Analysis of the convective heat exchange effect on the undisturbed ground temperature

Abstract The ground temperature is an important parameter for several applications such as ground source heat pumps, agricultural greenhouses and ground energy storage systems. This paper describes a numerical model based on 1D transient heat conduction equation, using the energy balance on the soil surface as a boundary condition. The absorbed solar radiation by the soil, the convection heat transfer between the soil and the ambient air, as well as the long wave radiation exchange between the soil and the sky have been considered. An hourly simulation over a whole year (8760 h) with 1 h time step has been conducted using real meteorological data including global solar radiation, ambient dry bulb and dew point temperatures as well as the wind velocity. The model has been validated against measurements and analytical calculations for a site located in Montreal (Canada). The model is applied to investigate the effect of convective heat flux, calculated using three different correlations on the deep ground temperature for different climates. It has been found that in general, McAdams (1954) and Kusuma (2004) correlations can be used for different climates with relatively good agreement between measurements and calculations.

[1]  S. Lykoudis,et al.  Ground temperature estimations using simplified analytical and semi-empirical approaches , 2009 .

[2]  J. Deardorff,et al.  Further results from a laboratory model of the convective planetary boundary layer , 1985 .

[3]  Hossein Tabari,et al.  Comparison of artificial neural network and multivariate linear regression methods for estimation of daily soil temperature in an arid region , 2011 .

[4]  T. Kusuda,et al.  EARTH TEMPERATURE AND THERMAL DIFFUSIVITY AT SELECTED STATIONS IN THE UNITED STATES , 1965 .

[5]  G. Mihalakakou,et al.  On estimating soil surface temperature profiles , 2002 .

[6]  G. Mihalakakou,et al.  On the ground temperature below buildings , 1995 .

[7]  Hiroyuki Kusaka,et al.  Proposal of a new equation to estimate globe temperature in an urban park environment , 2013 .

[8]  J. Palyvos.  A survey of wind convection coefficient correlations for building envelope energy systems’ modeling , 2008 .

[9]  Stéphane Thiers.  Bilans énergétiques et environnementaux de bâtiments à énergie positive , 2008 .

[10]  Kusuma G. Rao,et al.  Estimation of the Exchange Coefficient of Heat During Low Wind Convective Conditions , 2004 .

[11]  M. Deru.  Model for Ground-Coupled Heat and Moisture Transfer from Buildings , 2003 .

[12]  J. D. Lin.  On the force-restore method for prediction of ground surface temperature , 1980 .

[13]  Ravindra Kirar,et al.  Comparative Analysis of Wind Loss Coefficient (Wind Heat Transfer Coefficient) For Solar Flat Plate Collector. , 2012 .

[14]  Paul Robin,et al.  Partition of sensible heat fluxes into bare soil and the atmosphere , 1996 .

[15]  A. Dimoudi,et al.  Analysis of conductive temperature variation due to multi-room underground interaction , 2012 .

[16]  Heinz G. Stefan,et al.  Ground surface temperature simulation for different land covers , 2008 .

[17]  Steven W. Running,et al.  A daily soil temperature model based on air temperature and precipitation for continental applications , 1993 .

[18]  Rogerio Cichota,et al.  ANALYTICAL SOIL–TEMPERATURE MODEL , 2004 .

[19]  G. Mihalakakou,et al.  On the application of the energy balance equation to predict ground temperature profiles , 1997 .

[20]  D. Harris,et al.  The generation of subsurface temperature profiles for Kuwait , 2001 .

[21]  W. Beckman,et al.  Solar Engineering of Thermal Processes , 1985 .

[22]  M. S. Sodha,et al.  Periodic variation of ground temperature with depth , 1978 .