Version 1
: Received: 13 February 2023 / Approved: 15 February 2023 / Online: 15 February 2023 (03:25:55 CET)
How to cite:
Cabeza-Lainez, J. A New Principle to Determine the Radiative Heat Transfer in Sphere-related Surfaces. Preprints2023, 2023020252. https://doi.org/10.20944/preprints202302.0252.v1.
Cabeza-Lainez, J. A New Principle to Determine the Radiative Heat Transfer in Sphere-related Surfaces. Preprints 2023, 2023020252. https://doi.org/10.20944/preprints202302.0252.v1.
Cite as:
Cabeza-Lainez, J. A New Principle to Determine the Radiative Heat Transfer in Sphere-related Surfaces. Preprints2023, 2023020252. https://doi.org/10.20944/preprints202302.0252.v1.
Cabeza-Lainez, J. A New Principle to Determine the Radiative Heat Transfer in Sphere-related Surfaces. Preprints 2023, 2023020252. https://doi.org/10.20944/preprints202302.0252.v1.
Abstract
The exact determination of radiative exchanges between solids and surfaces has been a long sought-for question in heat transfer science. Being the canonical equation that rules such phenomena, a fourfold integral, it is extremely difficult to obtain an accurate solution like a formula or abacus. Over the last thirty years, the author has tried to integrate the canonical expression by sundry procedures and they have published two books and a dozen of articles on the matter, recently by virtue of computational geometry and graphic algorithms as a new way to solve the finite-difference problems that arise on complex geometries. In architectural engineering curved radiant emitters are customary since antiquity, especially in domes and vaults and their oculus, However, a consistent procedure to handle them was not readily available. The principles that are described hereby based on Cabeza-Lainez’ first principle for spherical fragments offer a complete panorama on the manner in which surface sources related or contained in spheres can be interpreted and accounted for without resorting to integration. The main advance is that a variety of unexplained problems of radiative heat transfer, applicable to aerospace engineering, meteorological, architectural and medical sciences can be sorted out as exactly as quickly.
Keywords
radiative heat transfer; radiative exchanges; form factors; aerospace technology sustainability of curved geometries; retrofit of Architectural Heritage
Subject
PHYSICAL SCIENCES, Optics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
