Stefan–Boltzmann Radiation on Non‐convex Surfaces

Existence for a time-dependent heat equation with non-local radiation terms

“…Before we can move on to the existence proof, we have to analyse the properties of the integral operator K and have to solve integral equation (12) for . The proof of the following results can be found in [8,9].…”

“…Without loss of generality we may set C 4 "1. A more detailed description of this model can be found in [9].…”

An Instance Segmentation and Clustering Model for Energy Audit Assessments in Built Environments: A Multi-Stage Approach

“…Various U-value measurement-based methods have been used in the literature to estimate thermal performance. According to the Stefan–Boltzmann law, the radiative heat varies with the fourth power of temperature difference [ 49 ].…”

“…The U-value estimation for the external surface was carried out while considering the wind velocity using the following equation in [ 50 , 51 , 52 ] where v is the velocity of the external wind, denotes the external surface temperature, denotes the internal air temperature, and denotes the external air temperature. The radiative heat component is similar to the Stefan–Boltzmann equation [ 49 ] and the convective term is derived from Jargon’s formula [ 53 ].…”

Unique solvability of a stationary radiative‐conductive heat transfer problem in a system consisting of an absolutely black body and several semitransparent bodies

“…In the past 30 years, a large number of papers have been devoted to the solvability of complex heat transfer problems in radiation‐opaque or radiation‐semitransparent materials (cf. other works 16–47,48–64 ). Note that, in the literature, 46–51,53,59–64 the radiation transfer equation is changed by its diffusion P 1 approximation.…”