Abstract
Although there are several correlations for estimating the convective heat transfer coefficient (CHTC) of standalone buildings, the heat transfer properties of buildings arranged in tandem, staggered, or disorderly are not fully understood. In the current study, the CHTC of cubical buildings in several tandem and staggered configurations were studied in detail, using RANS numerical simulations. The simulations were performed for 60 different configurations, containing 5 different backward distances (B), 4 lateral distances (L), and 3 incident wind velocities (U10). Simulation results showed that the CHTC of the rear building increased with its distance from the front building when there was no lateral distance between the two buildings. For the staggered configuration, however, the CHTC of the rear building was affected by the wake structure of the front building. The simulation results also showed that the CHTC averaged on all facades of the rear building was proportional to \({U}_{10}^{0.911}\) for all the studied cases. Based on the presented numerical results, a correlation to estimate the average CHTC of the rear building as a function of the backward distance, lateral distance, and wind velocity was developed.
Similar content being viewed by others
References
Sabek S, Tiss F, Chouikh R, Guizani A (2018) Numerical investigation of heat and mass transfer in partially blocked membrane based heat exchanger: Effects of obstacles forms. Appl Therm Eng 130:211–220. https://doi.org/10.1016/j.applthermaleng.2017.11.019
Garoosi F, Rashidi MM (2017) Two phase flow simulation of conjugate natural convection of the nanofluid in a partitioned heat exchanger containing several conducting obstacles. Int J Mech Sci 130:282–306. https://doi.org/10.1016/j.ijmecsci.2017.06.020
Popovac M, Hanjalić K (2009) Vortices and heat flux around a wall-mounted cube cooled simultaneously by a jet and a crossflow. Int J Heat Mass Transf 52:4047–4062. https://doi.org/10.1016/j.ijheatmasstransfer.2009.03.042
Masip Y, Campo A, Nuñez SM (2020) Experimental analysis of the thermal performance on electronic cooling by a combination of cross-flow and an impinging air jet. Appl Therm Eng 167:114779. https://doi.org/10.1016/j.applthermaleng.2019.114779
Ali E, Park J, Choi J, Han C, Park H (2022) Enhanced thermal performance of vortex generating liquid heat sink for the application of cooling high voltage direct current devices. Heat Mass Transf. https://doi.org/10.1007/s00231-021-03168-w
Murmu SC, Bhattacharyya S, Chattopadhyay H, Biswas R (2020) Analysis of heat transfer around bluff bodies with variable inlet turbulent intensity: A numerical simulation. Int Commun Heat Mass Transf 117:104779. https://doi.org/10.1016/j.icheatmasstransfer.2020.104779
Nanjundappa M (2021) Nusselt number and friction factor correlations for the solar air heater duct furnished with artificial cube shaped roughness elements on the absorber plate. Heat Mass Transf 57:1997–2013. https://doi.org/10.1007/s00231-021-03067-0
Solnař S, Dostál M (2021) Thermal enhancement factors for 3D printed elements in square tube. Heat Mass Transf. https://doi.org/10.1007/s00231-021-03133-7
Jia H, Chong A (2021) eplusr: A framework for integrating building energy simulation and data-driven analytics. Energy Build 237:110757. https://doi.org/10.1016/j.enbuild.2021.110757
Ascione F, Bianco N, Iovane T, Mastellone M, Mauro GM (2021) Conceptualization, development and validation of EMAR: A user-friendly tool for accurate energy simulations of residential buildings via few numerical inputs. J Build Eng 44:102647. https://doi.org/10.1016/j.jobe.2021.102647
Obyn S, van Moeseke G (2015) Variability and impact of internal surfaces convective heat transfer coefficients in the thermal evaluation of office buildings. Appl Therm Eng 87:258–272. https://doi.org/10.1016/j.applthermaleng.2015.05.030
Gonçalves JE, Montazeri H, van Hooff T, Saelens D (2021) Performance of building integrated photovoltaic facades: Impact of exterior convective heat transfer. Appl Energy 287:116538. https://doi.org/10.1016/j.apenergy.2021.116538
Goverde H, Goossens D, Govaerts J, Dubey V, Catthoor F, Baert K, Poortmans J, Driesen J (2015) Spatial and temporal analysis of wind effects on PV module temperature and performance. Sustain Energy Technol Assessments 11:36–41. https://doi.org/10.1016/j.seta.2015.05.003
Karava P, Jubayer CM, Savory E (2011) Numerical modelling of forced convective heat transfer from the inclined windward roof of an isolated low-rise building with application to photovoltaic/thermal systems. Appl Therm Eng 31:1950–1963. https://doi.org/10.1016/j.applthermaleng.2011.02.042
Mirsadeghi M, Cóstola D, Blocken B, Hensen JLM (2013) Review of external convective heat transfer coefficient models in building energy simulation programs: Implementation and uncertainty. Appl Therm Eng 56:134–151. https://doi.org/10.1016/j.applthermaleng.2013.03.003
Iousef S, Montazeri H, Blocken B, van Wesemael P (2019) Impact of exterior convective heat transfer coefficient models on the energy demand prediction of buildings with different geometry. Build Simul 12:797–816. https://doi.org/10.1007/s12273-019-0531-7
Kahsay MT, Bitsuamlak G, Tariku F (2020) Effect of localized exterior convective heat transfer on high-rise building energy consumption. Build Simul 13:127–139. https://doi.org/10.1007/s12273-019-0568-7
Crawley DB, Hand JW, Kummert M, Griffith BT (2008) Contrasting the capabilities of building energy performance simulation programs. Build Environ 43:661–673. https://doi.org/10.1016/j.buildenv.2006.10.027
Palyvos JA (2008) A survey of wind convection coefficient correlations for building envelope energy systems’ modeling. Appl Therm Eng 28:801–808. https://doi.org/10.1016/j.applthermaleng.2007.12.005
Hens H (2012) Building Physics - Heat, Air and Moisture: Fundamentals and Engineering Methods with Examples and Exercises. John Wiley & Sons, United States. https://doi.org/10.1002/9783433601297
Künzel HM, Kiessl K (1996) Calculation of heat and moisture transfer in exposed building components. Int J Heat Mass Transf 40:159–167. https://doi.org/10.1016/S0017-9310(96)00084-1
Janssen H, Blocken B, Carmeliet J (2007) Conservative modelling of the moisture and heat transfer in building components under atmospheric excitation. Int J Heat Mass Transf 50:1128–1140. https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.048
Jayamaha SEG, Wijeysundera NE, Chou SK (1996) Measurement of the heat transfer coefficient for walls. Build Environ 31:399–407. https://doi.org/10.1016/0360-1323(96)00014-5
Liu Y, Harris DJ (2007) Full-scale measurements of convective coefficient on external surface of a low-rise building in sheltered conditions. Build Environ 42:2718–2736. https://doi.org/10.1016/j.buildenv.2006.07.013
Sparrow EM, Ramsey JW, Mass EA (1979) Effect of finite width on heat transfer and fluid flow about an inclined rectangular plate. J Heat Transf 101:199–204. https://doi.org/10.1115/1.3450946
Nakamura H, Igarashi T, Tsutsui T (2001) Local heat transfer around a wall-mounted cube in the turbulent boundary layer. Int J Heat Mass Transf 44:3385–3395. https://doi.org/10.1016/S0017-9310(01)00009-6
Natarajan V, Chyu MK (1994) Effect of flow angle-of-attack on the local heat/mass transfer from a wall-mounted cube. J Heat Transf 116:552–560. https://doi.org/10.1115/1.2910906
Cliyn MK, Natarajan V (1991) Local heat/iass transfer distributions on the surface of a wall-mounted cube. J Heat Transf 113:851–857. https://doi.org/10.1115/1.2911213
Meinders ER, Hanjalic K, Martinuzzi RJ (1999) Experimental study of the local convection heat transfer from a wall-mounted cube in turbulent channel flow. J Heat Transf 121:564–573. https://doi.org/10.1115/1.2826017
Defraeye T, Blocken B, Carmeliet J (2011) Convective heat transfer coefficients for exterior building surfaces: Existing correlations and CFD modelling. Energy Convers Manag 52:512–522. https://doi.org/10.1016/j.enconman.2010.07.026
Emmel MG, Abadie MO, Mendes N (2007) New external convective heat transfer coefficient correlations for isolated low-rise buildings. Energy Build 39:335–342. https://doi.org/10.1016/j.enbuild.2006.08.001
Blocken B, Defraeye T, Derome D, Carmeliet J (2009) High-resolution CFD simulations for forced convective heat transfer coefficients at the facade of a low-rise building. Build Environ 44:2396–2412. https://doi.org/10.1016/j.buildenv.2009.04.004
Defraeye T, Blocken B, Carmeliet J (2010) CFD analysis of convective heat transfer at the surfaces of a cube immersed in a turbulent boundary layer. Int J Heat Mass Transf 53:297–308. https://doi.org/10.1016/j.ijheatmasstransfer.2009.09.029
Montazeri H, Blocken B (2017) New generalized expressions for forced convective heat transfer coefficients at building facades and roofs. Build Environ 119:153–168. https://doi.org/10.1016/j.buildenv.2017.04.012
Montazeri H, Blocken B (2018) Extension of generalized forced convective heat transfer coefficient expressions for isolated buildings taking into account oblique wind directions. Build Environ 140:194–208. https://doi.org/10.1016/j.buildenv.2018.05.027
Liu S, Pan W, Zhao X, Zhang H, Cheng X, Long Z, Chen Q (2018) Influence of surrounding buildings on wind flow around a building predicted by CFD simulations. Build Environ 140:1–10. https://doi.org/10.1016/j.buildenv.2018.05.011
Liu J, Srebric J, Yu N (2013) Numerical simulation of convective heat transfer coefficients at the external surfaces of building arrays immersed in a turbulent boundary layer. Int J Heat Mass Transf 61:209–225. https://doi.org/10.1016/j.ijheatmasstransfer.2013.02.005
Awol A, Bitsuamlak GT, Tariku F (2020) Numerical estimation of the external convective heat transfer coefficient for buildings in an urban-like setting. Build Environ 169:106557. https://doi.org/10.1016/j.buildenv.2019.106557
Zu G, Lam KM (2018) LES and wind tunnel test of flow around two tall buildings in staggered arrangement. Computation 6:28. https://doi.org/10.3390/computation6020028
Meinders ER (1998) Experimental study of heat transfer in turbulent flows over wall-mounted cubes. Delft University of Technology
Meinders ER, van der Meer TH, Hanjalić K, Lasance CJM (1997) Application of infrared thermography to the evaluation of local convective heat transfer on arrays of cubical protrusions. Int J Heat Fluid Flow 18:152–159. https://doi.org/10.1016/S0142-727X(96)00139-7
Montazeri H, Blocken B, Derome D, Carmeliet J, Hensen JLM (2015) CFD analysis of forced convective heat transfer coefficients at windward building facades: Influence of building geometry. J Wind Eng Ind Aerodyn 146:102–116. https://doi.org/10.1016/j.jweia.2015.07.007
Buechner T, Urbanitz D (1980) Pro-Kontra: Immuntherapie Der Akuten Leukamie. Argumente Fur Eine Immuntherapie Internist 21:362–366
Tominaga Y, Mochida A, Yoshie R, Kataoka H, Nozu T, Yoshikawa M, Shirasawa T (2008) AIJ guidelines for practical applications of CFD to pedestrian wind environment around buildings. J Wind Eng Ind Aerodyn 96:1749–1761. https://doi.org/10.1016/j.jweia.2008.02.058
Blocken B (2015) Computational Fluid Dynamics for urban physics: Importance, scales, possibilities, limitations and ten tips and tricks towards accurate and reliable simulations. Build Environ 91:219–245. https://doi.org/10.1016/j.buildenv.2015.02.015
Blocken B, Carmeliet J, Stathopoulos T (2007) CFD evaluation of wind speed conditions in passages between parallel buildings-effect of wall-function roughness modifications for the atmospheric boundary layer flow. J Wind Eng Ind Aerodyn 95:941–962. https://doi.org/10.1016/j.jweia.2007.01.013
Blocken B, Stathopoulos T, Carmeliet J (2007) CFD simulation of the atmospheric boundary layer: wall function problems. Atmos Environ 41:238–252. https://doi.org/10.1016/j.atmosenv.2006.08.019
Goldberg U, Peroomian O, Chakravarthy S (1998) A wall-distance-free K-ϵ model with enhanced near-wall treatment. J Fluids Eng Trans ASME 120:457–462. https://doi.org/10.1115/1.2820684
Janna WS (2009) Introduction to Fluid Mechanics. John Wiley & Sons. https://doi.org/10.1201/9781420085259
Niranjan RS, Singh O, Ramkumar J (2022) Numerical study on thermal analysis of square micro pin fins under forced convection. Heat Mass Transf 58:263–281. https://doi.org/10.1007/s00231-021-03105-x
Shah S, Parwani AK (2021) Estimation of local heat flux with CFD and enhanced conjugate gradient method for laminar and turbulent flow in a helical coil tube heat exchanger. Heat Mass Transf. https://doi.org/10.1007/s00231-021-03138-2
Wolfshtein M (1969) The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient. Int J Heat Mass Transf 12:301–318. https://doi.org/10.1016/0017-9310(69)90012-X
Richards PJ, Hoxey RP (1993) Appropriate boundary conditions for computational wind engineering models using the k-ϵ turbulence model. J Wind Eng Ind Aerodyn 46–47:145–153. https://doi.org/10.1016/0167-6105(93)90124-7
Wieringa J (1992) Updating the Davenport roughness classification. J Wind Eng Ind Aerodyn 41:357–368. https://doi.org/10.1016/0167-6105(92)90434-C
Balogh M, Parente A, Benocci C (2012) RANS simulation of ABL flow over complex terrains applying an Enhanced k-ε model and wall function formulation: Implementation and comparison for fluent and OpenFOAM. J Wind Eng Ind Aerodyn 104–106:360–368. https://doi.org/10.1016/j.jweia.2012.02.023
Funding
The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.
Author information
Authors and Affiliations
Contributions
Conceptualization: [Morteza Anbarsooz], Methodology: [Morteza Anbarsooz], Formal analysis and investigation: [Morteza Anbarsooz, Hadi Mirian], Writing–original draft preparation: [Morteza Anbarsooz, Goodarz Ahmadi]; Resources: [Morteza Anbarsooz, Hadi Mirian], Supervision: [Morteza Anbarsooz, Goodarz Ahmadi].
Corresponding author
Ethics declarations
Competing interests
The authors have no relevant financial or non-financial interests to disclose.
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Anbarsooz, M., Mirian, H. & Ahmadi, G. Numerical analysis of convective heat transfer coefficients at the facades of two cubical buildings in tandem and staggered configurations. Heat Mass Transfer 58, 1979–1996 (2022). https://doi.org/10.1007/s00231-022-03226-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-022-03226-x