Konsep Inti
The dependence of thermophysical properties, such as thermal conductivity and specific heat capacity, on temperature does not significantly affect the qualitative behavior of active cooling in microvascular composites, but it can slightly impact the quantitative performance.
Abstrak
The content discusses the effect of temperature-dependent material properties on thermal regulation in microvascular composites. It starts by highlighting the importance of understanding how materials respond to changes in temperature, particularly for fiber-reinforced composites (FRCs) and their base constituents. The specific heat capacity and thermal conductivity of these materials can vary with temperature, which is crucial for designing efficient thermal regulation systems.
The paper then introduces a reduced-order mathematical model that describes the steady-state thermal regulation in thin vascular systems, considering temperature-dependent material properties. Using this model, the authors investigate three key questions:
Do the minimum and maximum principles hold for thermal regulation even under temperature-dependent material properties?
How do temperature-dependent material properties affect the two invariants (i.e., mean surface temperature and outlet temperature) under flow reversal?
How does accounting for temperature-dependent material properties affect the active cooling performance quantitatively?
The authors first present the results of thermal characterization experiments, showing the variations in specific heat capacity and thermal conductivity for CFRP, GFRP, and epoxy over the temperature range of 296.15-423.15 K. They then establish the minimum and maximum principles for the steady-state solutions, extending the previously known results for constant material properties to the case of temperature-dependent material properties.
Using numerical simulations, the authors address the last two questions. They find that the temperature-dependent material properties do not significantly influence the qualitative behavior, such as the minimum and maximum principles and the invariance of mean surface temperature and outlet temperature under flow reversal. However, the dependence slightly affects the quantitative results, such as the mean surface temperature and thermal efficiency.
The significance of this work is that it provides a deeper understanding of how vascular-based thermal regulation systems behave in realistic scenarios, where the thermophysical properties of the materials depend on temperature.
Statistik
The specific heat capacity of CFRP, GFRP, and epoxy varies significantly with temperature, as shown by the polynomial fits:
0.01θ + 0.418 (CFRP)
0.012θ^2 - 4.49θ + 1305.3 (GFRP)
0.01θ^2 - 3.79θ + 1293.2 (Epoxy)
The thermal conductivity of CFRP also varies with temperature, as described by the polynomial fit:
0.026θ^2 - 12.868θ + 2941.9
In contrast, the thermal conductivity of GFRP and epoxy remains relatively constant over the temperature range.