Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain
In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtaine...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2021-01-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Reduced-Differential-Transform-Method-for-Thermoelastic-Problem-in-Hyperbolic-Heat,166796,0,2.html |
| _version_ | 1797750522781892608 |
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| author | K.K. Chaudhari C.S. Sutar |
| author_facet | K.K. Chaudhari C.S. Sutar |
| author_sort | K.K. Chaudhari |
| collection | DOAJ |
| description | In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work. |
| first_indexed | 2024-03-12T16:33:59Z |
| format | Article |
| id | doaj.art-edca68cadfce4889ab03d39d6e346fbc |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:33:59Z |
| publishDate | 2021-01-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-edca68cadfce4889ab03d39d6e346fbc2023-08-08T15:03:46ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032021-01-01261768710.2478/ijame-2021-0005166796Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction DomainK.K. Chaudhari0C.S. Sutar1Pillai College of Engineering, New Panvel, Navi Mumbai, Maharashtra, IndiaPSGVPM’s A.S.C.College, Shahada, Maharashtra, IndiaIn the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.https://www.ijame-poland.com/Reduced-Differential-Transform-Method-for-Thermoelastic-Problem-in-Hyperbolic-Heat,166796,0,2.htmlhyperbolic heat conductionthermal stressesthermal displacementrectangular platereduced differential transform |
| spellingShingle | K.K. Chaudhari C.S. Sutar Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain International Journal of Applied Mechanics and Engineering hyperbolic heat conduction thermal stresses thermal displacement rectangular plate reduced differential transform |
| title | Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain |
| title_full | Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain |
| title_fullStr | Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain |
| title_full_unstemmed | Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain |
| title_short | Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain |
| title_sort | reduced differential transform method for thermoelastic problem in hyperbolic heat conduction domain |
| topic | hyperbolic heat conduction thermal stresses thermal displacement rectangular plate reduced differential transform |
| url | https://www.ijame-poland.com/Reduced-Differential-Transform-Method-for-Thermoelastic-Problem-in-Hyperbolic-Heat,166796,0,2.html |
| work_keys_str_mv | AT kkchaudhari reduceddifferentialtransformmethodforthermoelasticprobleminhyperbolicheatconductiondomain AT cssutar reduceddifferentialtransformmethodforthermoelasticprobleminhyperbolicheatconductiondomain |