METHOD FOR DETERMINING AVERAGE VOLUME PARAMETERS OF THE DYNAMICS OF THE ELECTROTHERMAL STATE OF MEDIA USING THE GAUSS – OSTROGRADSKY THEOREM

In this paper, using the methodology of spatial averaging of partial differential equations, based on the application of the divergence theorem, the average volume parameters of the dynamics of the electrothermal state of media associated with the geometric shape of the medium limited in space are d...

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Bibliographic Details
Date:2024
Main Authors: Matiakh, S., Surzhyk Т., Т., Sheiko , I.
Format: Article
Language:English
Published: Institute of Renewable Energy National Academy of Sciences of Ukraine 2024
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Online Access:https://ve.org.ua/index.php/journal/article/view/488
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Journal Title:Vidnovluvana energetika

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Vidnovluvana energetika
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Summary:In this paper, using the methodology of spatial averaging of partial differential equations, based on the application of the divergence theorem, the average volume parameters of the dynamics of the electrothermal state of media associated with the geometric shape of the medium limited in space are determined. It is shown that the volume-averaged parameters of the dynamics of the electrothermal state of media can be represented by the parameters averaged over the surface surrounding the volume. This allows us to significantly simplify the analysis of the final results of research into the processes of interaction of solar radiation with the active surfaces of elements of solar energy systems, in particular, the influence of the surrounding medium.