Cabeza-Lainez, J. Finding the Exact Radiative Field of Triangular Sources: Application for More Effective Shading Devices and Windows. Appl. Sci.2023, 13, 11318.
Cabeza-Lainez, J. Finding the Exact Radiative Field of Triangular Sources: Application for More Effective Shading Devices and Windows. Appl. Sci. 2023, 13, 11318.
Cabeza-Lainez, J. Finding the Exact Radiative Field of Triangular Sources: Application for More Effective Shading Devices and Windows. Appl. Sci.2023, 13, 11318.
Cabeza-Lainez, J. Finding the Exact Radiative Field of Triangular Sources: Application for More Effective Shading Devices and Windows. Appl. Sci. 2023, 13, 11318.
Abstract
Triangles are an ever present feature in nature, which the building construction industry duly echoes. However, an exact expression intended to offer the radiant field due to any triangle in an upright or inclined position had not been identified by previous research. In this case, the author has been able to solve by direct integration, the canonical expression of radiative transfer. This result alone confers a myriad of possibilities that had been inconceivable before, for studying in detail the three-dimensional heat transfer behavior of volumes and figures in which triangles do manifest, such as fins, windows, roof-gables and louvers of various kinds. Typically, shading devices, when tilted, give rise in their extremes to rhomboidal shapes which were difficult to take into account or had to be subject to discretization and subsequent Monte Carlo methods in order to perform an approximate calculation of their emission. This implied a lengthy and inexact procedure that induced many errors and consumed computing time. We can now avoid all the former downsides due to the advances hereby presented. As the novel expression can be converted into an algorithm it will be advantageously employed for simulation. This significant finding dovetails in the intricate puzzle of radiated heat and we believe that their consequences will greatly affect the conception and design of HVAC devices, aircraft manufacturing and specifically building or lighting industries among others.
Keywords
Triangular geometry. Radiative Heat Transfer; Form Factor Calculation Tools; Radiant interchanges. Design of radiators. Assessment and construction of LED emitters.
Subject
Engineering, Energy and Fuel Technology
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.
