Public technical companion
Thermal Matching in Non-Isothermal Thermodynamic Cycles
Paired-Interface Modelling Demonstrated with Heat Pumps
Document purpose
This focused technical companion develops the paired-interface representation used to discuss Thermal Matching within the CarnotX programme. It places the boundary-temperature trajectories of the thermodynamic medium and external thermal system on a common temperature–heat-duty basis.
The document explains how Thermal Matching may act on trajectory shape, temperature level, heat-duty distribution or combinations of these. It also separates this proposed framework-specific method from improvement attributable solely to increased heat-transfer conductance.
Scientific-status boundary. The companion combines established thermodynamic principles and specialist temperature-profile matching concepts with a proposed CarnotX paired-interface interpretation. Its cases are illustrative engineering representations, not equipment simulations. Independent scientific and experimental validation is not claimed.
What this document addresses
- paired boundary-temperature trajectories at high- and low-side heat-transfer interfaces;
- isothermal and non-isothermal interactions;
- trajectory shape, temperature level and heat-duty distribution;
- Thermal Matching versus conductance enhancement;
- finite-conductance configurations versus the reversible pointwise-coincidence limit;
- interface-level diagnostics and their distinction from cycle-level benchmark work consequences.
Relationship to the Formal Core
This companion provides a focused engineering interpretation of one subject within the wider programme. The Formal Core remains the controlling source for definitions, reversible-cycle construction, qualification conditions and benchmark-relative lost or excess work.
Thermal_Matching_Non_Isothermal_Cycles_v1.9.pdfProvided for document identification and version control.Position within the programme
A technical companion, not a replacement for the Formal Core
The document sits between the public impact and application context and the controlled scientific source document. It makes one engineering topic more concrete while preserving the Formal Core's methodological and scientific authority.
The document does not claim priority for temperature-profile matching itself, establish a universal scalar Thermal-Matching metric or demonstrate independently validated performance gains.