Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM)
Block methods in general have proven to be an efficient approach for the numerical approximation of ordinary differential equations as a whole. Therefore, it is important to investigate the suitability of adopting block methods with the presence of higher derivatives in solving heat transfer models....
| Main Authors: | , , , , , , , |
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| Format: | Article |
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Springer Berlin Heidelberg
2020
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| _version_ | 1803629374162862080 |
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| author | Adeyeye, Oluwaseun Aldalbahi, Ali Omar, Zurni Raza, Jawad Rahaman, Mostafizur Issakhov, Alibek Rahimi-Gorji, Mohammad Nadeem, Shahid |
| author_facet | Adeyeye, Oluwaseun Aldalbahi, Ali Omar, Zurni Raza, Jawad Rahaman, Mostafizur Issakhov, Alibek Rahimi-Gorji, Mohammad Nadeem, Shahid |
| author_sort | Adeyeye, Oluwaseun |
| collection | UUM |
| description | Block methods in general have proven to be an efficient approach for the numerical approximation of ordinary differential equations as a whole. Therefore, it is important to investigate the suitability of adopting block methods with the presence of higher derivatives in solving heat transfer models. The presence of the higher derivative in the method gives room for improved accuracy when solving these models. The block method adopted in this article is the two step third derivative block method which is developed using a novel linear block approach. The resultant schemes for the block method were combined as simultaneous integrators for the solution of the differential equation model. The method is seen to adequately provide solutions to the problem of annular fins with hyperbolic profile under the influence of various physical parameters. |
| first_indexed | 2024-07-04T06:36:50Z |
| format | Article |
| id | uum-27934 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:36:50Z |
| publishDate | 2020 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | uum-279342020-11-30T02:10:38Z https://repo.uum.edu.my/id/eprint/27934/ Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) Adeyeye, Oluwaseun Aldalbahi, Ali Omar, Zurni Raza, Jawad Rahaman, Mostafizur Issakhov, Alibek Rahimi-Gorji, Mohammad Nadeem, Shahid QA75 Electronic computers. Computer science Block methods in general have proven to be an efficient approach for the numerical approximation of ordinary differential equations as a whole. Therefore, it is important to investigate the suitability of adopting block methods with the presence of higher derivatives in solving heat transfer models. The presence of the higher derivative in the method gives room for improved accuracy when solving these models. The block method adopted in this article is the two step third derivative block method which is developed using a novel linear block approach. The resultant schemes for the block method were combined as simultaneous integrators for the solution of the differential equation model. The method is seen to adequately provide solutions to the problem of annular fins with hyperbolic profile under the influence of various physical parameters. Springer Berlin Heidelberg 2020 Article PeerReviewed Adeyeye, Oluwaseun and Aldalbahi, Ali and Omar, Zurni and Raza, Jawad and Rahaman, Mostafizur and Issakhov, Alibek and Rahimi-Gorji, Mohammad and Nadeem, Shahid (2020) Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM). Microsystem Technologies. pp. 1-12. ISSN 0946-7076 http://doi.org/10.1007/s00542-020-05015-0 doi:10.1007/s00542-020-05015-0 doi:10.1007/s00542-020-05015-0 |
| spellingShingle | QA75 Electronic computers. Computer science Adeyeye, Oluwaseun Aldalbahi, Ali Omar, Zurni Raza, Jawad Rahaman, Mostafizur Issakhov, Alibek Rahimi-Gorji, Mohammad Nadeem, Shahid Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title | Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title_full | Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title_fullStr | Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title_full_unstemmed | Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title_short | Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM) |
| title_sort | investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method tstdbm |
| topic | QA75 Electronic computers. Computer science |
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