in the context of transferring heat from inside a space to the outside environment, making it essential for both vapor-compression and gas refrigeration processes.
Second Law of Thermodynamics: The Second Law of Thermodynamics states that the total entropy of an isolated system can never decrease over time, and it tends to increase, leading to the concept that energy transformations are not 100% efficient. This law establishes the directionality of processes, implying that certain processes are irreversible and energy has a quality that degrades over time, connecting tightly to concepts of heat transfer, work, and system analysis.
T-s diagram: A t-s diagram, or temperature-entropy diagram, is a graphical representation that illustrates the relationship between temperature and entropy for a thermodynamic system. This diagram is essential in visualizing phase changes, analyzing thermodynamic cycles, and understanding the efficiency of various processes in energy systems.
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