Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow
The current work provides a comparison between two different methodologies for solving convection-diffusion problems: the Generalized Integral Transform Technique (GITT) and the Finite Volumes Method (FVM). The problem of thermally developing laminar flow of non-Newtonian fluids between parallel pla...
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| Format: | Article |
| Language: | English |
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Universidade Federal do Rio Grande
2010-12-01
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| Series: | Vetor |
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| Online Access: | https://seer.furg.br/vetor/article/view/1740 |
| _version_ | 1798032153195315200 |
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| author | Daniel J. N. Mansur Chalhub Leandro Alcofarado Sphaier |
| author_facet | Daniel J. N. Mansur Chalhub Leandro Alcofarado Sphaier |
| author_sort | Daniel J. N. Mansur Chalhub |
| collection | DOAJ |
| description | The current work provides a comparison between two different methodologies for solving convection-diffusion problems: the Generalized Integral Transform Technique (GITT) and the Finite Volumes Method (FVM). The problem of thermally developing laminar flow of non-Newtonian fluids between parallel plates is selected for illustrating purposes. Both solutions focus on the transformation of a partial-differential formulation into an ordinary-differential form, either through integral transformation or discretization of the directional variable transversal to the flow. The resulting ODE systems are solved analytically and comparison results are presented, indicating advantages and disadvantages of each methodology. Once comparisons are performed advantages and disadvantages of each methodology are discussed. The results indicate that, in general, the integral transform technique presents a better convergence rate. |
| first_indexed | 2024-04-11T20:08:07Z |
| format | Article |
| id | doaj.art-72ba14cc25a64658a77fd8931c9c7ce1 |
| institution | Directory Open Access Journal |
| issn | 0102-7352 2358-3452 |
| language | English |
| last_indexed | 2024-04-11T20:08:07Z |
| publishDate | 2010-12-01 |
| publisher | Universidade Federal do Rio Grande |
| record_format | Article |
| series | Vetor |
| spelling | doaj.art-72ba14cc25a64658a77fd8931c9c7ce12022-12-22T04:05:15ZengUniversidade Federal do Rio GrandeVetor0102-73522358-34522010-12-01201Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flowDaniel J. N. Mansur ChalhubLeandro Alcofarado SphaierThe current work provides a comparison between two different methodologies for solving convection-diffusion problems: the Generalized Integral Transform Technique (GITT) and the Finite Volumes Method (FVM). The problem of thermally developing laminar flow of non-Newtonian fluids between parallel plates is selected for illustrating purposes. Both solutions focus on the transformation of a partial-differential formulation into an ordinary-differential form, either through integral transformation or discretization of the directional variable transversal to the flow. The resulting ODE systems are solved analytically and comparison results are presented, indicating advantages and disadvantages of each methodology. Once comparisons are performed advantages and disadvantages of each methodology are discussed. The results indicate that, in general, the integral transform technique presents a better convergence rate.https://seer.furg.br/vetor/article/view/1740Integral transformFinite volumesNon-Newtonian fluidParallel plates |
| spellingShingle | Daniel J. N. Mansur Chalhub Leandro Alcofarado Sphaier Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow Vetor Integral transform Finite volumes Non-Newtonian fluid Parallel plates |
| title | Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow |
| title_full | Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow |
| title_fullStr | Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow |
| title_full_unstemmed | Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow |
| title_short | Analysis of finite volumes and integral transform solutions for thermally developing non-Newtonian fluid flow |
| title_sort | analysis of finite volumes and integral transform solutions for thermally developing non newtonian fluid flow |
| topic | Integral transform Finite volumes Non-Newtonian fluid Parallel plates |
| url | https://seer.furg.br/vetor/article/view/1740 |
| work_keys_str_mv | AT danieljnmansurchalhub analysisoffinitevolumesandintegraltransformsolutionsforthermallydevelopingnonnewtonianfluidflow AT leandroalcofaradosphaier analysisoffinitevolumesandintegraltransformsolutionsforthermallydevelopingnonnewtonianfluidflow |