Affiliation:
1. Department of Architectural Composition, University of Seville, 41012 Sevilla, Spain
Abstract
Triangles are an ever-present feature in nature, which the building construction industry duly echoes. However, an exact expression intended to supply the radiant field of any triangle in an upright or inclined position has not been identified by previous research. In this case, the author has been able to solve, via 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 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 emissions. This implied a lengthy and inexact procedure that induced many errors and consumed computing time. We can now avoid all these former downsides due to the advances hereby presented. As this novel expression can be converted into an algorithm, it will be advantageously employed for simulation. This significant finding dovetails into the intricate puzzle of radiated heat and we believe that its consequences will greatly affect the conception and design of HVAC devices, aircraft manufacturing and specifically the building or lighting industries, among others.
Subject
Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science
Reference46 articles.
1. Holman, J.P. (1995). Heat Transfer, Mac Graw Hill. [7th ed.].
2. Cabeza-Lainez, J. (2006). Fundamentals of Luminous Radiative Transfer: An Application to the History and Theory of Architectural Design, Crowley Editions.
3. Moon, P.H., and Spencer, D.E. (1981). The Photic Field, The MIT Press.
4. Subramaniam, S., Hoffmann, S., Thyageswaran, S., and Ward, G. (2022). Calculation of View Factors for Building Simulations with an Open-Source Raytracing Tool. Appl. Sci., 12.
5. Modest, M.F. (2013). Radiative Heat Transfer, Academic Press. [3rd ed.].