Climate Behaviour and Plant Heat Activity of a Citrus Tunnel Greenhouse: A Computational Fluid Dynamic Study
Abstract
:1. Introduction
2. Materials and Methods
2.1. Experimental Setup
2.2. Computational Domain
2.3. Theory
2.3.1. Transport Equation
- Mass conservation equation
- Momentum equation
- Turbulent kinetic energy equation
- Turbulent kinetic energy dissipation rate equation
- Species Transport Equations
- Energy equation
2.3.2. Buoyancy Modelling
2.3.3. Radiation Modelling
2.3.4. Heat Modelling inside Solid Cover
2.3.5. Crop Modelling
Flow through Plants
Canopy Water Vapour Transfers
Canopy Heat Transfers
Canopy Radiation Interaction
3. Results and Discussion
3.1. Model Validation
3.2. Greenhouse Radiative and Heat Transfers Analysis
3.3. Greenhouse Microclimate Details
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Crop Radiation Absorption Coefficient for Long Wavelength (Band 1)
Appendix B. Crop Radiation Scattering Coefficient for Long Wavelength (Band 1)
Appendix C. Crop Radiation Absorption Coefficient for Short Wavelength (Band 0)
Appendix D. Crop Radiation Scattering Coefficient for Short Wavelength (Band 0)
Appendix E. Crop Radiation Emission
Appendix F. Cover Thin Wall Model
- ,,
Property | Modified Plastic (PE) | Unit | |
---|---|---|---|
Density | 7.286 | ||
Specific heat | 3.15 | ||
Thermal conductivity (where x, y, z are locale coordinates and x is normal to the cover) | |||
Absorption coefficient | 6.43 | ||
Refractive Index | 1.4 | - | |
Absorption coefficient | 32.89 | ||
Refractive Index | 1.0 | - |
Appendix G. Boundary Conditions
Parameter | Value |
---|---|
External relative humidity | |
External temperature | |
External wind speed | |
External wind direction | |
External global solar radiation | |
Substrate and inside soil temperature |
Equation | Boundary Conditions |
---|---|
Vapour transport equation | Imposed water mass fraction equivalent to the external experimental |
Radiation equation | Imposed blackbody temperature |
Energy equation | Imposed temperature from experimental data |
Momentum equation | Mass-flow inlet (Mass-flow outlet): Imposed mass flux and direction corresponding to experimental speed |
Equation | Boundary Conditions |
---|---|
Water vapour transport | Imposed water mass fraction equivalent to the external experimental |
Radiation | Short wavelength radiation: experimental value. Long wavelength radiation: With is the global solar radiation outside the greenhouse. |
Energy | Imposed temperature from experimental data |
Momentum | Moving wall with imposed speed and direction equal to outside air experimental speed |
Equation | Boundary Conditions |
---|---|
Radiation | Semi-transparent wall with zero thickness. |
Energy | Coupled wall |
Momentum | No-slip condition |
Equation | Boundary Conditions |
---|---|
Radiation | Opaque wall |
Energy | Imposed temperature from experimental data |
Momentum | No-slip condition |
Equation | Boundary Conditions |
---|---|
Radiation | Opaque |
Energy | Adiabatic condition |
Momentum | No-slip condition |
Appendix H. List of Symbols
- Latin symbols
: Area of a leaf | |
: Standard) model constants | |
: Specific heat capacity | |
: Drag coefficient | |
: Mass diffusion coefficient for species ‘i’ in the mixture | |
: Thermal diffusion coefficient for species ‘i’ | |
: Total energy | |
: external body forces | |
: Standard gravity | |
: Generation of turbulence kinetic energy due to the mean velocity gradients | |
: Generation of turbulence kinetic energy due to buoyancy | |
: Enthalpy | |
: Unit tensor | |
: Blackbody emissive power | |
: Incident Radiation in band | |
: Incident Radiation in band and direction | |
: Turbulent kinetic energy | |
: Leaf characteristic length | |
: Leaf area surface index | |
: Leaf area density | |
: refractive index | |
: Nusselt number | |
: Static pressure | |
: Operating pressure | |
: Ideal gas constant | |
: Crop aerodynamic resistance | |
: Crop stomatal resistance | |
: leaf reflectivity | |
: Source term for equation ‘i’ | |
: Turbulent Schmidt number | |
: Time | |
: Temperature | |
: Velocity vector | |
: Velocity component along ‘i’ direction | |
: Contribution of the fluctuating dilatation in compressible turbulence to the overall dissipation rate | |
: Mass fraction of the species ‘i’ |
- 2.
- Greek symbols
: Absorption coefficient | |
: Thermal conductivity tensor | |
: Thermal conductivities for directions x, y and z | |
: Leaf emissivity | |
: Effective conductivity of the fluid | |
: A transported quantity | |
: Phase function | |
: Diffusion coefficient for the quantity | |
: Density | |
: Turbulent viscosity | |
: Stefan-Boltzmann constant | |
: Scattering coefficient | |
: Turbulent Prandtl numbers for | |
: Turbulent Prandtl numbers for | |
: Turbulent kinetic energy dissipation rate | |
: Viscous tensor | |
: Solid angle | |
: Specific humidity inside the leaf stomata | |
: Specific humidity of the air |
References
- USDA. Citrus: World Markets and Trade; Foreign Agricultural Service/USDA: Washington, DC, USA, 2021.
- USDA. Citrus Annual; Foreign Agricultural Service/USDA: Washington, DC, USA, 2018.
- Spreen, T.H.; Gao, Z.; Fernandes, W.; Zansler, M.L. Global Economics and Marketing of Citrus Products. In The Genus Citrus; Elsevier: Amsterdam, The Netherlands, 2020; Volume 23, pp. 471–493. ISBN 978-0-12-812163-4. [Google Scholar]
- Boulard, T.; Wang, S. Experimental and Numerical Studies on the Heterogeneity of Crop Transpiration in a Plastic Tunnel. Comput. Electron. Agric. 2002, 34, 173–190. [Google Scholar] [CrossRef]
- Nebbali, R.; Roy, J.C.; Boulard, T.; Makhlouf, S. Comparison of the Accuracy of Different CFD Turbulence Models for the Prediction of the Climatic Parameters in a Tunnel Greenhouse. Acta Hortic. 2006, 287–294. [Google Scholar] [CrossRef]
- Nebbali, R.; Roy, J.C.; Boulard, T. Dynamic Simulation of the Distributed Radiative and Convective Climate within a Cropped Greenhouse. Renew. Energy 2012, 43, 111–129. [Google Scholar] [CrossRef]
- Bartzanas, T.; Boulard, T.; Kittas, C. Numerical Simulation of the Airflow and Temperature Distribution in a Tunnel Greenhouse Equipped with Insect-Proof Screen in the Openings. Comput. Electron. Agric. 2002, 34, 207–221. [Google Scholar] [CrossRef]
- Fidaros, D.K.; Baxevanou, C.A.; Bartzanas, T.; Kittas, C. Numerical Simulation of Thermal Behavior of a Ventilated Arc Greenhouse during a Solar Day. Renew. Energy 2010, 35, 1380–1386. [Google Scholar] [CrossRef]
- Baxevanou, C.; Fidaros, D.; Bartzanas, T.; Kittas, C. Numerical Simulation of Solar Radiation, Air Flow and Temperature Distribution in a Naturally Ventilated Tunnel Greenhouse. Agric. Eng. Int. CIGR E-J. 2010, 12, 48–67. [Google Scholar]
- Consoli, S.; O’Connell, N.; Snyder, R. Estimation of Evapotranspiration of Different-Sized Navel-Orange Tree Orchards Using Energy Balance. J. Irrig. Drain. Eng. 2006, 132, 2–8. [Google Scholar] [CrossRef]
- Er-Raki, S.; Chehbouni, A.; Guemouria, N.; Ezzahar, J.; Khabba, S.; Boulet, G.; Hanich, L. Citrus Orchard Evapotranspiration: Comparison between Eddy Covariance Measurements and the FAO-56 Approach Estimates. Plant Biosyst. Int. J. Deal. All Asp. Plant Biol. 2009, 143, 201–208. [Google Scholar] [CrossRef] [Green Version]
- Villalobos, F.J.; Testi, L.; Orgaz, F.; García-Tejera, O.; Lopez-Bernal, A.; González-Dugo, M.V.; Ballester-Lurbe, C.; Castel, J.R.; Alarcón-Cabañero, J.J.; Nicolás-Nicolás, E.; et al. Modelling Canopy Conductance and Transpiration of Fruit Trees in Mediterranean Areas: A Simplified Approach. Agric. For. Meteorol. 2013, 171–172, 93–103. [Google Scholar] [CrossRef]
- Rana, G.; Katerji, N.; de Lorenzi, F. Measurement and Modelling of Evapotranspiration of Irrigated Citrus Orchard under Mediterranean Conditions. Agric. For. Meteorol. 2005, 128, 199–209. [Google Scholar] [CrossRef]
- Yang, S.; Aydin, M.; Yano, T.; Li, X. Evapotranspiration of Orange Trees in Greenhouse Lysimeters. Irrig. Sci. 2003, 21, 145–149. [Google Scholar] [CrossRef]
- Bekraoui, A.; Fatnassi, H.; Kheir, A.M.S.; Chakir, S.; Senhaji, A.; Mouqallid, M.; Majdoubi, H. Study of Microclimate and Sapling Citrus Plant Transpiration in Tunnel Greenhouse Under Mediterranean Conditions. Acta Technol. Agric. 2022, 25, 61–66. [Google Scholar] [CrossRef]
- Majdoubi, H.; Boulard, T.; Fatnassi, H.; Bouirden, L. Airflow and Microclimate Patterns in a One-Hectare Canary Type Greenhouse: An Experimental and CFD Assisted Study. Agric. For. Meteorol. 2009, 149, 1050–1062. [Google Scholar] [CrossRef]
- Piscia, D.; Montero, J.I.; Baeza, E.; Bailey, B.J. A CFD Greenhouse Night-Time Condensation Model. Biosyst. Eng. 2012, 111, 141–154. [Google Scholar] [CrossRef]
- Liu, R.; Liu, J.; Liu, H.; Yang, X.; Bárcena, J.F.B.; Li, M. A 3-D Simulation of Leaf Condensation on Cucumber Canopy in a Solar Greenhouse. Biosyst. Eng. 2021, 210, 310–329. [Google Scholar] [CrossRef]
- Boulard, T.; Roy, J.-C.; Pouillard, J.-B.; Fatnassi, H.; Grisey, A. Modelling of Micrometeorology, Canopy Transpiration and Photosynthesis in a Closed Greenhouse Using Computational Fluid Dynamics. Biosyst. Eng. 2017, 158, 110–133. [Google Scholar] [CrossRef]
- Mesmoudi, K.; Meguallati, K.; Bournet, P. Effect of the Greenhouse Design on the Thermal Behavior and Microclimate Distribution in Greenhouses Installed under Semi-Arid Climate. Heat Trans. Asian Res. 2017, 46, 1294–1311. [Google Scholar] [CrossRef]
- Choab, N.; Allouhi, A.; El Maakoul, A.; Kousksou, T.; Saadeddine, S.; Jamil, A. Review on Greenhouse Microclimate and Application: Design Parameters, Thermal Modeling and Simulation, Climate Controlling Technologies. Sol. Energy 2019, 191, 109–137. [Google Scholar] [CrossRef]
- Haxaire, R. Caractérisation et Modélisation Des Écoulements d’air Dans Une Serre (Caracterisation and Modeling of Air Flow in a Greenhouse). Ph.D. Thesis, Faculte des Sciences, Universite de Nice Sophie Antipolis, Nice, France, 1999. [Google Scholar]
- Nicolás, E.; Barradas, V.L.; Ortuño, M.F.; Navarro, A.; Torrecillas, A.; Alarcón, J.J. Environmental and Stomatal Control of Transpiration, Canopy Conductance and Decoupling Coefficient in Young Lemon Trees under Shading Net. Environ. Exp. Bot. 2008, 63, 200–206. [Google Scholar] [CrossRef]
- Boulard, T.; Mermier, M.; Fargues, J.; Smits, N.; Rougier, M.; Roy, J.C. Tomato Leaf Boundary Layer Climate: Implications for Microbiological Whitefly Control in Greenhouses. Agric. For. Meteorol. 2002, 110, 159–176. [Google Scholar] [CrossRef]
- Ben Amara, H.; Bouadila, S.; Fatnassi, H.; Arici, M.; Allah Guizani, A. Climate Assessment of Greenhouse Equipped with South-Oriented PV Roofs: An Experimental and Computational Fluid Dynamics Study. Sustain. Energy Technol. Assess. 2021, 45, 101100. [Google Scholar] [CrossRef]
- Wang, X.; Luo, J.; Li, X. CFD Based Study of Heterogeneous Microclimate in a Typical Chinese Greenhouse in Central China. J. Integr. Agric. 2013, 12, 914–923. [Google Scholar] [CrossRef]
- Altes-Buch, Q.; Quoilin, S.; Lemort, V. Greenhouses: A Modelica Library for the Simulation of Greenhouse Climate and Energy Systems. In Proceedings of the 13th International Modelica Conference, Regensburg, Germany, 4–6 March 2019; pp. 533–542. [Google Scholar]
- Jeon, Y.; Cho, L.; Park, S.; Kim, S.; Lee, C.; Kim, D. Canopy Temperature and Heat Flux Prediction by Leaf Area Index of Bell Pepper in a Greenhouse Environment: Experimental Verification and Application. Agronomy 2022, 12, 1807. [Google Scholar] [CrossRef]
- Yu, G.; Zhang, S.; Li, S.; Zhang, M.; Benli, H.; Wang, Y. Numerical Investigation for Effects of Natural Light and Ventilation on 3D Tomato Body Heat Distribution in a Venlo Greenhouse. Inf. Process. Agric. 2022, S221431732200052X. [Google Scholar] [CrossRef]
Classification | Setting | |
---|---|---|
Solver | Pressure based | |
Implicit formulation | ||
Absolute velocity formation | ||
Steady | ||
Discretisation | Time | Implicit second order |
Pressure | Presto | |
Momentum | Second order | |
Second order | ||
Second order | ||
Second order | ||
Energy | Second order | |
Discrete ordinates | Second order | |
Viscous Model | standard () [5] Standard wall functions | |
Radiation Model | DO (discrete ordinates) Theta divisions: 2 Phi divisions: 2 Thêta pixels: 1 Phi pixels: 1 Iteration ratio (flow/radiation): 1 | |
Pressure velocity coupling | Coupled |
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Bekraoui, A.; Chakir, S.; Fatnassi, H.; Mouqallid, M.; Majdoubi, H. Climate Behaviour and Plant Heat Activity of a Citrus Tunnel Greenhouse: A Computational Fluid Dynamic Study. AgriEngineering 2022, 4, 1095-1115. https://doi.org/10.3390/agriengineering4040068
Bekraoui A, Chakir S, Fatnassi H, Mouqallid M, Majdoubi H. Climate Behaviour and Plant Heat Activity of a Citrus Tunnel Greenhouse: A Computational Fluid Dynamic Study. AgriEngineering. 2022; 4(4):1095-1115. https://doi.org/10.3390/agriengineering4040068
Chicago/Turabian StyleBekraoui, Adil, Sanae Chakir, Hicham Fatnassi, Mhamed Mouqallid, and Hassan Majdoubi. 2022. "Climate Behaviour and Plant Heat Activity of a Citrus Tunnel Greenhouse: A Computational Fluid Dynamic Study" AgriEngineering 4, no. 4: 1095-1115. https://doi.org/10.3390/agriengineering4040068