Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid
The flow under an Eyring-Powell description has attracted interest to model different scenarios related with non-Newtonian fluids. The goal of the present study is to provide analysis of solutions to a one-dimensional Eyring-Powell fluid in Magnetohydrodynamics (MHD) with general initial conditions....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822003763 |
| _version_ | 1797978755021406208 |
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| author | José Luis Díaz Palencia Saeed ur Rahman Antonio Naranjo Redondo |
| author_facet | José Luis Díaz Palencia Saeed ur Rahman Antonio Naranjo Redondo |
| author_sort | José Luis Díaz Palencia |
| collection | DOAJ |
| description | The flow under an Eyring-Powell description has attracted interest to model different scenarios related with non-Newtonian fluids. The goal of the present study is to provide analysis of solutions to a one-dimensional Eyring-Powell fluid in Magnetohydrodynamics (MHD) with general initial conditions. Firstly, regularity and bounds of solutions are shown as a baseline to support the construction of existence and uniqueness results. The existence analysis is based on the definition of a Hamiltonian that constitutes the underlying theory to obtain stationary profiles of solutions that are validated with a numerical approach. Afterwards, non-stationary profiles of solutions are explored based on an asymptotic approximation to a Hamilton-Jacobi type of equation. To this end, an exponential scaling is considered together with perturbation methods. Finally, a region of validity for such exponential scaling is provided. |
| first_indexed | 2024-04-11T05:28:03Z |
| format | Article |
| id | doaj.art-41da59c6a30347c3911b04e7f5740c46 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T05:28:03Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-41da59c6a30347c3911b04e7f5740c462022-12-23T04:39:25ZengElsevierAlexandria Engineering Journal1110-01682022-12-0161121228312291Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluidJosé Luis Díaz Palencia0Saeed ur Rahman1Antonio Naranjo Redondo2Department of Mathematics and Education, Universidad a Distancia de Madrid, 28400 Madrid, Spain; Technology Programs, Schiller International University, Calle Serrano 156, 28002 Madrid, Spain; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, PakistanTechnology Programs, Schiller International University, Calle Serrano 156, 28002 Madrid, SpainThe flow under an Eyring-Powell description has attracted interest to model different scenarios related with non-Newtonian fluids. The goal of the present study is to provide analysis of solutions to a one-dimensional Eyring-Powell fluid in Magnetohydrodynamics (MHD) with general initial conditions. Firstly, regularity and bounds of solutions are shown as a baseline to support the construction of existence and uniqueness results. The existence analysis is based on the definition of a Hamiltonian that constitutes the underlying theory to obtain stationary profiles of solutions that are validated with a numerical approach. Afterwards, non-stationary profiles of solutions are explored based on an asymptotic approximation to a Hamilton-Jacobi type of equation. To this end, an exponential scaling is considered together with perturbation methods. Finally, a region of validity for such exponential scaling is provided.http://www.sciencedirect.com/science/article/pii/S111001682200376335Q3535B6576D05 |
| spellingShingle | José Luis Díaz Palencia Saeed ur Rahman Antonio Naranjo Redondo Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid Alexandria Engineering Journal 35Q35 35B65 76D05 |
| title | Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid |
| title_full | Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid |
| title_fullStr | Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid |
| title_full_unstemmed | Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid |
| title_short | Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid |
| title_sort | regularity and reduction to a hamilton jacobi equation for a mhd eyring powell fluid |
| topic | 35Q35 35B65 76D05 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822003763 |
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