Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium
This study investigates the steady, two-dimensional boundary layer flow of a Casson fluid over an inclined nonlinear stretching surface embedded within a Forchheimer porous medium. The governing partial differential equations are transformed into a set of ordinary differential equations through simi...
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MDPI AG
2024-11-01
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| Series: | Modelling |
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| author | José Luis Díaz Palencia |
| author_facet | José Luis Díaz Palencia |
| author_sort | José Luis Díaz Palencia |
| collection | DOAJ |
| description | This study investigates the steady, two-dimensional boundary layer flow of a Casson fluid over an inclined nonlinear stretching surface embedded within a Forchheimer porous medium. The governing partial differential equations are transformed into a set of ordinary differential equations through similarity transformations. The analysis incorporates the effects of an external uniform magnetic field, gravitational forces, thermal radiation modeled by the Rosseland approximation, and first-order homogeneous chemical reactions. We consider several dimensionless parameters, including the Casson fluid parameter, magnetic parameter, Darcy and Forchheimer numbers, Prandtl and Schmidt numbers, and the Eckert number to characterize the flow, heat, and mass transfer phenomena. Analytical solutions for the velocity, temperature, and concentration profiles are derived under simplifying assumptions, and expressions for critical physical quantities such as the skin friction coefficient, Nusselt number, and Sherwood number are obtained. |
| format | Article |
| id | doaj-art-a20a15ca36364e238643e682130cf76b |
| institution | DOAJ |
| issn | 2673-3951 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Modelling |
| spelling | doaj-art-a20a15ca36364e238643e682130cf76b2025-08-20T02:43:39ZengMDPI AGModelling2673-39512024-11-01541789180710.3390/modelling5040093Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous MediumJosé Luis Díaz Palencia0Department of Mathematics and Education, Universidad a Distancia de Madrid, 28400 Madrid, SpainThis study investigates the steady, two-dimensional boundary layer flow of a Casson fluid over an inclined nonlinear stretching surface embedded within a Forchheimer porous medium. The governing partial differential equations are transformed into a set of ordinary differential equations through similarity transformations. The analysis incorporates the effects of an external uniform magnetic field, gravitational forces, thermal radiation modeled by the Rosseland approximation, and first-order homogeneous chemical reactions. We consider several dimensionless parameters, including the Casson fluid parameter, magnetic parameter, Darcy and Forchheimer numbers, Prandtl and Schmidt numbers, and the Eckert number to characterize the flow, heat, and mass transfer phenomena. Analytical solutions for the velocity, temperature, and concentration profiles are derived under simplifying assumptions, and expressions for critical physical quantities such as the skin friction coefficient, Nusselt number, and Sherwood number are obtained.https://www.mdpi.com/2673-3951/5/4/93MHDcasson fluidForchheimer porous mediumnonlinear stretching sheetparametric analysis |
| spellingShingle | José Luis Díaz Palencia Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium Modelling MHD casson fluid Forchheimer porous medium nonlinear stretching sheet parametric analysis |
| title | Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium |
| title_full | Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium |
| title_fullStr | Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium |
| title_full_unstemmed | Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium |
| title_short | Analytical Study of Magnetohydrodynamic Casson Fluid Flow over an Inclined Non-Linear Stretching Surface with Chemical Reaction in a Forchheimer Porous Medium |
| title_sort | analytical study of magnetohydrodynamic casson fluid flow over an inclined non linear stretching surface with chemical reaction in a forchheimer porous medium |
| topic | MHD casson fluid Forchheimer porous medium nonlinear stretching sheet parametric analysis |
| url | https://www.mdpi.com/2673-3951/5/4/93 |
| work_keys_str_mv | AT joseluisdiazpalencia analyticalstudyofmagnetohydrodynamiccassonfluidflowoveraninclinednonlinearstretchingsurfacewithchemicalreactioninaforchheimerporousmedium |