Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method
Fluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/13/6/1363 |
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| author | Valdecir Alves dos Santos Júnior Severino Rodrigues de Farias Neto Antonio Gilson Barbosa de Lima Igor Fernandes Gomes Israel Buriti Galvão Célia Maria Rufino Franco João Evangelista Franco do Carmo |
| author_facet | Valdecir Alves dos Santos Júnior Severino Rodrigues de Farias Neto Antonio Gilson Barbosa de Lima Igor Fernandes Gomes Israel Buriti Galvão Célia Maria Rufino Franco João Evangelista Franco do Carmo |
| author_sort | Valdecir Alves dos Santos Júnior |
| collection | DOAJ |
| description | Fluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using the Galerkin-based integral method. As an application, we present a study using heavy oil with a relative density of 0.9648 (14.6 °API) and temperature-dependent viscosities ranging from 1715 to 13000 cP. Results for different fluid dynamics parameters, such as the Fanning friction factor, Reynolds number, shear stress, and pressure gradient, are presented and analyzed based on the corrugation number established for each section and aspect ratio of the pipe. |
| first_indexed | 2024-04-11T13:22:16Z |
| format | Article |
| id | doaj.art-64e3c438fe3c4e3482ff00028276b0d9 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T13:22:16Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-64e3c438fe3c4e3482ff00028276b0d92022-12-22T04:22:10ZengMDPI AGEnergies1996-10732020-03-01136136310.3390/en13061363en13061363Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral MethodValdecir Alves dos Santos Júnior0Severino Rodrigues de Farias Neto1Antonio Gilson Barbosa de Lima2Igor Fernandes Gomes3Israel Buriti Galvão4Célia Maria Rufino Franco5João Evangelista Franco do Carmo6Department of Physics and Civil Engineering, Center of Science, Technology and Health, State University of Paraíba, Cel. Pedro Targino Ave, 58233-000 Araruna-PB, BrazilDepartment of Chemical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, BrazilDepartment of Mechanical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, BrazilDepartment of Civil Engineering, Technology Center, Federal University of Pernambuco, Acadêmico Hélio Ramos St, 50670-420 Recife-PE, BrazilDepartment of Mathematics, Center of Science and Technology, State University of Paraíba, 351 Baraúnas St, 58429-500 Campina Grande-PB, BrazilDepartment of Physics and Mathematics, Federal University of Campina Grande, 58175-000 Cuité-PB, BrazilDepartment of Mechanical Engineering, Federal University of Campina Grande, 58429-900 Campina Grande-PB, BrazilFluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using the Galerkin-based integral method. As an application, we present a study using heavy oil with a relative density of 0.9648 (14.6 °API) and temperature-dependent viscosities ranging from 1715 to 13000 cP. Results for different fluid dynamics parameters, such as the Fanning friction factor, Reynolds number, shear stress, and pressure gradient, are presented and analyzed based on the corrugation number established for each section and aspect ratio of the pipe.https://www.mdpi.com/1996-1073/13/6/1363fully developed flowgalerkin-based integral (gbi) methodpoiseuille numberpressure gradientpetroleum |
| spellingShingle | Valdecir Alves dos Santos Júnior Severino Rodrigues de Farias Neto Antonio Gilson Barbosa de Lima Igor Fernandes Gomes Israel Buriti Galvão Célia Maria Rufino Franco João Evangelista Franco do Carmo Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method Energies fully developed flow galerkin-based integral (gbi) method poiseuille number pressure gradient petroleum |
| title | Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method |
| title_full | Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method |
| title_fullStr | Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method |
| title_full_unstemmed | Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method |
| title_short | Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method |
| title_sort | heavy oil laminar flow in corrugated ducts a numerical study using the galerkin based integral method |
| topic | fully developed flow galerkin-based integral (gbi) method poiseuille number pressure gradient petroleum |
| url | https://www.mdpi.com/1996-1073/13/6/1363 |
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