Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation
In this study, a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM) is used for solving the nonlinear temperature distribution equation in a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. The problem i...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-11-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X1400015X |
| _version_ | 1828434901792194560 |
|---|---|
| author | Seiyed E. Ghasemi M. Hatami D.D. Ganji |
| author_facet | Seiyed E. Ghasemi M. Hatami D.D. Ganji |
| author_sort | Seiyed E. Ghasemi |
| collection | DOAJ |
| description | In this study, a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM) is used for solving the nonlinear temperature distribution equation in a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. The problem is solved for two main cases. In the first case, heat generation is assumed variable by fin temperature and in the second case, both thermal conductivity and heat generation vary with temperature. Results are presented for the temperature distribution for a range of values of parameters appeared in the mathematical formulation (e.g. N, εG, and G). Results reveal that DTM is very effective and convenient. Also, it is found that this method can achieve more suitable results compared to numerical methods. |
| first_indexed | 2024-12-10T18:57:30Z |
| format | Article |
| id | doaj.art-70f61f6431c946cfb302c2cd583a847c |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-10T18:57:30Z |
| publishDate | 2014-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-70f61f6431c946cfb302c2cd583a847c2022-12-22T01:37:07ZengElsevierCase Studies in Thermal Engineering2214-157X2014-11-014C1810.1016/j.csite.2014.05.002Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generationSeiyed E. Ghasemi0M. Hatami1D.D. Ganji2Department of Mechanical Engineering, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranEsfarayen University, Department of Mechanical Engineering, Esfarayen, North Khorasan, IranDepartment of Mechanical Engineering, Babol University of Technology, Babol, IranIn this study, a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM) is used for solving the nonlinear temperature distribution equation in a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. The problem is solved for two main cases. In the first case, heat generation is assumed variable by fin temperature and in the second case, both thermal conductivity and heat generation vary with temperature. Results are presented for the temperature distribution for a range of values of parameters appeared in the mathematical formulation (e.g. N, εG, and G). Results reveal that DTM is very effective and convenient. Also, it is found that this method can achieve more suitable results compared to numerical methods.http://www.sciencedirect.com/science/article/pii/S2214157X1400015XConvective finTemperature-dependent thermal conductivityHeat generationDifferential Transformation Method (DTM)Thermal Analysis |
| spellingShingle | Seiyed E. Ghasemi M. Hatami D.D. Ganji Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation Case Studies in Thermal Engineering Convective fin Temperature-dependent thermal conductivity Heat generation Differential Transformation Method (DTM) Thermal Analysis |
| title | Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation |
| title_full | Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation |
| title_fullStr | Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation |
| title_full_unstemmed | Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation |
| title_short | Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation |
| title_sort | thermal analysis of convective fin with temperature dependent thermal conductivity and heat generation |
| topic | Convective fin Temperature-dependent thermal conductivity Heat generation Differential Transformation Method (DTM) Thermal Analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X1400015X |
| work_keys_str_mv | AT seiyedeghasemi thermalanalysisofconvectivefinwithtemperaturedependentthermalconductivityandheatgeneration AT mhatami thermalanalysisofconvectivefinwithtemperaturedependentthermalconductivityandheatgeneration AT ddganji thermalanalysisofconvectivefinwithtemperaturedependentthermalconductivityandheatgeneration |