Unsteady State Temperature Distribution Inside House Based on Slope Roof

Abstract

The house is a building that serves as a place to gather with family and also to get comfort. The house is designed so the occupants can feel aesthetically and functionally comfortable. It will be interesting to discuss the temperature inside the house as one of the comfort factors. The study aims to analyze the temperature conditions inside the house, which are influenced by the slope of the roof. A two-dimensional unsteady state heat equation represents this temperature since the temperature distribution satisfies the heat transfer concept and changes over time. This governing equation will be approximated by the forward time center space scheme as one finite difference method and completed by the quadratic ghost point method since the house domain is an irregular shape. Van Neumann criteria are applied here to analyze the stability of the computational approach for this numerical scheme. Furthermore, these schemes are implemented in MATLAB application to quantitatively and visually display temperature dynamics. Some simulations completed these approximations to see temperature variations over time. The results show that the bigger slope causes the average temperature to be cooler. In other words, the temperature in the house will be more comfortable when the roof slope gets bigger.