Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus
In this article, the study of the non-Fourier heat conduction in casting sand that is located inside a container under an instantaneous heat flux. According to inefficiencies of Fourier model to model the behavior of this problem due to differences in heat transfer between the phases and the ability...
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| Format: | Article |
| Language: | fas |
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Semnan University
2017-05-01
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| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_2431_3617f7233e8660a9c0a011f115ec6009.pdf |
| _version_ | 1797296612413800448 |
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| author | Aziz Azimi Shahab Gholami Hassan Bayati |
| author_facet | Aziz Azimi Shahab Gholami Hassan Bayati |
| author_sort | Aziz Azimi |
| collection | DOAJ |
| description | In this article, the study of the non-Fourier heat conduction in casting sand that is located inside a container under an instantaneous heat flux. According to inefficiencies of Fourier model to model the behavior of this problem due to differences in heat transfer between the phases and the ability of the models based on fractional calculus to model the anomalous behavior in different materials, in this paper, a model based on fractional calculus have been used. This model has recently entered the field of physics. Thermal properties, initial and boundary conditions of the problem is assumed to be known. The governing equations have been solved in a try and error algorithm to find the phase lag and fractional order using an implicit discretization method. The results show that neither the super-diffusion fractional model nor sub-diffusion fractional model can model the heat transfer in the sand. Based on the present results, it can observe also that in the initial moment, sub-diffusion conditions and after that super-diffusion conditions govern on the problem. Using simultaneously sub-diffusion and super-diffusion models, the numerical results are able to cover the experimental data for the temperature distribution within the container. |
| first_indexed | 2024-03-07T22:07:17Z |
| format | Article |
| id | doaj.art-80d26735369449dc80d1cd08b07d059a |
| institution | Directory Open Access Journal |
| issn | 2008-4854 2783-2538 |
| language | fas |
| last_indexed | 2024-03-07T22:07:17Z |
| publishDate | 2017-05-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj.art-80d26735369449dc80d1cd08b07d059a2024-02-23T19:03:06ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382017-05-011548152210.22075/jme.2017.24312431Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional CalculusAziz Azimi0Shahab Gholami1Hassan Bayati2دانشگاه شهید چمران اهوازدانشگاه شهید چمران اهوازدانشگاه شهید چمران اهوازIn this article, the study of the non-Fourier heat conduction in casting sand that is located inside a container under an instantaneous heat flux. According to inefficiencies of Fourier model to model the behavior of this problem due to differences in heat transfer between the phases and the ability of the models based on fractional calculus to model the anomalous behavior in different materials, in this paper, a model based on fractional calculus have been used. This model has recently entered the field of physics. Thermal properties, initial and boundary conditions of the problem is assumed to be known. The governing equations have been solved in a try and error algorithm to find the phase lag and fractional order using an implicit discretization method. The results show that neither the super-diffusion fractional model nor sub-diffusion fractional model can model the heat transfer in the sand. Based on the present results, it can observe also that in the initial moment, sub-diffusion conditions and after that super-diffusion conditions govern on the problem. Using simultaneously sub-diffusion and super-diffusion models, the numerical results are able to cover the experimental data for the temperature distribution within the container.https://modelling.semnan.ac.ir/article_2431_3617f7233e8660a9c0a011f115ec6009.pdfnon-fourier heat transferfractional calculusfractional modelssuper diffusion-sub diffusion model |
| spellingShingle | Aziz Azimi Shahab Gholami Hassan Bayati Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus مجله مدل سازی در مهندسی non-fourier heat transfer fractional calculus fractional models super diffusion-sub diffusion model |
| title | Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus |
| title_full | Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus |
| title_fullStr | Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus |
| title_full_unstemmed | Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus |
| title_short | Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus |
| title_sort | investigate on non fourier heat conduction in sand using models based on fractional calculus |
| topic | non-fourier heat transfer fractional calculus fractional models super diffusion-sub diffusion model |
| url | https://modelling.semnan.ac.ir/article_2431_3617f7233e8660a9c0a011f115ec6009.pdf |
| work_keys_str_mv | AT azizazimi investigateonnonfourierheatconductioninsandusingmodelsbasedonfractionalcalculus AT shahabgholami investigateonnonfourierheatconductioninsandusingmodelsbasedonfractionalcalculus AT hassanbayati investigateonnonfourierheatconductioninsandusingmodelsbasedonfractionalcalculus |