A three-dimensional numerical model of borehole heat exchanger heat transfer and fluid flow

Geothermics

Volumn 46, Issue , 2013, Pages 1-13

  Rees, Simon J ^a   He, Miaomiao ^a  

^a DE MONTFORT UNIVERSITY   (United Kingdom)

Author keywords

Borehole heat exchanger; Conduction; Fluid flow; Numerical model

Indexed keywords

BOREHOLE HEAT EXCHANGERS; BOREHOLE WALL; DYNAMIC BEHAVIOURS; DYNAMIC VARIATIONS; EXPLICIT REPRESENTATION; FINITE VOLUME APPROACH; FLUID TRANSPORT; HEAT TRANSFER AND FLUID FLOW; HEAT TRANSFER RATE; OUTLET TEMPERATURE; QUASI-STEADY STATE; THERMAL MASS; THREE-DIMENSIONAL NUMERICAL MODELS; TIME-SCALES; TRANSPORT DELAY; VALIDATION AND VERIFICATION; VELOCITY RANGE;

BOREHOLES; FLOW OF FLUIDS; GROUTING; HEAT CONDUCTION; HEAT EXCHANGERS; HEAT FLUX; MORTAR; NUMERICAL MODELS; THREE DIMENSIONAL;

TRANSPORT PROPERTIES;

ACCURACY ASSESSMENT; BOREHOLE; FINITE VOLUME METHOD; HEAT FLOW; HEAT TRANSFER; NONLINEARITY; NUMERICAL MODEL; TEMPERATURE GRADIENT; THERMAL CONDUCTIVITY; THREE-DIMENSIONAL MODELING;

EID: 84870231829     PISSN: 03756505     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geothermics.2012.10.004     Document Type: Article

References (43)

1. Al-Khoury R., BonnierF P.G., Brinkgreve R.B.J. Efficient finite element formulation for geothermal heating systems. Part I. Steady state. International Journal for Numerical Methods in Engineering 2005, 63:988-1013.
2. Al-Khoury R., Bonnier P.G. Efficient finite element formulation for geothermal heating systems. Part II. Transient. International Journal for Numerical Methods in Engineering 2006, 67:725-745.
3. Bauer D., Heidemann W., Diersch H.J.G. Transient 3D analysis of borehole heat exchanger modelling. Geothermics 2011, 40:250-260.
4. Bennet J., Claesson J., Hellstrom G. Multipole Method to Compute the Conductive Heat Flows to and Between Pipes in a Composite Cylinder 1987, University of Lund, Sweden.
5. Bosworth R.C.L. Distribution of reaction time for turbulent flow in cylindrical reactors. Philosophical Magazine Series 1949, 40:314-324.
6. Cui P., Yang H., Fang Z. Numerical analysis and experimental validation of heat transfer in ground heat exchangers in alternative operation modes. Energy and Buildings 2008, 40:1060-1066.
7. De Carli M., Tonon M., Zarrela A., Zecchin R. A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers. Renewable Energy 2010, 35:1537-1550.
8. Deng Z., Rees S.J., Spitler J.D. A model for annual simulation of standing column well ground heat exchangers. International Journal of Heating, Ventilation, Air-conditioning, and Refrigeration Research 2005, 11(4):637-656.
9. Diersch H.-J.G., Bauer D., Heidemann W., Ruhaak W., Schatzl P. Finite element modeling of borehole heat exchanger systems. Part 1. Fundamentals. Computers & Geosciences 2011, 37:1122-1135.
10. Eskilson, P., 1987. Thermal analysis of heat extraction boreholes. Doctoral Thesis. University of Lund.
11. Fan D., Rees S.J. Modeler Report for BESTEST Cases GC10a-GC80c: Gems3D, Version 2.07 2009, De Montfort University, Leicester.
12. Ferziger J.H., Perić M. Computational Methods for Fluid Dynamics 2002, Springer, Berlin.
13. Fisher D.E., Rees S.J., Padhmanabhan S.K., Murugappan A. Implementation and validation of ground-source heat pump system models in an integrated building and system simulation environment. International Journal of HVAC&R Research 2006, 12(3a):693-710.
14. Gentry J.E., Spitler J.D., Fisher D.E., Xu X. Simulation of hybrid ground source heat pump systems and experimental validation. 7th International Conference on System Simulation in Buildings 2006.
15. Gu Y., O'Neal D. Development of an equivalent diameter expression for vertical U-tubes used in ground-coupled heat pumps. ASHRAE Transactions 1998, 104(2):347-355.
16. Hanby V.I., Wright J.A., Fletcher D.W., Jones D.N.T. Modeling the dynamic response of conduits. International Journal of HVAC&R Research 2002, 8(1):1-12.
17. He, M., 2012. Numerical modelling of geothermal borehole heat exchanger systems. Doctoral Thesis. De Montfort University.
18. He M., Rees S.J., Shao L. Simulation of a domestic ground source heat pump system using a three-dimensional numerical borehole heat exchanger model. Journal of Building Performance Simulation 2010, 4:141-155.
19. Hellström, G., 1991. Ground heat storage: thermal analysis of duct storage systems. Part I. Theory. Doctoral Thesis. University of Lund.
20. Hern, S.A., 2004. Design of an experimental facility for hybrid ground source heat pump systems. Masters Thesis. Oklahoma State University.
21. Kummert M., Bernier M. Sub-hourly simulation of residential ground coupled heat pump systems. Building Services Engineering Research and Technology 2008, 29:27-44.
22. Li Z., Zheng M. Development of a numerical model for the simulation of vertical U-tube ground heat exchangers. Applied Thermal Engineering 2009, 29:920-924.
23. Marcotte D., Pasquirer P., Sheriff F., Bernier M. The importance of axial effects for borehole design of geothermal heat-pump systems. Renewable Energy 2010, 35:763-770.
24. Molina-Giraldo N., Blum P., Zhu K., Bayer P., Fang Z. A moving finite line source model to simulate borehole heat exchangers with groundwater advection. International Journal of Thermal Sciences 2011, 50:2506-2513.
25. Mottaghy D., Dijkshoorn L. Implementing an effective finite difference formulation for borehole heat exchangers into a heat and mass transport code. Renewable Energy 2012, 45:59-71.
26. Naiker S.S., Rees S.J. Monitoring and performance analysis of a large non-domestic ground source heat pump installation. Proceedings of CIBSE Technical Symposium 2011 2011.
27. Oppelt T., Riehl I., Gross U. Modelling of the borehole filling of double U-tube heat exchangers. Geothermics 2010, 39:270-276.
28. Paul, N.D., 1996. The effect of grout thermal conductivity on vertical geothermal heat exchanger design and performance. Masters Thesis. South Dakota State University.
29. Rees S.J., Spitler J.D., Xiao X. Transient analysis of snow-melting system performance. ASHRAE Transactions 2002, 108(2):406-423.
30. Rees S.J. The PGRID3D Parametric Grid Generation Tool User Guide, Version 1.2 2009, De Montfort University, Leicester.
31. Sankaranarayanan, K.P., 2005. Modeling, verification and optimization of hybrid ground source heat pump system in EnergyPlus. Masters Thesis. Oklahoma State University, Stillwater.
32. SEL A Transient Systems Simulation Program, User's Manual, Version 14.2 1997, Solar Energy Laboratory, University of Wisconsin-Madison.
33. Signorelli S., Bassetti S., Pahud D., Kohl T. Numerical evaluation of thermal response tests. Geothermics 2007, 36:141-166.
34. Singh A.K., Bhadauria B.S. Finite difference formula for unequal sub-intervals using Lagrange's interpolation formula. International Journal of Mathematics Analysis 2009, 17(3):815-827.
35. Spitler J.D., Culline J., Bernier M., Kummert M., Cui P., Liu X., Lee E., Fisher D.E. Preliminary intermodel comparison of ground heat exchanger simulation models. 11th International Conference on Thermal Energy Storage - Effstock 2009 2009.
36. Stone H.L. Iterative solution of implicit approximations of multidimensional partial differential equations. SIAM Journal of Numerical Analysis 1968, 5(3):530-538.
37. Wen C.Y., Fan L.T. Models for Flow Systems and Chemical Reactors 1975, Marcel Dekker Inc., New York.
38. Wetter M., Huber A. TRNSYS Type 451: Vertical Borehole Heat Exchanger EWS Model, Version 3.1 - Model Description and Implementing into TRNSYS. 1997, Transsolar GmbH, Stuttgart, Germany.
39. Xu X., Spitler J.D. Modeling of vertical ground loop heat exchangers with variable convective resistance and thermal mass of the fluid. Proceedings of the 10th International Conference on Thermal Energy Storage - Ecostock 2006 2006.
40. Yavuzturk C., Spitler J.D. A short time step response factor model for vertical ground loop heat exchangers. ASHRAE Transactions 1999, 105(2):475-485.
41. Yavuzturk C., Spitler J.D., Rees S.J. A transient two-dimensional finite volume model for the simulation of vertical U-tube ground heat exchangers. ASHRAE Transactions 1999, 105(2):465-474.
42. Young, T.R., 2004. Development, verification, and design analysis of the borehole fluid thermal mass model for approximating short term borehole thermal response. Masters Thesis. Oklahoma State University.
43. Zeng H.Y., Diao N.R., Fang Z.H. A finite line-source model for boreholes in geothermal heat exchangers. Heat Transfer - Asian Research 2002, 31(7):558-567.