A Numerical Simulation Approach for Sunspot Area Calculation

S. Saadi, A. Chaker

Abstract


The aim of this paper is the numerical simulation of the sunspot area (SSA) and its location on the walls and on the floor of a room with a single window facing south. The input parameters of the calculation code are the geometry of the cell located in the site of Ksar Challala (35.1 N, 2.19 E, 800 m) in Algeria for the 21st of March, June and December. The SSA is a function of the window’s area, the date and time, the orientation of the room, the altitude and the azimuth of the sun. The obtained results show that the western wall is affected by the sun in the morning, the eastern wall in the afternoon, the floor and the north wall in the middle of the day. By increasing the window area from 1 m2 to 2 m2 we found that the SSA increases considerably.


Keywords


window; sunspot; residence; time-direct gains

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References


C. Tian, T. Chen, H. Yang, T. Chung, “A generalized window energy rating system for typical office buildings”, Solar Energy, Vol. 84, No. 7, pp. 1232–1243, 2010

F. Gloriant, P. Tittelein, A. Joulin, S. Lassue, “Comparaison de deux modèles numériques d’une fenêtre pariéto-dynamique de type PAZIAUD® en vue d’une simulation en thermique du bâtiment”, XXXe Rencontres AUGC-IBPSA Chambéry, Savoie, June 6-8, 2012 (in French)

F. Gloriant, P. Tittelein, A. Joulin, S. Lassue, “Modeling a triple-glazed supply-air window”, Building and Environment, Vol. 84, pp. 1-9, 2015

T. Catalina, J. Virgone, J. Roux, E. Blanco, “Effet de l'inertie thermique, de la surface vitrée et du coefficient de forme sur les besoins en chauffage d'une habitation”, Congrés IBPSA, Lyon, France, November, 2008 (in French)

M. Persson, A. Roos , M. Wall, “Influence of window size on the energy balance of low energy houses”, Energy and Buildings, Vol. 38, No. 3, pp. 181–188, 2006

K. Chatziangelidis, D. Bouris, “Calculation of the distribution of incoming solar radiation in enclosures”, Applied Thermal Engineering, Vol. 29, No. 5-6, pp. 1096–1105, 2009

Y. G. Yohanis, B. Norton, “Useful solar heat gains in multi-zone non-domestic buildings as a function of orientation and thermal time constant”, Renewable Energy, Vol. 27, No. 1, pp. 87–95, 2002

H. Bouia, J. Roux, C. Teodosui, “Modélisation de la tache solaire dans une pièce équipée d’un vitrage utilisant un maillage en surface de Delaunay”, France, November, 2002 (in French)

P. Tittelein, Environnements de simulation adaptés à l'étude du comportement énergétique des bâtiments basse consommation, PhD Thesis, Université de Savoie, 2008

M. Wall, “Distribution of solar radiation in glazed spaces and adjacent buildings. A comparison of simulation programs”, Energy and Buildings, Vol. 26, No. 2, pp. 129-135, 1997

M. H. Benzaama, M. Lachi, C. Maalouf, A. M. Mokhtari, G. Polidori, M. Makhlouf, “Study of the effect of sun patch on the transient thermal behaviour of a heating floor in Algeria”, Energy and Buildings, Vol. 133, pp. 257–270, 2016

H. Bouia, J-J. Roux, “Application de la triangulation de Delaunay au calcul des facteurs de forme entre deux surfaces planes quelconques”, Congrès français de Thermique, SFT2002, Vittel, June 3-6, 2002 (in French)

J. Jan, Rayonnement solaire: aspects géométriques et astronomiques, Collection Cours et Manuels, Ministère des Transports, Direction de la Météorologie, 1983 (in French)

A. Rodler1, J. Virgone, J. J. Roux, “Impact of sun patch and three-dimensional heat transfer descriptions on the accuracy of a building’s thermal behavior prediction”, Building Simulation, Vol. 9, No. 3, pp. 269-279, 2016

A. Rodler, J. J. Roux, J. Virgone, E. J. Kim, J. L. Hubert, “Are 3D heat transfer formulations with short time sted and sun patch evolution nececessary for building simulation?”, Building simulation conférence, Aix-les-Bains, France, pp. 3737-3744, 2013

A. Rodler, J. Virgone, J. J. Roux, J. L. Hubert, “Development and validation of a three dimensional thermal transientnumerical model with sun patch: Application to a low energy cell”, Energy and Buildings, Vol. 87, pp. 425–435, 2014

A. Rodler, J. Virgone, J. J. Roux, E. J. Kim, J. L. Hubert, “Impact de la tache solaire sur un modéle thermique tri-dimensionnel de bâtiment : application à une cellule fortement isolée”, XIème Colloque Interuniversitaire Franco-Québécois sur la Thermique des Systèmes, Reims, France, June 3-5, 2013 (in French)

A. Rodler, J. Virgone1, J. J.Roux1, H. Castet, R. Le Berre, M. Baranzini, J. L. Hubert, “Expérimentation in situ sur la cellule BestLab pour la validation d'un modèle prenant en compte la tache solaire”, Conférence IBPSA France-Arras, 2014 (in French)

A. Rodler, J. Virgone, J. J. Roux, “Impact of the sun patch on heating and cooling power evaluation for a low energy cell”, CISBAT 2013, Lausanne, Switzerland, 2013

A. Rodler, J. Virgone, J. J. Roux, “Sun Patch Impact for the Evaluation of Operative Temperatures Distributions”, Study of Civil Engineering and Architecture, Vol. 3, pp. 130-134, 2014

Y. Boukhris, L. Gharbi, N. Ghrab-Morcos, “Coupling the building simulation tool ZAER with a sunspot model. Case study in Tunis”, Energy and Buildings, Vol. 70, pp. 1–14, 2014




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