Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability
This paper investigates the nonlinear dispersion of a pollutant in a non-isothermal incompressible flow of a temperature-dependent viscosity fluid in a rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and the fluid is assumed to be variably permeab...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of West Bohemia
2023-06-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://www.kme.zcu.cz/acm/acm/article/view/767/632 |
| _version_ | 1797793681215848448 |
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| author | Nwaigwe C. Oahimire J. I. Weli A. |
| author_facet | Nwaigwe C. Oahimire J. I. Weli A. |
| author_sort | Nwaigwe C. |
| collection | DOAJ |
| description | This paper investigates the nonlinear dispersion of a pollutant in a non-isothermal incompressible flow of a temperature-dependent viscosity fluid in a rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and the fluid is assumed to be variably permeable through the porous channel. External pollutant injection, heat sources and nonlinear radiative heat flux of the Rossland approximation are accounted for. The nonlinear system of partial differential equations governing the velocity, temperature and pollutant concentration is presented in non-dimensional form. A convergent numerical algorithm is formulated using an upwind scheme for the convective part and a conservative-type central scheme for the diffusion parts. The convergence of the scheme is discussed and verified by numerical experiments both in the presence and absence of suction. The scheme is then used to investigate the flow and transport in the channel. The results show that the velocity decreases with increasing suction and Forchheimer parameters, but it increases with increasing porosity. |
| first_indexed | 2024-03-13T02:51:49Z |
| format | Article |
| id | doaj.art-c699fe4e0b804af0acd4906c0567d75d |
| institution | Directory Open Access Journal |
| issn | 1802-680X 2336-1182 |
| language | English |
| last_indexed | 2024-03-13T02:51:49Z |
| publishDate | 2023-06-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-c699fe4e0b804af0acd4906c0567d75d2023-06-28T11:24:14ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822023-06-01171193410.24132/acm.2023.767Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability Nwaigwe C.0Oahimire J. I.1Weli A.2Rivers State University, Department of Mathematics, Port Harcourt, NigeriaMichael Okpara University of Agriculture, Department of Mathematics, Umudike, NigeriaRivers State University, Department of Mathematics, Port Harcourt, NigeriaThis paper investigates the nonlinear dispersion of a pollutant in a non-isothermal incompressible flow of a temperature-dependent viscosity fluid in a rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and the fluid is assumed to be variably permeable through the porous channel. External pollutant injection, heat sources and nonlinear radiative heat flux of the Rossland approximation are accounted for. The nonlinear system of partial differential equations governing the velocity, temperature and pollutant concentration is presented in non-dimensional form. A convergent numerical algorithm is formulated using an upwind scheme for the convective part and a conservative-type central scheme for the diffusion parts. The convergence of the scheme is discussed and verified by numerical experiments both in the presence and absence of suction. The scheme is then used to investigate the flow and transport in the channel. The results show that the velocity decreases with increasing suction and Forchheimer parameters, but it increases with increasing porosity.https://www.kme.zcu.cz/acm/acm/article/view/767/632forchheimer flownonlinear suction velocitynonlinear radiationnonlinear soret-dufour effectsvariable permeabilityvariable soret-dufour effects |
| spellingShingle | Nwaigwe C. Oahimire J. I. Weli A. Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability Applied and Computational Mechanics forchheimer flow nonlinear suction velocity nonlinear radiation nonlinear soret-dufour effects variable permeability variable soret-dufour effects |
| title | Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability |
| title_full | Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability |
| title_fullStr | Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability |
| title_full_unstemmed | Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability |
| title_short | Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability |
| title_sort | numerical approximation of convective brinkman forchheimer flow with variable permeability |
| topic | forchheimer flow nonlinear suction velocity nonlinear radiation nonlinear soret-dufour effects variable permeability variable soret-dufour effects |
| url | https://www.kme.zcu.cz/acm/acm/article/view/767/632 |
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