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2. Transient forced convection from an infinite cylindrical heat source in a saturated Darcian porous medium.
- Author
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Conti, Paolo, Testi, Daniele, and Grassi, Walter
- Subjects
- *
HEAT convection , *PECLET number , *DARCY'S law , *HEAT transfer ,THERMAL properties of porous materials - Abstract
This paper deals with the problem of an infinite cylindrical heat source embedded into a saturated porous medium and subject to a cross-axial Darcian flow. Only forced convection is considered. We derived the transient dimensionless solution through a combined analytical – numerical method consisting of four steps: (a) a preliminary dimensional analysis of the constitutive equations of the problem in order to find the dimensionless groups governing the solution; (b) the identification of the validity range of the model as a function of the just-mentioned dimensionless groups; (c) the numerical resolution of the problem; (d) the synthesis of the numerical results in a general dimensionless form. Specifically, we provide several dimensionless maps of the 2D thermal field evolution for six different orders of magnitude of the Péclet number ( 10 - 3 – 10 2 ) . The evolution of the temperature of the heat source is fully illustrated and discussed through plain dimensionless criteria. Then, we discuss the time, space and fluid velocity scales in which the solution is practically equivalent to the ones given by a linear heat source and a purely conductive model. We conclude that the present model has to be employed to evaluate the temperature in proximity of the heat source when the reference Péclet number is greater than 0.5. On the contrary, the linear model can be successfully used for radial distances 5–10 times greater that the heat source radius, depending on the reference Péclet number. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
3. Investigation on heat transfer around buried coils of pile foundation heat exchangers for ground-coupled heat pump applications
- Author
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Zhang, Wenke, Yang, Hongxing, Lu, Lin, and Fang, Zhaohong
- Subjects
- *
HEAT transfer , *HEAT exchangers , *HEAT pumps , *ENERGY conservation , *EMISSIONS (Air pollution) , *GROUNDWATER , *MATHEMATICAL models - Abstract
Abstract: The application of ground heat exchangers (GHEs) has attracted much attention for its advantages in terms of energy-saving and emission-reduction. Therefore, it is significant to introduce heat transfer into investigation, the paper illustrated the existing heat transfer models in order to analyze the GHEs with buried coils. Line heat source, cylindrical heat source and ring-coil heat source are introduced step by step. For the present, the borehole GHEs are the mainstream, and in recent years pile foundation GHEs have been followed with interest on account of heat transfer superiority as well as lowering initial cost and saving land area. Concerning that groundwater flow exist in geological stratum sometimes, so that the thermal analysis about heat transfer should be composed of two cases, i.e. models under the condition of both pure conduction and combination that include conduction and advection. It is obvious that ring-coil model is on the verge of actual situation for pile foundation GHEs with buried coils from the academic research perspectives, nevertheless for some engineering computation problems which the result error can be permitted in the certain range, other heat transfer models can be chosen in order to simplify the calculation process. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
- View/download PDF
4. Transient forced convection from an infinite cylindrical heat source in a saturated Darcian porous medium
- Author
-
Walter Grassi, Paolo Conti, and Daniele Testi
- Subjects
Fluid Flow and Transfer Processes ,Darcy's law ,020209 energy ,Mechanical Engineering ,Numerical analysis ,Porous media ,Cylindrical heat source ,Thermodynamics ,02 engineering and technology ,Péclet number ,Mechanics ,Orders of magnitude (numbers) ,Condensed Matter Physics ,Forced convection ,Physics::Fluid Dynamics ,Finite volume numerical method ,Transient solution ,symbols.namesake ,Thermal ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Porous medium ,Dimensionless quantity - Abstract
This paper deals with the problem of an infinite cylindrical heat source embedded into a saturated porous medium and subject to a cross-axial Darcian flow. Only forced convection is considered. We derived the transient dimensionless solution through a combined analytical – numerical method consisting of four steps: (a) a preliminary dimensional analysis of the constitutive equations of the problem in order to find the dimensionless groups governing the solution; (b) the identification of the validity range of the model as a function of the just-mentioned dimensionless groups; (c) the numerical resolution of the problem; (d) the synthesis of the numerical results in a general dimensionless form. Specifically, we provide several dimensionless maps of the 2D thermal field evolution for six different orders of magnitude of the Peclet number ( 10 - 3 – 10 2 ) . The evolution of the temperature of the heat source is fully illustrated and discussed through plain dimensionless criteria. Then, we discuss the time, space and fluid velocity scales in which the solution is practically equivalent to the ones given by a linear heat source and a purely conductive model. We conclude that the present model has to be employed to evaluate the temperature in proximity of the heat source when the reference Peclet number is greater than 0.5. On the contrary, the linear model can be successfully used for radial distances 5–10 times greater that the heat source radius, depending on the reference Peclet number.
- Published
- 2018
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