Constructal law truncation criterion insights for CPC

Nonimaging optics, guided by the constructal law, revolutionizes solar concentrator design. This study explores constructal law application to devise a new truncation criterion for Compound Parabolic Concentrators (CPC). We aim to demonstrate the constructal law's effectiveness in optimizing CPC design. Formalizing its application introduces a leading truncation criterion. By evaluating geometrical, energy, and entropy-related parameters, we establish a constructal truncation criterion aligned with Rincon's, incorporating novel dimensions like the "Mora number" linking entropy and étendue scattering. Validation involves ray-tracing and experimental alignment of solar cooker designs. Constructal optimization reduces CPC height, decreases étendue scattering, minimizes entropy generation, and enhances energy transfer. These outcomes are validated through rigorous ray-tracing, signaling significant advancements in solar concentrator efficiency. Our work offers a comprehensive constructal perspective on nonimaging optics, promising heightened efficiency, reduced manufacturing costs, and improved optical uniformity for solar energy applications.