Restrictions on linear heat capacities from Joule-Brayton maximum-work cycle efficiency

Area of Science:

• Thermodynamics
• Physical Chemistry

Background:

• The Joule-Brayton cycle is a thermodynamic cycle with applications in refrigeration and gas liquefaction.
• Heat capacity is a fundamental property of matter, crucial for understanding energy transfer.
• The Carnot theorem sets the theoretical limit for the efficiency of heat engines.

Purpose of the Study:

• To determine the accessible value range for heat capacity coefficients (a and b) using the Joule-Brayton cycle.
• To apply the Carnot theorem for analyzing thermodynamic cycles.
• To establish the significance of Curzon-Ahlborn efficiency in this context.

Main Methods:

• Utilizing the Joule-Brayton cycle as a thermodynamic model.
• Applying the Carnot theorem to derive constraints on heat capacity coefficients.
• Analyzing the performance of various gases as working fluids.

Main Results:

• The study defines the accessible range for coefficients 'a' and 'b' in the heat capacity equation C(p) = a + bT.
• It confirms the applicability of the Carnot theorem in this thermodynamic analysis.
• The research highlights the importance of the Curzon-Ahlborn efficiency for the Joule-Brayton cycle.

Conclusions:

• The Joule-Brayton cycle, analyzed with the Carnot theorem, provides a method to determine heat capacity coefficient ranges.
• The Curzon-Ahlborn efficiency plays a significant role in optimizing such cycles.
• This research contributes to a deeper understanding of thermodynamic properties and cycle performance.