Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions
The main goal of the present work is to show the procedure, application and main features of the hybrid numerical-analytical approach known as GITT (Generalized Integral Transform Technique) by solving an unsteady, one-dimensional magnetohydrodynamic (MHD) oscillatory flow of a micropolar and incomp...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-01-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S101836471730513X |
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| author | Fabio A. Pontes Helder K. Miyagawa Péricles C. Pontes Emanuel N. Macêdo João N.N. Quaresma |
| author_facet | Fabio A. Pontes Helder K. Miyagawa Péricles C. Pontes Emanuel N. Macêdo João N.N. Quaresma |
| author_sort | Fabio A. Pontes |
| collection | DOAJ |
| description | The main goal of the present work is to show the procedure, application and main features of the hybrid numerical-analytical approach known as GITT (Generalized Integral Transform Technique) by solving an unsteady, one-dimensional magnetohydrodynamic (MHD) oscillatory flow of a micropolar and incompressible fluid with heat and mass transfer through a permeable vertical plate embedded in a porous medium in the presence of chemical reaction. The mathematical formulation of the studied model was obtained from the equation of motion and the mass and energy balances by considering laminar and incompressible flow subjected to a constant transverse magnetic field with constant physical properties. Convergence analysis was performed and presented to illustrate the consistency of the integral transform technique. Linear and angular velocities distribution, temperature and concentration profiles were generated and numerically verified with an approximate solution found in the literature and with the results of the method of lines (MOL) with good agreement. The effects of some governing parameters, namely, dimensionless time, magnetic field parameter, Schmidt and Prandtl numbers, permeability and chemical reaction parameters, on these fields were presented. The effects of these parameters on the local skin friction coefficient, the couple stress coefficient, the local Nusselt number and the local Sherwood number were also critically evaluated. Therefore, results show that the linear velocity decreases with increasing magnetic field parameter, while the angular velocity increases with increasing the same and the linear and angular velocities and the concentration field decrease as the Schmidt number increases while the temperature field decreases with increasing Prandtl number. Keywords: Generalized Integral Transform Technique (GITT), Equations of Motion, Magnetohydrodynamic (MHD), Heat and mass transfer, Porous Medium, Chemical reaction |
| first_indexed | 2024-12-23T19:00:31Z |
| format | Article |
| id | doaj.art-6292253dde444ed7b286660b9ac1ef5e |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-23T19:00:31Z |
| publishDate | 2019-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-6292253dde444ed7b286660b9ac1ef5e2022-12-21T17:34:44ZengElsevierJournal of King Saud University: Science1018-36472019-01-01311114126Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactionsFabio A. Pontes0Helder K. Miyagawa1Péricles C. Pontes2Emanuel N. Macêdo3João N.N. Quaresma4Graduate Program in Natural Resource Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110 Belém, PA, BrazilGraduate Program in Natural Resource Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110 Belém, PA, BrazilDept. of Mechanical Engineering, COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Cx. Postal 68503, Cidade Universitária, Rio de Janeiro, RJ 21945-970, Brazil; Araguaia Institute of Engineering, IEA/UNIFESSPA, Universidade do Sul e Sudeste do Pará, Campus Santana do Araguaia, Bel Recanto, Rua Albino Malzoni, 68560-000 Santana do Araguaia, PA, BrazilGraduate Program in Natural Resource Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110 Belém, PA, Brazil; School of Chemical Engineering, FEQ/ITEC/UFPA, Universidade Federal do Pará, Campus Universitário do Guamá, 66075-110 Belém, PA, BrazilGraduate Program in Natural Resource Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110 Belém, PA, Brazil; School of Chemical Engineering, FEQ/ITEC/UFPA, Universidade Federal do Pará, Campus Universitário do Guamá, 66075-110 Belém, PA, Brazil; Corresponding author Graduate Program in Natural Resource Engineering in the Amazon, PRODERNA/ITEC/UFPA, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil.The main goal of the present work is to show the procedure, application and main features of the hybrid numerical-analytical approach known as GITT (Generalized Integral Transform Technique) by solving an unsteady, one-dimensional magnetohydrodynamic (MHD) oscillatory flow of a micropolar and incompressible fluid with heat and mass transfer through a permeable vertical plate embedded in a porous medium in the presence of chemical reaction. The mathematical formulation of the studied model was obtained from the equation of motion and the mass and energy balances by considering laminar and incompressible flow subjected to a constant transverse magnetic field with constant physical properties. Convergence analysis was performed and presented to illustrate the consistency of the integral transform technique. Linear and angular velocities distribution, temperature and concentration profiles were generated and numerically verified with an approximate solution found in the literature and with the results of the method of lines (MOL) with good agreement. The effects of some governing parameters, namely, dimensionless time, magnetic field parameter, Schmidt and Prandtl numbers, permeability and chemical reaction parameters, on these fields were presented. The effects of these parameters on the local skin friction coefficient, the couple stress coefficient, the local Nusselt number and the local Sherwood number were also critically evaluated. Therefore, results show that the linear velocity decreases with increasing magnetic field parameter, while the angular velocity increases with increasing the same and the linear and angular velocities and the concentration field decrease as the Schmidt number increases while the temperature field decreases with increasing Prandtl number. Keywords: Generalized Integral Transform Technique (GITT), Equations of Motion, Magnetohydrodynamic (MHD), Heat and mass transfer, Porous Medium, Chemical reactionhttp://www.sciencedirect.com/science/article/pii/S101836471730513X |
| spellingShingle | Fabio A. Pontes Helder K. Miyagawa Péricles C. Pontes Emanuel N. Macêdo João N.N. Quaresma Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions Journal of King Saud University: Science |
| title | Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| title_full | Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| title_fullStr | Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| title_full_unstemmed | Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| title_short | Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| title_sort | integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions |
| url | http://www.sciencedirect.com/science/article/pii/S101836471730513X |
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