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

Year 2020, , 114 - 127, 30.03.2020
https://doi.org/10.18186/thermal.728054

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.

References

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  • [7] Tang R, Meir IA, Wu T. Thermal performance of non-air-conditioned buildings with vaulted roofs in comparison with flat roofs. Build Environ 2006; 41:268–276. doi: 10.1016/j.buildenv.2005.01.008.
  • [8] Bekkouche SMEA, Benouaz T, Cherier MK, Hamdani M, Yaiche RM, Khanniche R. Influence of building orientation on internal temperature in saharian climates, building located in ghardaia region (algeria). Therm Sci 2013; 17(2): 349-364. doi:10.2298/tsci110121112b.
  • [9] Chel A, Tiwari GN. Thermal performance and embodied energy analysis of a passive house – Case study of vault roof mud-house in India. Appl. Energy 2009; 86:1956–1969. doi:10.1016/j.apenergy.2008.12.033.
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  • [12] Asan H, Sancaktar YS. Effects of Wall’s thermophysical properties on time lag and decrement factor. Energy Build 1998; 28:159-166. doi:10.1016/S0378-7788(98)00007-3.
  • [13] Asan H. Investigation of wall’s optimum insulation position from maximum time lag and minimum decrement factor point of view. Energy Build 2000; 32: 197–203. doi: 10.1016/S0378-7788(00)00044-X
  • [14] Duffin RJ, Knowles G.A passive wall design to minimize building temperature swings. Sol Energy 1984; 33(3/4):337–342. doi:10.1016/0038-092X (84)90163-4.
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  • [20] Rajasekar E, Anupama U, Venkateswaran R. Thermal comfort beyond building design – an investigation in naturally ventilated residential apartments in a hot–dry climate. Adv. Build. Energ Res 2014; 8(2):196–215. doi:10.1080/17512549.2013.865553.
  • [21] Netam N, Sanyal S, Bhowmick S. Assessing the impact of passive cooling on thermal comfort in LIG house using CFD. J Therm Eng 2019; 5(5):414-421. doi: 10.18186/thermal.623212.
  • [22] Anand Y, Anand S, Gupta A, Tyagi S. Building envelope performance with different insulating materials – an exergy approach. J Therm Eng 2015; 1(4): 433-439 doi: 10.18186/jte.06871.
  • [23] Udawattha C, Halwatura R. Thermal performance and structural cooling analysis of brick, cement block, and mud concrete block, Adv Build Energ Res 2016; 12:2, 150-163, doi: 10.1080/17512549.2016.1257438.
  • [24] Fathipour R, Hadidi A. Analytical solution for the study of time lag and decrement factor for building walls in climate of Iran. Energy 2017; 134: 167-180. doi:10.1016/j.energy.2017.06.009.
  • [25] Zhang LY, Jin LW, Wang ZN, Zhang JY, Liu X., Zhang LH. Effects of wall configuration on building energy performance subject to different climatic zones of China. Appl Energy 2017; 185(2): 1565-1573.doi:10.1016/j.apenergy.2015.10.086.
  • [26] Nayak JK, Prajapati JA. Handbook on Energy Conscious Buildings. R & D project no. 3/4(03)/99-SEC between Indian Institute of Technology, Bombay and Solar Energy Centre, Ministry of Non-conventional Energy Sources, 2006; 4(3):2093-2117.
  • [27] Yumrutas R, Önder K, Yıldırım E.Estimation of total equivalent temperature difference values for multilayer walls and flat roofs by using periodic solution. Build Environ 2007; 42(5):1878–85. doi: 10.1016/j.buildenv.2006.02.020.
  • [28] Duffie JA, Beckman WA. Solar Engineering of Thermal Processes. fourth ed., John Wiley and Sons,New York; 2013.
Year 2020, , 114 - 127, 30.03.2020
https://doi.org/10.18186/thermal.728054

Abstract

References

  • [1] Mallick FH. Thermal comfort and building design in the tropical climates. Energy Build 1996; 23:161-167. doi:10.1016/0378-7788(95)00940-X
  • [2] Kunzel HM, Holm A, Zirkelbach D, Karagiozis AN. Simulation of indoor temperature and humidity conditions including hygrothermal interactions with the building envelope. Sol. Energy 2005; 78:554–561. doi: 10.1016/j.solener.2004.03.002
  • [3] Singh MK, Mahapatra S, Atreya SK. Thermal performance study and evaluation of comfort temperatures in vernacular buildings of North-East India. Build Environ 2010; 45:320–329. doi:10.1016/j.buildenv.2009.06.009.
  • [4] Dili AS, Naseer MA, Varghese TZ. Thermal comfort study of Kerala traditional residential buildings based on questionnaire survey among occupants of traditional and modern buildings. Energy Build 2010; 42:2139–2150. doi:10.1016/j.enbuild.2010.07.004.
  • [5] Givoni B. Indoor temperature reduction by passive cooling systems. Sol Energy 2010; 85:1692–1726. doi: 10.1016/j.solener.2009.10.003.
  • [6] Netam N, Sanyal S, Bhowmick S. Thermal comfort analysis: A case study of LIG housing in Chhattisgarh. Proceedings of the 11th International Conference on Mechanical Engineering (ICME 2015), 18-20 Dec 2015, Buet, Dhaka, Bangaladesh. AIP Conf. Proc 2016; 1754: 050025-1–050025-6. doi:10.1063/1.4958416.
  • [7] Tang R, Meir IA, Wu T. Thermal performance of non-air-conditioned buildings with vaulted roofs in comparison with flat roofs. Build Environ 2006; 41:268–276. doi: 10.1016/j.buildenv.2005.01.008.
  • [8] Bekkouche SMEA, Benouaz T, Cherier MK, Hamdani M, Yaiche RM, Khanniche R. Influence of building orientation on internal temperature in saharian climates, building located in ghardaia region (algeria). Therm Sci 2013; 17(2): 349-364. doi:10.2298/tsci110121112b.
  • [9] Chel A, Tiwari GN. Thermal performance and embodied energy analysis of a passive house – Case study of vault roof mud-house in India. Appl. Energy 2009; 86:1956–1969. doi:10.1016/j.apenergy.2008.12.033.
  • [10] Chel A, Tiwari GN. Performance evaluation and life cycle cost analysis of earth to air heat exchanger integrated with adobe building for New Delhi composite climate. Energy Build 2009: 41: 56–66. doi: 10.1016/j.enbuild.2008.07.006.
  • [11] Asan H. Effects of Walls’ insulation thickness and position on time lag and decrement factor. Energy Build 1998; 28: 299–305. doi:10.1016/S0378-7788(98)00030-9.
  • [12] Asan H, Sancaktar YS. Effects of Wall’s thermophysical properties on time lag and decrement factor. Energy Build 1998; 28:159-166. doi:10.1016/S0378-7788(98)00007-3.
  • [13] Asan H. Investigation of wall’s optimum insulation position from maximum time lag and minimum decrement factor point of view. Energy Build 2000; 32: 197–203. doi: 10.1016/S0378-7788(00)00044-X
  • [14] Duffin RJ, Knowles G.A passive wall design to minimize building temperature swings. Sol Energy 1984; 33(3/4):337–342. doi:10.1016/0038-092X (84)90163-4.
  • [15] Jin X, Zhang X, Cao Y, Wang G. Thermal performance evaluation of the wall using heat flux time lag and decrement factor. Energy Build 2012; 47: 369–374. doi:10.1016/j.enbuild.2011.12.010
  • [16] Stewart JP. Solar heat gain through walls and roofs for cooling load calculations. ASHVE 1948; 54 (3): 61–88.
  • [17] Kaska Ö, Yumrutas R, Arpa O. Theoretical and experimental investigation of total equivalent temperature difference (TETD) values for building walls and flat roofs in Turkey. Appl. Energy 2009; 86:737–747. doi:10.1016/j.apenergy.2008.09.010.
  • [18] Balaji NC, Mani M, Venkatarama RBV. Thermal performance of the building walls. Proceedings of first IBPSA-Italy conference, Build Simul Appl (BSA) 2013, Jan 30 – Feb 1, 2013, Bozen/Bolzano, Italy; 2013.
  • [19] Mohammad S, Shea A. Performance evaluation of modern building thermal envelope designs in the semi-arid continental climate of Tehran. Buildings 2013; 3(4): 674–688. doi:10.3390/buildings3040674.
  • [20] Rajasekar E, Anupama U, Venkateswaran R. Thermal comfort beyond building design – an investigation in naturally ventilated residential apartments in a hot–dry climate. Adv. Build. Energ Res 2014; 8(2):196–215. doi:10.1080/17512549.2013.865553.
  • [21] Netam N, Sanyal S, Bhowmick S. Assessing the impact of passive cooling on thermal comfort in LIG house using CFD. J Therm Eng 2019; 5(5):414-421. doi: 10.18186/thermal.623212.
  • [22] Anand Y, Anand S, Gupta A, Tyagi S. Building envelope performance with different insulating materials – an exergy approach. J Therm Eng 2015; 1(4): 433-439 doi: 10.18186/jte.06871.
  • [23] Udawattha C, Halwatura R. Thermal performance and structural cooling analysis of brick, cement block, and mud concrete block, Adv Build Energ Res 2016; 12:2, 150-163, doi: 10.1080/17512549.2016.1257438.
  • [24] Fathipour R, Hadidi A. Analytical solution for the study of time lag and decrement factor for building walls in climate of Iran. Energy 2017; 134: 167-180. doi:10.1016/j.energy.2017.06.009.
  • [25] Zhang LY, Jin LW, Wang ZN, Zhang JY, Liu X., Zhang LH. Effects of wall configuration on building energy performance subject to different climatic zones of China. Appl Energy 2017; 185(2): 1565-1573.doi:10.1016/j.apenergy.2015.10.086.
  • [26] Nayak JK, Prajapati JA. Handbook on Energy Conscious Buildings. R & D project no. 3/4(03)/99-SEC between Indian Institute of Technology, Bombay and Solar Energy Centre, Ministry of Non-conventional Energy Sources, 2006; 4(3):2093-2117.
  • [27] Yumrutas R, Önder K, Yıldırım E.Estimation of total equivalent temperature difference values for multilayer walls and flat roofs by using periodic solution. Build Environ 2007; 42(5):1878–85. doi: 10.1016/j.buildenv.2006.02.020.
  • [28] Duffie JA, Beckman WA. Solar Engineering of Thermal Processes. fourth ed., John Wiley and Sons,New York; 2013.
There are 28 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Nisha Netam This is me 0000-0001-8536-5524

Shubhashis Sanyal This is me 0000-0001-5435-630X

Shubhankar Bhowmick This is me 0000-0001-9799-8724

Publication Date March 30, 2020
Submission Date July 17, 2018
Published in Issue Year 2020

Cite

APA Netam, N., Sanyal, S., & Bhowmick, S. (2020). A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE. Journal of Thermal Engineering, 6(2), 114-127. https://doi.org/10.18186/thermal.728054
AMA Netam N, Sanyal S, Bhowmick S. A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE. Journal of Thermal Engineering. March 2020;6(2):114-127. doi:10.18186/thermal.728054
Chicago Netam, Nisha, Shubhashis Sanyal, and Shubhankar Bhowmick. “A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE”. Journal of Thermal Engineering 6, no. 2 (March 2020): 114-27. https://doi.org/10.18186/thermal.728054.
EndNote Netam N, Sanyal S, Bhowmick S (March 1, 2020) A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE. Journal of Thermal Engineering 6 2 114–127.
IEEE N. Netam, S. Sanyal, and S. Bhowmick, “A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE”, Journal of Thermal Engineering, vol. 6, no. 2, pp. 114–127, 2020, doi: 10.18186/thermal.728054.
ISNAD Netam, Nisha et al. “A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE”. Journal of Thermal Engineering 6/2 (March 2020), 114-127. https://doi.org/10.18186/thermal.728054.
JAMA Netam N, Sanyal S, Bhowmick S. A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE. Journal of Thermal Engineering. 2020;6:114–127.
MLA Netam, Nisha et al. “A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE”. Journal of Thermal Engineering, vol. 6, no. 2, 2020, pp. 114-27, doi:10.18186/thermal.728054.
Vancouver Netam N, Sanyal S, Bhowmick S. A MATHEMATICAL MODEL FEATURING TIME LAG AND DECREMENT FACTOR TO ASSESS INDOOR THERMAL CONDITIONS IN LOW-INCOME-GROUP HOUSE. Journal of Thermal Engineering. 2020;6(2):114-27.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK http://eds.yildiz.edu.tr/journal-of-thermal-engineering