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New transient simplified model for radiant heating slab surface temperature and heat transfer rate calculation

  • Abdelatif Merabtine
  • Salim MokraouiEmail author
  • Abdelhamid Kheiri
  • Anass Dars
Research Article Building Systems and Components
  • 4 Downloads

Abstract

A new simplified model based on a semi-analytical correlation is proposed in this paper to evaluate the heating radiant slab surface temperature and to examine its thermal behavior under dynamic solicitations. In fact, the surface temperature is a normative design parameter and shall be kept under an upper limit whatever are the running conditions. Experimental measurements and a two-dimensional finite difference model (2D FDM) were carried out to validate the developed simplified model based on two characteristic parameters that are the time constant and the delay time. A Design of Experiments (DoE) method is employed to derive meta-models for the time constant and the delay time in order to compute the surface temperature. The sensitivity analysis shows that the specific heat capacity of the slab material and the heating water flow rate affect significantly the time constant compared to the thermal conductivity and the heating water pipe inner diameter. Moreover, it was found that all these parameters, except the heating water flow rate, have a substantial impact on the delay time. Compared to the experimental results, the maximum relative deviations from the computed surface temperature are within 2.4% for the numerical model and 1.75% for the simplified semi-analytical model. Consequently, the proposed simplified model may be utilized by engineers and designers to quickly estimate the radiant slab surface temperature and heat flux as well as to study its thermal behavior under dynamic running conditions. This model may also be integrated in the thermal building simulation software.

Keywords

floor heating system analytical model time constant delay time 2D finite difference design of experiments thermal inertia 

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References

  1. Andersen PD, Jiménez MJ, madse, H, Rode C (2014). Characterization of heat dynamics of an arctic low-energy house with floor heating. Building Simulation, 6: 595–614.CrossRefGoogle Scholar
  2. Athienitis AK (1997). Investigation of thermal performance of a passive solar building with floor radiant heating. Solar Energy, 61: 337–345.CrossRefGoogle Scholar
  3. Buckley NA (1989). Application of radiant heating saves energy. ASHRAE Transactions, 96: 17–26.Google Scholar
  4. CSTB (2008). Document Technique Unifié NF DTU 26.2 P1-1, Chapes et dalles à base de liants hydrauliques: Cahier des clauses techniques types. AFNOR. Centre Scientifique et technique du Bâtiment. (in French)Google Scholar
  5. De Monte F (2000). Transient heat conduction in one-dimensional composite slab. A “natural” analytic approach. International Journal of Heat and Mass Transfer, 43: 3607–3619.CrossRefzbMATHGoogle Scholar
  6. Ho SY, Hayes RE, Wood RK (1995). Simulation of the dynamic behaviour of a hydronic floor heating system. Heat Recovery Systems and CHP, 15: 505–519.CrossRefGoogle Scholar
  7. Holman JP (2009). Heat Transfer, 10th edn. New York: McGraw-Hill.Google Scholar
  8. Holopainen R, Tuomaala P, Piippo J (2007). Uneven gridding of thermal nodal networks in floor heating simulations. Energy and Buildings, 39: 1107–1114.CrossRefGoogle Scholar
  9. Incropera FP, Dewitt DP, Bergman TL, Lavine AS (2007). Fundamentals of Heat and Mass Transfer, 6th edn. Hoboken, NJ, USA: John Wiley & Sons.Google Scholar
  10. Jin X, Zhang X, Luo Y (2010). A calculation method for the floor surface temperature in radiant floor system. Energy and Buildings, 42: 1753–1758.CrossRefGoogle Scholar
  11. Khanna N (2016). Design of experiments in titanium metal cutting research. In: Davim J (ed), Design of Experiments in Production Engineering. Cham Switzerland: Springer.Google Scholar
  12. Kilkis ÍB, Sager SS, Uludag M (1994). A simplified model for radiant heating and cooling panels. Simulation Practice and Theory, 2: 61–76.CrossRefGoogle Scholar
  13. Kollmar A, Liese W (1957). Die strahlungsheizung, 4th edn. München: R. Oldenbourg.Google Scholar
  14. Koschenz M, Lehmann B (2000). Thermoaktive Bauteilsysteme Tabs. Zurikh: EMPA Energie systeme/Haustechnik. (in German)Google Scholar
  15. Laouadi A (2004). Development of a radiant heating and cooling model for building energy simulation software. Building and Environment, 39: 421–431.CrossRefGoogle Scholar
  16. Flores Larsen S, Filippín C, Lesino G (2010). Transient simulation of a storage floor with a heating/cooling parallel pipe system. Building Simulation, 3: 105–115.CrossRefGoogle Scholar
  17. Li Q-Q, Chen C, Zhang Y, Lin J, Ling H-S (2014a). Simplified thermal calculation method for floor structure in radiant floor cooling system. Energy and Buildings, 74: 182–190.CrossRefGoogle Scholar
  18. Li Q-Q, Chen C, Zhang Y, Lin J, Ling H-S, Ma Y (2014b). Analytical solution for heat transfer in a multilayer floor of a radiant floor system. Building Simulation, 7: 207–216.CrossRefGoogle Scholar
  19. Lu X, Tervola P (2004). Transient heat conduction in the composite slab-analytical method. Journal of Physics A: Mathematical and General, 38: 81–96.MathSciNetCrossRefzbMATHGoogle Scholar
  20. Merabtine A, Mokraoui S, Kheiri A, Dars A, Hawila AAW (2018). Experimental and multidimensional numerical analysis of the thermal behavior of an anhydrite radiant slab floor heating system: A multi-objective sensitivity study. Energy and Buildings, 174: 619–634.CrossRefGoogle Scholar
  21. Olesen BW (2002). Radiant floor heating in theory and practice. ASHRAE Journal, 44(7): 19–24.Google Scholar
  22. Patankar SV (1980). Numerical Heat Transfer and Fluid Flow. New York: Hemisphere Publishing Corporation.zbMATHGoogle Scholar
  23. Pierson P, Padet J (1988). Etude théorique et expérimentale des échangeurs en régime thermique instationnaire. Simulation d’une phase de relaxation. International Journal of Heat and Mass Transfer, 31: 1577–1586. (in French)CrossRefGoogle Scholar
  24. Sattari S, Farhanieh B (2006). A parametric study on radiant floor heating system performance. Renewable Energy, 31: 1617–1626.CrossRefGoogle Scholar
  25. Tian Z, Duan B, Niu X, Hu Q, Niu J (2014). Establishment and experimental validation of a dynamic heat transfer model for concrete radiant cooling slab based on reaction coefficient method. Energy and Buildings, 82: 330–340.CrossRefGoogle Scholar
  26. Thomas S, Franck PY, André P (2011). Model validation of a dynamic embedded water base surface heat emitting system for buildings. Building Simulation, 4: 41–48.CrossRefGoogle Scholar
  27. Wu X, Zhao J, Olesen BW, Fang L, Wang F (2015). A new simplified model to calculate surface temperature and heat transfer of radiant floor heating and cooling systems. Energy and Buildings, 105: 285–293.CrossRefGoogle Scholar
  28. Zhang L, Liu X-H, Jiang Y (2012). Simplified calculation for cooling/heating capacity, surface temperature distribution of radiant floor. Energy and Buildings, 55: 397–404.CrossRefGoogle Scholar

Copyright information

© Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Abdelatif Merabtine
    • 1
    • 2
  • Salim Mokraoui
    • 3
    Email author
  • Abdelhamid Kheiri
    • 4
  • Anass Dars
    • 2
  1. 1.GRESPI, Université de Reims Champagne-Ardenne, Campus Moulin de la HousseReims CedexFrance
  2. 2.EPF School of EngineeringRosières-Prés-TroyesFrance
  3. 3.College of Engineering, Chemical Engineering DepartmentKing Saud UniversityRiyadhSaudi Arabia
  4. 4.Université de Lorraine, Lemta, CNRSNancyFrance

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