Modelling of Radiative Heat Transfer in Modelica with a Mobile Solar Radiation Model and a View Factor Model

Arnav Pathak; Victor Norrefeldt; Gunnar Grün

Title:

Author:

Arnav Pathak: Fraunhofer Institute for Building Physics, Dept. Indoor Climate, Germany Victor Norrefeldt: Fraunhofer Institute for Building Physics, Dept. Indoor Climate, Germany Gunnar Grün: Fraunhofer Institute for Building Physics, Dept. Indoor Climate, Germany

DOI:

10.3384/ecp12076271

Download:

Full text (pdf)

Year:

2012

Conference:

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Issue:

076

Article no.:

027

Pages:

271-278

No. of pages:

Publication type:

Abstract and Fulltext

Published:

2012-11-19

ISBN:

978-91-7519-826-2

Series:

Linköping Electronic Conference Proceedings

ISSN (print):

1650-3686

ISSN (online):

1650-3740

Publisher:

Linköping University Electronic Press; Linköpings universitet

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This paper presents a model to estimate the solar radiation under clear sky conditions over stationary; moving as well as flying objects. For the latter it is important to predict the peak solar irradiance under clear sky condition to calculate maximum possible solar thermal loading. In this paper results of irradiation over surface on ground and over aircraft windows and windshields at cruise altitude are presented. Another model implemented here; calculates the view factor between two or more surfaces. Determination of the long-wave radiant heat exchange between two or more surfaces or heat exchange with a surface itself requires a view factor matrix. There are several analytical solutions available to calculate view factor for simple and known configurations. Many building simulation programs estimate the view factors in a simplified way; especially when complex geometries are involved. The simplified approach may result in high errors of surface temperatures; which can further cause error in energy balance and estimation of comfort level. The purpose of creating this model is to calculate the view factor between complex geometries. The view factor matrices of an enclosed space and geometry with openings on its surfaces are presented in this paper. A sensitivity analysis of a view factor matrix is also presented.

Keywords: Solar radiation modeling; View factor calculation; Modelica models; Long-wave radiant heat exchange

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:

Arnav Pathak, Victor Norrefeldt, Gunnar Grün

Title:

Modelling of Radiative Heat Transfer in Modelica with a Mobile Solar Radiation Model and a View Factor Model

DOI:

http://dx.doi.org/10.3384/ecp12076271

References:

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[2] John R. Howell.: A Catalog of Radiation Heat Transfer Configuration Factors; 3rd Edition; Department of Mechanical Engineering; The University of Texas at Austin; Visited on 16.March 2012; http://www.engr.uky.edu/rtl/Catalog/

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[4] A.Q. Malik.: A modified method of estimating Angstrom’s turbidity coefficient for solar radiation models; Renewable Energy 21 (2000) 537-552. doi: 10.1016/S0960-1481(00)00080-X.

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[6] Soteris A. Kalogirou : Slolar Energy Engineering Processes and Systems; Elsevier Inc; 2009.

[7] John A.Duffie; William A.Beckman.: Solar Engineering of Thermal Processes; John Wiley & Sons. Inc. 1980.

[8] Fraunhofer IBP Weather Station Website; consulted on 06.March 2012; http://www.ibp.fraunhofer.de/wetter

[9] Meinrand A. Mächler: Parameterization of solar irradiation under clear skies; Diploma Maschineningenier; Eidg.Techn. Hochschule Zürich; 1977.

[10] Michael F. Modest; Radiative Heat Transfer – Second Edition; Academic Press; Elsevier Science; 2003.

[11] Lilian Dobrowolski de Carvalho Augusto; Bruno Giacomet and Nathan Mendes.: Numerical Method for Calculating View Factor Between Two Surfaces; Proceedings: Building Simulation 2007

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:

Arnav Pathak, Victor Norrefeldt, Gunnar Grün

Title:

Modelling of Radiative Heat Transfer in Modelica with a Mobile Solar Radiation Model and a View Factor Model

DOI:

https://doi.org10.3384/ecp12076271

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