A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE

Abstract

Raipur, capital of Chhattisgarh state, India, is located at (21.18° N and 81.78° E). During summer season, the city experiences maximum temperature of 46 ºC. Residents resort to external cooling sources almost throughout the year for achieving thermal comfort. Therefore, thermal performance analysis of house is important to assess the temperature inside the house at different season. In present work, mathematical model of hourly temperature distribution in each room of the Low Income Group (LIG) house has been developed using time lag and decrement factor. A system of differential equations is derived and solved. The results obtained are validated with data collected onsite. The study is reported for three major seasons realized in Raipur. Deviation of room temperature from predefined thermal comfort has been calculated and reported for different season. The report reveals the lack of thermal comfort from the sets standards in post-monsoon and summer season.

Keywords

• Thermal Performance,Time Lag,Decrement Factor,Thermal Comfort

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