3D Numerical Modeling to Evaluate the Thermal Performance of Single and Double U-tube Ground-coupled Heat Pump

Ali H. Tarrad

Abstract


The heat transfer rate and borehole design represent great challenges to the thermal equipment designer of the ground-coupled heat pump. The present model represents a mathematical and numerical technique implemented to tackle such a problem. A thermal assessment was established to estimate the total energy dissipated to the ground zone for a heat pump utilized for cooling purposes in the summer season. Comsol Multiphysics 5.4 software was used to build a 3-dimensional model to assess the thermal performance of single and double U-tube boreholes that circulate water as a thermal transfer medium. The (Heat Transfer) module has been implemented for this investigation under the (Stationary) study option. The model couples both heat conduction in solids, including tube metal, grout, and soil regions, and thermal medium fluid flow inside the U-tubes. The numerical solutions were compared for both heat exchangers at fixed borehole geometry, diameter, and depth and constant operating conditions in a steady-state mode. The double U-tube heat exchanger was tested in the parallel circuiting orientation of the U-tubes. The total mean resistance of the single U-tube borehole was higher than the half-loading double U-tube heat exchangers by 14.6%. The results also revealed that the heat transfer rate enhancement for the double U-tube was in the range of 10–14% when operating at the same fluid mass flow rate and inlet temperature for a given borehole design.

 

Doi: 10.28991/HIJ-2022-03-02-01

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Keywords


Borehole Design; Ground-Coupled Heat Pump; Numerical Modeling; Thermal Performance.

References


Ingersoll, L. R., Zobel, O. J., & Ingersoll, A. C. (1955). Heat Conduction with Engineering, Geological, and Other Applications. Physics Today. 8(3). New York, United States. doi:10.1063/1.3061951.

Muttil, N., & Chau, K. W. (2006). Neural network and genetic programming for modelling coastal algal blooms. International Journal of Environment and Pollution, 28(3–4), 223–238. doi:10.1504/IJEP.2006.011208.

Ingersoll, L. R., Zobel, O. J., & Ingersoll, A. C. (1955). Heat Conduction with Engineering, Geological, and Other Applications. Physics Today 8(3). University of Wisconsin Press, Madison. doi:10.1063/1.3061951.

Carslaw, H.S. and Jaeger, J.C. (1959). Conduction of heat in solids, (2nd Ed.); Oxford University Press, London, United Kingdom.

Kavanaugh, S. P. (1985). Simulation and experimental verification of vertical ground-coupled heat pump systems. PhD Thesis Oklahoma State University, Stillwater, United States.

Zeng, H., & Fang, Z. A fluid temperature model for vertical U-tube geothermal heat exchangers. Journal of Shandong Institute of Architecture and Engineering, 17(1), 7–10.

Zeng, H. Y., Diao, N. R., & Fang, Z. H. (2002). A finite line-source model for boreholes in geothermal heat exchangers. Heat Transfer - Asian Research, 31(7), 558–567. doi:10.1002/htj.10057.

Yavuzturk, C., Spitler, J. D., & Rees, S. J. (1999). A Transient two-dimensional finite volume model for the simulation of vertical U-tube ground heat exchangers. ASHRAE Transactions, 105(2), 465–474.

Li, Z., & Zheng, M. (2009). Development of a numerical model for the simulation of vertical U-tube ground heat exchangers. Applied Thermal Engineering, 29(5–6), 920–924. doi:10.1016/j.applthermaleng.2008.04.024.

Chiasson, A. D., Spitler, J. D., Rees, S. J., & Smith, M. D. (2000). Model for simulating the performance of a shallow pond as a supplemental heat rejecter with closed-loop ground-source heat pump systems. ASHRAE Transactions, 106(2), 107–121.

Fisher, D. E., & Rees, S. J. (2005). Modeling ground source heat pump systems in a building energy simulation program (energyplus). IBPSA 2005 - International Building Performance Simulation Association 2005, 311–318.

Zanchini, E., Lazzari, S., & Priarone, A. (2010). Effects of flow direction and thermal short-circuiting on the performance of small coaxial ground heat exchangers. Renewable Energy, 35(6), 1255–1265. doi:10.1016/j.renene.2009.11.043.

Zanchini, E., Lazzari, S., & Priarone, A. (2010). Improving the thermal performance of coaxial borehole heat exchangers. Energy, 35(2), 657–666. doi:10.1016/j.energy.2009.10.038.

Bauer, D., Heidemann, W., & Diersch, H. J. G. (2011). Transient 3D analysis of borehole heat exchanger modeling. Geothermics, 40(4), 250–260. doi:10.1016/j.geothermics.2011.08.001.

Rees, S. J., & He, M. (2013). A three-dimensional numerical model of borehole heat exchanger heat transfer and fluid flow. Geothermics, 46, 1–13. doi:10.1016/j.geothermics.2012.10.004.

Song, X., Lyu, Z., Li, G., Sheng, M., Liu, J., Li, R., & Shi, Y. (2017). Numerical analysis of characteristics of a single U-tube downhole heat exchanger in the geothermal reservoir. Transactions - Geothermal Resources Council, 41, 227–245.

Shonder, J. A., & Beck, J. V. (1999). Determining effective soil formation thermal properties from field data using a parameter estimation technique. ASHRAE Transactions, 105, 458–466.

Gu, Y., & O’Neal, D. L. (1998). Development of an equivalent diameter expression for vertical U-tubes used in ground-coupled heat pumps. ASHRAE Transactions, 104(2), 347–355.

H. Tarrad, A. (2019). A Borehole Thermal Resistance Correlation for a Single Vertical DX U-Tube in Geothermal Energy Application. American Journal of Environmental Science and Engineering, 3(4), 75. doi:10.11648/j.ajese.20190304.12.

Garbai, L. (2008). Heat capacity of vertical ground heat exchangers with single U-tube installation in the function of time. WSEAS Transactions on Heat and Mass Transfer, 3(3), 177–186.

COMSOL Multiphysics Version 5.4. (2018). Heat transfer module user guide. COMSOL Inc. Stockholm, Sweden

Sagia, Z., Stegou, A., & Rakopoulos, C. (2012). Borehole Resistance and Heat Conduction around Vertical Ground Heat Exchangers. The Open Chemical Engineering Journal, 6(1), 32–40. doi:10.2174/1874123101206010032.

Chua, K. J., Chou, S. K., & Yang, W. M. (2010). Advances in heat pump systems: A review. Applied Energy, 87(12), 3611–3624. doi:10.1016/j.apenergy.2010.06.014.

Banks, D. (2012). An introduction to thermogeology: Ground source heating and cooling: Second edition. In An Introduction to Thermogeology: Ground Source Heating and Cooling: Second Edition. Blackwell Publishing. doi:10.1002/9781118447512.

Kavanaugh, S. P., & Rafferty, K. (1997). Design of geothermal systems for commercial and institutional buildings. ASHRAE Transactions (Vol. 17). American Society of Heating, Refrigeration and Air Conditioning Engineers, Georgia, United States.

Bird, R. B. (2002). Transport phenomena. Applied Mechanics Reviews, 55(1), R1–R4. doi:10.1115/1.1424298.

Zhu, L., Chen, S., Yang, Y., & Sun, Y. (2019). Transient heat transfer performance of a vertical double U-tube borehole heat exchanger under different operation conditions. Renewable Energy, 131, 494–505. doi:10.1016/j.renene.2018.07.073.


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DOI: 10.28991/HIJ-2022-03-02-01

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