Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate
In the recent development of fluid flow and industrial problems, convection-diffusion of heat transfer plays an important role. One can see the same is greatly affected by epistemic types of uncertainties due to involved parameters, boundary conditions, and material properties. Therefore, we focus o...
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| Format: | Article |
| Language: | English |
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REA Press
2024-12-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_203885_972a4c0cdca0f32c3c71bb41dc9a7d35.pdf |
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| author | Sudipta Priyadarshini Sukanta Nayak |
| author_facet | Sudipta Priyadarshini Sukanta Nayak |
| author_sort | Sudipta Priyadarshini |
| collection | DOAJ |
| description | In the recent development of fluid flow and industrial problems, convection-diffusion of heat transfer plays an important role. One can see the same is greatly affected by epistemic types of uncertainties due to involved parameters, boundary conditions, and material properties. Therefore, we focus on numerical approaches to handling uncertainties. In addition, the Finite Element Method (FEM) is adopted with the fuzzy environment to investigate the uncertain temperature of the defined plate problem. By taking a 5% uncertain error, the corresponding Triangular Fuzzy Number (TFN) is generated. Then, by using the same, the involved governing equations are solved. The results are displayed by taking different combinations of involved fuzzy parameters , and the sensitivity of the same has been discussed in the case study. Finally, it is observed that the width of is more the mean, and the heat input rate is more sensitive than convection heat transfer. |
| format | Article |
| id | doaj-art-bab54e12980b4d4a9cbb89a32aba9ed3 |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-bab54e12980b4d4a9cbb89a32aba9ed32025-01-30T11:23:34ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202024-12-013429830710.22105/cand.2024.475868.1110203885Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plateSudipta Priyadarshini0Sukanta Nayak1Department of Mathematics, School of Advanced Sciences, VIT-AP University, India.Department of Mathematics, School of Advanced Sciences, VIT-AP University, India.In the recent development of fluid flow and industrial problems, convection-diffusion of heat transfer plays an important role. One can see the same is greatly affected by epistemic types of uncertainties due to involved parameters, boundary conditions, and material properties. Therefore, we focus on numerical approaches to handling uncertainties. In addition, the Finite Element Method (FEM) is adopted with the fuzzy environment to investigate the uncertain temperature of the defined plate problem. By taking a 5% uncertain error, the corresponding Triangular Fuzzy Number (TFN) is generated. Then, by using the same, the involved governing equations are solved. The results are displayed by taking different combinations of involved fuzzy parameters , and the sensitivity of the same has been discussed in the case study. Finally, it is observed that the width of is more the mean, and the heat input rate is more sensitive than convection heat transfer.https://www.journal-cand.com/article_203885_972a4c0cdca0f32c3c71bb41dc9a7d35.pdftriangular fuzzy numberconvection-diffusion heat transferfuzzy finite element method |
| spellingShingle | Sudipta Priyadarshini Sukanta Nayak Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate Computational Algorithms and Numerical Dimensions triangular fuzzy number convection-diffusion heat transfer fuzzy finite element method |
| title | Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate |
| title_full | Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate |
| title_fullStr | Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate |
| title_full_unstemmed | Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate |
| title_short | Fuzzy finite element solution of uncertain convection-diffusion heat transfer for a rectangular plate |
| title_sort | fuzzy finite element solution of uncertain convection diffusion heat transfer for a rectangular plate |
| topic | triangular fuzzy number convection-diffusion heat transfer fuzzy finite element method |
| url | https://www.journal-cand.com/article_203885_972a4c0cdca0f32c3c71bb41dc9a7d35.pdf |
| work_keys_str_mv | AT sudiptapriyadarshini fuzzyfiniteelementsolutionofuncertainconvectiondiffusionheattransferforarectangularplate AT sukantanayak fuzzyfiniteelementsolutionofuncertainconvectiondiffusionheattransferforarectangularplate |