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Research Article

Modelling air change rate of naturally ventilated dairy buildings using response surface methodology and numerical simulation

Qianying Yi1,2Guoqiang Zhang1( )Barbara Amon3,4Sabrina Hempel2David Janke2Chayan Kumer Saha5Thomas Amon2,6
Department of Engineering, Aarhus University, Skejby Nordlandsvej 301, 8200 Aarhus, Denmark
Department of Engineering for Livestock Management, Leibniz Institute for Agricultural Engineering and Bioeconomy (ATB), Max-Eyth-Allee 100, 14469 Potsdam, Germany
Department of Technology Assessment and Substance Cycles, Leibniz Institute for Agricultural Engineering and Bioeconomy (ATB), Max - Eyth-Allee 100, 14469 Potsdam, Germany
Faculty of Civil Engineering, Architecture and Environmental Engineering, University of Zielona Góra, Licealna 9/9, 65-417 Zielona Góra, Poland
Department of Farm Power and Machinery, Bangladesh Agricultural University, BAU Main Road, 2202 Mymensingh, Bangladesh
Institute of Animal Hygiene and Environmental Health, Department of Veterinary Medicine, Free University Berlin, Robert-von-Ostertag-Str. 7-13, 14163 Berlin, Germany
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Abstract

The air change rate (ACR) of naturally ventilated dairy buildings (NVDBs) plays an important part in the design and control of the ventilation system, as well as in the estimation of the gaseous emission rate. The objectives of this research were to model the ACR based on a quantitative investigation of the relationship between the ACR and its potential influencing factors, including the opening ratio (r), the building length to width ratio (α), the wind speed (U), and the wind direction (θ). The investigations were performed using the response surface methodology integrated with the Box-Behnken design and Computational Fluid Dynamics (CFD) simulations. Three response surface models of the ACR of NVDBs were established for three opening ratio ranges of 5%-42.5%, 42.5%-80%, and 5%-80%, respectively. It was found that the selection of the opening ratio range had almost no effect on the developed response surface models. The results showed that the ACR of NVDBs was not influenced by α, but was significantly affected by r, U, θ, and interaction effects between every two of the three factors. The highest ACR was 6.7 s-1, 6.0 s-1, and 4.0 s-1 when θ, U, and r was at their respective medium value while the rest parameters were at the highest values, indicating that the r played an important role in the value of ACR. It was concluded that in the prediction of the ACR of a building, the influences of both individual and interactional effects of θ, U, and r should be considered.

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Building Simulation
Pages 827-839
Cite this article:
Yi Q, Zhang G, Amon B, et al. Modelling air change rate of naturally ventilated dairy buildings using response surface methodology and numerical simulation. Building Simulation, 2021, 14(3): 827-839. https://doi.org/10.1007/s12273-020-0697-z

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Received: 20 January 2020
Accepted: 24 July 2020
Published: 19 September 2020
© Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020
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