Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source
Mathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < α ≤ 2 , by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer...
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| Format: | Article |
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University of Zielona Góra
2020-08-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Analysis-of-Time-Fractional-Heat-Transfer-and-its-Thermal-Deflection-in-a-Circular,166844,0,2.html |
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| author | S. Thakare M. Warbhe |
| author_facet | S. Thakare M. Warbhe |
| author_sort | S. Thakare |
| collection | DOAJ |
| description | Mathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < α ≤ 2 , by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer curved surface of the plate. Temperature distribution and thermal deflection has been investigated by a quasi-static approach in the context of fractional order heat conduction. The integral transformation technique is used to analyze the analytical solution to the problem. Numerical computation including the effect of the fractional order parameter has been done for temperature and deflection and illustrated graphically for an aluminum material. |
| first_indexed | 2024-03-12T16:33:06Z |
| format | Article |
| id | doaj.art-114e0d7e130d492f9449fdf1f6ae7620 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:33:06Z |
| publishDate | 2020-08-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-114e0d7e130d492f9449fdf1f6ae76202023-08-08T15:02:58ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032020-08-0125315816810.2478/ijame-2020-0040166844Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat SourceS. Thakare0M. Warbhe1Department of Mathematics, Sarvodaya Mahavidyalaya, Sindewahi, Chandrapur, IndiaDepartment of Mathematics, Sarvodaya Mahavidyalaya, Sindewahi, Chandrapur, IndiaMathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < α ≤ 2 , by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer curved surface of the plate. Temperature distribution and thermal deflection has been investigated by a quasi-static approach in the context of fractional order heat conduction. The integral transformation technique is used to analyze the analytical solution to the problem. Numerical computation including the effect of the fractional order parameter has been done for temperature and deflection and illustrated graphically for an aluminum material.https://www.ijame-poland.com/Analysis-of-Time-Fractional-Heat-Transfer-and-its-Thermal-Deflection-in-a-Circular,166844,0,2.htmlfractional ordercircular plateintegral transformmittag-leffler functionthermal stresses |
| spellingShingle | S. Thakare M. Warbhe Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source International Journal of Applied Mechanics and Engineering fractional order circular plate integral transform mittag-leffler function thermal stresses |
| title | Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source |
| title_full | Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source |
| title_fullStr | Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source |
| title_full_unstemmed | Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source |
| title_short | Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source |
| title_sort | analysis of time fractional heat transfer and its thermal deflection in a circular plate by a moving heat source |
| topic | fractional order circular plate integral transform mittag-leffler function thermal stresses |
| url | https://www.ijame-poland.com/Analysis-of-Time-Fractional-Heat-Transfer-and-its-Thermal-Deflection-in-a-Circular,166844,0,2.html |
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