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Dimensional Analysis and Sub-scaling of Building Thermal Airflow Dynamics Based on Simple Analytical Models


Dimensional Analysis and Sub-scaling of Building Thermal Airflow Dynamics Based on Simple Analytical Models

Zhang, Xin (2019) Dimensional Analysis and Sub-scaling of Building Thermal Airflow Dynamics Based on Simple Analytical Models. Masters thesis, Concordia University.

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Sub-scale model experiments are widely used in the design of natural/hybrid ventilation systems and the thermal mass of buildings to calibrate and validate simulation models, collect data, and guide preliminary designs. Defining a scaling law to relate a sub-scale model experiment to a full-size building is a good method to determine fabrication design and operation strategy. As a result, many previous studies have focused on airflow similarity between a sub-scale model and a full-size building in a steady state using dimensional analysis. These studies, however, lack integrated consideration of both airflow and heat transfer in a transient-state model. The purpose of this thesis is to build an analytical model for dimensional analysis in a simplified model and to define dimensionless numbers to consider integrated similarity. The thesis also discusses whether those dimensionless numbers can be applied to a complicated high-rise building. Both sub-scale and full-size simulation models are calibrated and validated using results of sub-scale model experiments. Subsequently, dimensionless results from both the sub-scale and full-size models are compared to verify the dimensionless numbers derived from the analytical model. Finally, counterpart results for a full-size model are calculated by the scaling law from sub-scale experiments for thermal mass application.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Building, Civil and Environmental Engineering
Concordia University > Research Units > Centre for Zero Energy Building Studies
Item Type:Thesis (Masters)
Authors:Zhang, Xin
Institution:Concordia University
Degree Name:M.A. Sc.
Program:Building Engineering
Date:6 March 2019
Thesis Supervisor(s):Wang, Liangzhu
Keywords:Sub-scale Model, 3D-Printing, Dimensional Analysis, Thermal Airflow
ID Code:985077
Deposited By: XIN ZHANG
Deposited On:17 Jun 2019 19:00
Last Modified:17 Jun 2019 19:00


[1] Minister of Natural Sources, “Energy Use Data Handbook – 1990 to 2015,” 2018, [Online], Available: http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/data_e/downloads/handbook/pdf/2015/HB2015e.pdf
[2] International Energy Agency, “The Future of Cooling. Opportunities for energy-efficient air conditioning.,” 2018, [Online], Available: https://www.iea.org/publications/freepublications/publication/The_Future_of_Cooling.pdf
[3] O. Saadatian, L. C. Haw, K. Sopian, and M. Y. Sulaiman, “Review of windcatcher technologies,” Renew. Sustain. Energy Rev., vol. 16, no. 3, pp. 1477–1495, Apr. 2012.
[4] G. Carrilho da Graça and P. Linden, “Ten questions about natural ventilation of non-domestic buildings,” Build. Environ., vol. 107, pp. 263–273, Oct. 2016.
[5] J. Cheng, “An Experimental and Computational Study of Natural and Hybrid Ventilation in Buildings,” MASc Thesis, Department of Building, Civil, and Environmental Engineering, Concordia University, 2017.
[6] Burge, S., Hedge, A., Wilson, S., Bass, J. H., & Robertson, A, “Sick Building Syndrome: A study of 4,373 office workers,” The Annals of Occupational Hygiene, Volume 31, Issue 4A, 1 January 1987, Pages 493–504, 1987.
[7] J. Chen, G. Augenbroe, and X. Song, “Evaluating the potential of hybrid ventilation for small to medium sized office buildings with different intelligent controls and uncertainties in US climates,” Energy Build., vol. 158, pp. 1648–1661, Jan. 2018.
[8] S. Ezzeldin and S. J. Rees, “The potential for office buildings with mixed-mode ventilation and low energy cooling systems in arid climates,” Energy Build., vol. 65, pp. 368–381, Oct. 2013.
[9] S. Yuan, C. Vallianos, A. Athienitis, and J. Rao, “A study of hybrid ventilation in an institutional building for predictive control,” Build. Environ., vol. 128, pp. 1–11, Jan. 2018.
[10] N. Artmann, H. Manz, and P. Heiselberg, “Climatic potential for passive cooling of buildings by night-time ventilation in Europe,” Appl. Energy, vol. 84, no. 2, pp. 187–201, Feb. 2007.
[11] B. M. Diaconu, “Thermal energy savings in buildings with PCM-enhanced envelope: Influence of occupancy pattern and ventilation,” Energy Build., vol. 43, no. 1, pp. 101–107, Jan. 2011.
[12] S. Takeda, K. Nagano, T. Mochida, and K. Shimakura, “Development of a ventilation system utilizing thermal energy storage for granules containing phase change material,” Sol. Energy, vol. 77, no. 3, pp. 329–338, Sep. 2004.
[13] K. Nagano, S. Takeda, T. Mochida, K. Shimakura, and T. Nakamura, “Study of a floor supply air conditioning system using granular phase change material to augment building mass thermal storage—Heat response in small scale experiments,” Energy Build., vol. 38, no. 5, pp. 436–446, May 2006.
[14] S. E. Kalnaes, B. Petter, and J. Ab, “Phase Change Materials for Building Applications: A State-of-the-Art Review and Future Research Opportunities,” Energy Build., vol. 42, no. 9, pp. 1361–1368, Sep. 2010.
[15] M. Iten, S. Liu, and A. Shukla, “A review on the air-PCM-TES application for free cooling and heating in the buildings,” Renew. Sustain. Energy Rev., vol. 61, pp. 175–186, Aug. 2016.
[16] Q. Chen, “Ventilation performance prediction for buildings: A method overview and recent applications,” Build. Environ., vol. 44, no. 4, pp. 848–858, Apr. 2009.
[17] F. Kuznik, J. Virgone, and K. Johannes, “Development and validation of a new TRNSYS type for the simulation of external building walls containing PCM,” Energy Build., vol. 42, no. 7, pp. 1004–1009, Jul. 2010.
[18] A. Acred and G. R. Hunt, “Stack ventilation in multi-storey atrium buildings: A dimensionless design approach,” Build. Environ., vol. 72, pp. 44–52, 2014.
[19] D. Coakley, P. Raftery, and M. Keane, “A review of methods to match building energy simulation models to measured data,” Renew. Sustain. Energy Rev., vol. 37, pp. 123–141, 2014.
[20] M.-L. Persson, A. Roos, and M. Wall, “Influence of window size on the energy balance of low energy houses,” Energy Build., vol. 38, no. 3, pp. 181–188, Mar. 2006.
[21] W. Ding, Y. Hasemi, and T. Yamada, “Natural ventilation performance of a double-skin façade with a solar chimney,” Energy Build., vol. 37, no. 4, pp. 411–418, 2005.
[22] J. M. Lirola, E. Castañeda, B. Lauret, and M. Khayet, “A review on experimental research using scale models for buildings: Application and methodologies,” Energy Build., vol. 142, pp. 72–110, 2017.
[23] J. M. Lirola, “Simulation of thermal performance of glazing in the architecture using scale models,” PhD. Thesis, Department of Construction and Building Technology, Technical University of Madrid, 2015.
[24] W. Tian, X. Han, W. Zuo, and M. D. Sohn, “Building energy simulation coupled with CFD for indoor environment: A critical review and recent applications,” Energy Build., vol. 165, pp. 184–199, Apr. 2018.
[25] E. Djunaedy, J. Hensen, T. U. Eindhoven, T. U. Eindhoven, and P. Climate, “Toward external coupling of building energy and airflow modeling programs,” ASHRAE Trans., vol. 109, no. 2, pp. 771–787, 2003.
[26] A. K. Athienitis and L. (William) O’Brien, “Modeling, design, and optimization of net-zero energy buildings. ” Book, 2015 .
[27] A. Foucquier, S. Robert, F. Suard, L. Stéphan, and A. Jay, “State of the art in building modelling and energy performances prediction: A review,” Renew. Sustain. Energy Rev., vol. 23, pp. 272–288, Jul. 2013.
[28] A. W. W. J.M.Holford, “On the thermal buffering of naturally ventilated buildings through internal thermal mass,” J. Fluid Mech, vol. 580, pp. 3–29, 2018.
[29] G. Brager, S. Borgeson, and Y. Lee, “Summary Report: Control Strategies for Mixed-Mode Buildings,” Report, UC Berkeley, Oct. 2007.
[30] G. Brager and L. Baker, “Occupant satisfaction in mixed-mode buildings,” Build. Res. Inf., vol. 37, no. 4, pp. 369–380, Aug. 2009.
[31] H. C. Spindler and L. K. Norford, “Naturally ventilated and mixed-mode buildingsdPart I: Thermal modeling,” Build. Environ., vol. 44, pp. 736–749.
[32] M. Simonetti, V. Gentile, L. Liggieri, G. V. Fracastoro, and M. G. Carrabba, “Experimental analysis of ‘NAC-wall’ for hybrid ventilation mode,” Energy Build., vol. 152, pp. 399–408, Oct. 2017.
[33] D. Yang and P. Li, “Dimensionless design approach, applicability and energy performance of stack-based hybrid ventilation for multi-story buildings,” Energy, 93, pp.128-140. 2015.
[34] W. J. N. Turner and H. B. Awbi, “Experimental investigation into the thermal performance of a residential hybrid ventilation system,” Applied Thermal Engineering, 77, pp.142-152. 2015.
[35] P. Karava, A. K. Athienitis, T. Stathopoulos, and E. Mouriki, “Experimental study of the thermal performance of a large institutional building with mixed-mode cooling and hybrid ventilation,” Build. Environ., vol. 57, pp. 313–326, Nov. 2012.
[36] M. Telkes, “thermal energy storage using sodium sulfate decahydrate and water,” Sol. Energy, vol. 20, no. 1, p. 107, Jan. 1978.
[37] M. M. Farid, A. M. Khudhair, A. K. Razack, and S. Al-Hallaj, “A review on phase change energy storage: materials and applications,” Energy Convers. Manag., vol. 45, pp. 1597–1615, 2004.
[38] F. Guarino, A. Athienitis, M. Cellura, and D. Bastien, “PCM thermal storage design in buildings: Experimental studies and applications to solaria in cold climates,” Appl. Energy, vol. 185, pp. 95–106, Jan. 2017.
[39] K. Yanbing, J. Yi, and Z. Yinping, “Modeling and experimental study on an innovative passive cooling system—NVP system,” Energy Build., vol. 35, no. 4, pp. 417–425, May 2003.
[40] J. Axley, “Multizone Airflow Modeling in Buildings: History and Theory,” HVAC&R Res., vol. 13, no. 6, pp. 907–928, Nov. 2007.
[41] Z. Zhai, Q. Chen, P. Haves, and J. H. Klems, “On approaches to couple energy simulation and computational fluid dynamics programs,” Build. Environ., vol. 37, no. 8–9, pp. 857–864, Aug. 2002.
[42] M. L. Hosain and R. B. Fdhila, “Literature Review of Accelerated CFD Simulation Methods towards Online Application,” Energy Procedia, vol. 75, pp. 3307–3314, Aug. 2015.
[43] W. Zuo and Q. Chen, “Real-time or faster-than-real-time simulation of airflow in buildings,” Indoor Air, vol. 19, no. 1, pp. 33–44, Feb. 2009.
[44] A. Katal, L. Wang, W. S. Dols, and B. J. Polidoro, “An Investigation of Different Strategies For Solving Coupled Thermal Airflows By Multi-Zone Network Method,” Conference of COBEE, pp.614-619, 2018.
[45] Y.-H. Lim, H.-W. Yun, and D. Song, “Indoor Environment Control and Energy Saving Performance of Hybrid Ventilation System for a Multi-residential Building,” Energy Procedia, vol. 78, pp. 2863–2868, 2015.
[46] Z. Zhai, M.-H. Johnson, and M. Krarti, “Assessment of natural and hybrid ventilation models in whole-building energy simulations,” Energy Build., vol. 43, pp. 2251–2261, 2011.
[47] G. Astarita, “Dimensional analysis, scaling, and orders of magnitude,” Chem. Eng. Sci., vol. 52, no. 24, pp. 4681–4698, 1997.
[48] H. Hossdorf and C. Hernández, “Modelos reducidos: métodos de cálculo,” Instituto Eduardo Torroja de la Construcción y del Cemento, 1972.
[49] P. Y. Cui, Z. Li, and W. Q. Tao, “Wind-tunnel measurements for thermal effects on the air flow and pollutant dispersion through different scale urban areas,” Build. Environ., vol. 97, pp. 137–151, 2016.
[50] T. Minehiro, K. Fujita, N. Kawabata, M. Hasegawa, and F. Tanaka, “Backlayering Distance of Thermal Fumes in Tunnel Fire Experiments Using a Large-Scale Model*,” J. Fluid Sci. Technol., vol. 7, no. 3, 2012.
[51] D. Qi, L. Wang, and R. Zmeureanu, “An analytical model of heat and mass transfer through non-adiabatic high-rise shafts during fires,” Int. J. Heat Mass Transf., vol. 72, pp. 585–594, May 2014.
[52] D. Qi, L. (Leon) Wang, J. Ji, and M. Li, “Dimensionless analytical solutions for steady-state fire smoke spread through high-rise shaft,” Fire Saf. J., vol. 93, pp. 12–20, Oct. 2017.
[53] D. Qi and D. Qi, “Analytical Modeling of Fire Smoke Spread in High-rise Buildings,” PhD. Thesis, Department of Building, Civil, and Environmental Engineering, Concordia University, 2016.
[54] S.-K. SONG and K. KIMURA, “Experimental study on the prediction of cooling load of large factory space using three dimensional model,” J. Archit. Plan. (Transactions AIJ), vol. 67, no. 553, pp. 77–83, 2002.
[55] Y. SUWA and T. TSUCHIYA, “Experimental study using a shrink model on highperformance airflow design for air-conditioning system in data centers,” J. Environ. Eng. (Transactions AIJ), vol. 77, no. 675, pp. 365–374, May 2012.
[56] T. Miura, Y. Ito, Y. Murae, S. Kuriki, and K. Sasagase, “Study on Natural Ventilation System of Office Building by Double Skin and Solar Chimney Part 1 Outline of Natural Ventilation System and Measurement Result of Ventilation Volume by Experimental Scaled-down Model,” Soc. Heating, Air-Conditioning Sanit. Eng. Japan, p. B-41, 2015.
[57] Y. Li et al., “Some examples of solution multiplicity in natural ventilation,” Build. Environ., vol. 36, no. 7, pp. 851–858, 2001.
[58] J. Cheng, D. Qi, L. Wang, and A. Athienitis, “Whole-Building Simulation of Hybrid Ventilation based on Full-scale Measurements in an Institutional High-rise Building for Predictive Control,” Proceedings of 15th International Conference of IBPSA. 2017.
[59] D. Qi, W. Li, J. Cheng, and L. Wang, “Scale Modelling of Thermal Airflows in Buildings, ” Coference of COBEE, pp.609-613, 2018.
[60] F. Agyenim, N. Hewitt, P. Eames, and M. Smyth, “A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS),” Renewable and sustainable energy reviews, 14(2), pp.615-628, 2010.
[61] H. Kotani, R. Satoh, and T. Yamanaka, “Natural ventilation of light well in high-rise apartment building,” Energy and Buildings, 35(4), pp.427-434, 2003.
[62] Y. Andersen, A.; Bjerre, M.; Chen, Z. D.; Heiselberg, Per Kvols; Li, “Experimental Study of Wind-Opposed Buoyancy-Driven Natural Ventilation,” Proceedings 21 st AIVC Annual Conference of Innovations in Ventilation Technology, pp. 26-29, 2000.
[63] M. Ahmad, A. Bontemps, H. Sallée, and D. Quenard, “Thermal testing and numerical simulation of a prototype cell using light wallboards coupling vacuum isolation panels and phase change material,” Energy Build., vol. 38, no. 6, pp. 673–681, Jun. 2006.
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