Abstract

The ubiquitous use of glass in architectural design, whether for windows or to enhance the aesthetic appeal of building facades, has become a standard practice. Glass serves the dual purpose of allowing natural light to permeate indoor spaces while offering views of both the interior and exterior, thereby enhancing the overall quality of life. However, a notable drawback of untreated glass lies in its propensity to permit heat loss without an efficient means of heat retention. This inherent characteristic underscores the need to comprehensively understand the underlying processes at play and their repercussions on thermal comfort.
This paper introduces a novel stochastic model founded on Ito Stratonovich differential calculus to address this concern. This model is specifically engineered to account for the temporal fluctuations in household temperature, influenced by the stochastic variability of ambient temperature. Its primary objective is to highlight the intricate heat transfer mechanisms within residential spaces, including conduction and convection. The aim is to quantify the likelihood of maintaining the house's temperature within the desired thermal comfort range. In essence, this model offers a tool for characterizing dwelling comfort based on the probability that the temperature remains within a predefined and comfortable range.
Subsequently, the developed model found practical application in the analysis of employing double-glazed glass walls as a strategy to regulate indoor temperature in house construction. The results underscore the benefits of this approach and delineate the optimal spacing between the glass layers, ensuring that the best outcomes in terms of thermal comfort are achieved. 

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