Finite difference modeling of heat distribution in multilayer soils with time-spatial hydrothermal properties

Renewable Energy

Volumn 76, Issue , 2015, Pages 7-15

  Nowamooz, Hossein ^a   Nikoosokhan, Saeid ^a   Lin, Jian ^b   Chazallon, Cyrille ^a  

^a Faculté de Médecine   (France)

^b UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Finite difference method; Homogeneous soil; Multilayered soil heat distribution; Time spatial variable thermal diffusivity

Indexed keywords

DIFFUSION; FINITE DIFFERENCE METHOD; HEAT FLUX; NUMERICAL MODELS; SOILS; THERMAL CONDUCTIVITY; THERMAL DIFFUSIVITY;

FINITE DIFFERENCE MODEL; HEAT DISTRIBUTION; HOMOGENEOUS SOIL; HYDROTHERMAL PROPERTIES; INITIAL AND BOUNDARY CONDITIONS; NON-HOMOGENEOUS SOILS; SPATIAL VARIABLES; THEORETICAL APPROACH;

SOIL SURVEYS;

BOUNDARY CONDITION; FINITE DIFFERENCE METHOD; HEAT FLOW; HEAT FLUX; HOMOGENEITY; SOIL DEPTH; SOIL TEMPERATURE; SPATIOTEMPORAL ANALYSIS;

EID: 84911072048     PISSN: 09601481     EISSN: 18790682     Source Type: Journal    
DOI: 10.1016/j.renene.2014.11.008     Document Type: Article

References (43)

1. Al-Khouri R. Computational modeling of shallow geothermal systems. Multiphysics modeling 2012, vol. 4. CRC Press.
2. Al-Ajmi F., Loveday D., Hanby V. The cooling potential of earth-air heat exchangers for domestic buildings in desert climate. Build Environ 2006, 41:235-244.
3. Costa V. Thermodynamic analysis of building heating or cooling using the soil as heat reservoir. Int J Heat Mass Transfer 2006, 403(49):4152-4160.
4. Ghosal M., Tiwari G. Modeling and parametric studies for thermal performance of an earth to air heat exchanger integrated with a greenhouse. Energy Convers Manag 2006, 47:1779-1798.
5. Hillel D. Fundamentals of soil physics 1980, Academic Press Inc., San Diego, CA.
6. Hillel D. Introduction to soil physics 1982, Academic Press Inc., San Diego, CA.
7. Marshall T., Holmes J. Soil physics 1988, Cambridge University Press, 446 New York.
8. Mihalakakou G., Santamouris M., Askimakopoulos D., Argiriou A. On the ground temperature below buildings. ASME - J Solar Energy Eng 1995, 55:355-362.
9. Tsoukpoe K., Liu H., Le Pierre's N., Luo L. Areview on long-term sorption solar energy storage. Renew Sustain Energy Rev 2009, 13:2385-2396.
10. Zhang H., Ge X., Ye H., Jiao D. Heat conduction and heat storage characteristics of soils. Appl Therm Eng 2007, 27:369-373.
11. Choi J.M., Park Y.J., Kang S.H. Temperature distribution and performance of ground-coupled multi-heat pump systems for a greenhouse. Renew Energy May 2014, 65:49-55.
12. You T., Wang B., Wu W., Shi W., Li X. Anew solution for underground thermal imbalance of ground-coupled heat pump systems in cold regions: heat compensation unit with thermosyphon. Appl Therm Eng March 2014, 64(1-2):283-292.
13. Campanella R., Mitchell J. Influence of temperature variation on soil behavior. ASCE J SMFD 1968, 94:3.
14. Farouki O. Thermal properties of soils 1981, United States Corps of Engineers, Cold Regions Research and Engineering Laboratory, US.
15. Leong W., Tarnawski R., Aittomaki A. Effect of soil type and moisture content on ground heat pump performance. Int J Refrigeration 1998, 21.
16. Slegel D., Davis L. Transient heat and mass transfer in soils in the vicinity of heated porous pipes. ASME - Trans J Heat Transfer 1977, 486:99.
17. Cole K., Beck J., Haji-Sheikh A., Litkouhi B. Heat conduction using Green's functions. Series in computational methods and physical processes in mechanics and thermal sciences 2010, Taylor & Francis Group, New York.
18. Mihalakakou G. On estimating soil surface temperature profiles. Energy Build 2002, 34:251-259.
19. Ozgener L. Exegetic assessment of EAHEs for building heating in turkey: a greenhouse case study. Energy Policy 2010, 38:5141-5150.
20. Ozgener L. Areview on the experimental and analytical analysis of earth to air heat exchanger (EAHEs) systems in turkey. Renew Sustain Energy Rev 2011, 15:4483-4490.
21. Ogunlela A.O. Modelling soil temperature variations. J Agric Res Dev 2003, 100-109.
22. Florides G., Kalogirou S. Annual ground temperature measurements at various depths 2005, 8th REHVA World Congress, Clima, Lausanne, Switzerland.
23. Kusuda T. The effect of ground cover on earth temperature. Proceedings of conference on alternatives in energy conservation: the use of earth-covered buildings 1975, 9-12. [Forth Worth, Texas].
24. Mihalakakou G. On the application of the energy balance equation to predict ground temperature profiles. ASME - J Solar Energy Eng 1997, 60:181-190.
25. Campbell G. Soil physics with basic: transport models for soil plant systems 1985, Elsevier Sci. Publ. Co., New York.
26. De Vries D. Thermal properties of soil. Physics of plant environment 1963, 210-235. North-Holland, Amsterdam.
27. Johansen O. Thermal conductivity of soils 1977, Doctoral dissertation, Norwegian University of Science and Technology, Trondheim.
28. Kersten M. Thermal properties of soils 1949, 52. Engineering Experiment Station.
29. Ochsner T.E., Horton R., Ren T. Anew perspective on soil thermal properties. Soil Sci Soc Am J 2001, 65:1641-1647.
30. Roxy M.S., Sumithranand V.B., Renuka G. Variability of soil moisture and its relationship with surface albedo and soil thermal diffusivity at Astronomical Observatory, Thiruvananthapuram, south Kerala. JEarth Syst Sci 2010, 119:507-517.
31. Gao Z., Fan X., Bian L. An analytical solution to one-dimensional thermal conduction-convection in soil. Soil Sci 2003, 168:99-107.
32. Penrod E., Elliot J., Brown W. Soil temperature variation (1952-1956) at Lexington, Kentucky. Soil Sci 1960, 90:275-283.
33. Wang Z., Bou-Zeid E. Anovel approach for the estimation of soil ground heat flux. Agric For Meteorol 2012, 154:214-221.
34. Ozgener O., Ozgener L., Tester J. Apractical approach to predict soil temperature variations for geothermal (ground) heat exchangers applications. Int J Heat Mass Transf 2013, 62:473-480.
35. KD2-Pro KD2 pro thermal properties analyzer, operator's manual 2011, 1-68. Version 10.
36. Carslaw A.J. Conduction of heat in solids 1959, Oxford, London. 2nd ed.
37. Kluitenberg G., Ham J., Bristow K. Error analysis of the heat pulse method for measuring soil volumetric heat capacity. Soil Sci Soc Am J 1993, 57:1444-1451.
38. Goldstein R.J., Eckert E.R.G., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., et al. Literature review article. Int J Heat Mass Transfer 1998, 44(2):253-366. 14 August 2001.
39. Abu-Hamdeh N.H. Thermal properties of soils as affected by density and water content. Biosyst Eng 2003, 86:97-102.
40. Lu S., Ren T., Gong Y., Horton R. An improved model for predicting soil thermal conductivity from water content at room temperature. Soil Sci Soc Am J 2007, 71:8-14.
41. Nikoosokhan S., Nowamooz H., Chazallon Seasonal heat storage in unsaturated soils with variable thermal properties 2013, International workshop on Geomechanics and Energy, EAGE, Lausanne, Switzerland.
42. Nikoosokhan S., Nowamooz H., Chazallon Temperature variations in unsaturated soils with variable hydrothermal properties. Eur J Soil Sci 2014, [in press].
43. Coté J., Konrad J.-M. Ageneralized thermal conductivity model for soils and construction materials. Can. Geotech. J. 2005, 42:443-458.