Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field
Abstract This paper aims to study the natural convective magneto-hydrodynamic flow of fluid through vertical concentric annuli with iso-flux heating under the conditions of constant internal heat absorption and an induced magnetic field. By solving the set of dimensionless coupled governing equation...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-07-01
|
| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-024-64779-x |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832585703805943808 |
|---|---|
| author | Muhammad Yusuf Muhammad Muhammad Auwal Lawan Yusuf Y. Gambo |
| author_facet | Muhammad Yusuf Muhammad Muhammad Auwal Lawan Yusuf Y. Gambo |
| author_sort | Muhammad Yusuf Muhammad |
| collection | DOAJ |
| description | Abstract This paper aims to study the natural convective magneto-hydrodynamic flow of fluid through vertical concentric annuli with iso-flux heating under the conditions of constant internal heat absorption and an induced magnetic field. By solving the set of dimensionless coupled governing equations, we were able to obtain exact expressions for the temperature field, velocity field, and induced magnetic field. We also managed to derive the formulas for skin friction, mass flux, and induced current density. We also examined the effects of non-dimensional parameters on skin friction and mass flux. For easy comprehension and interpretation, the results are provided graphically and in tabular form. The heat absorption parameter, the induced current density, the induced magnetic field, and velocity exhibit a negative trend as the Hartmann number (Ha) value increases. The induced magnetic field has the effect of raising both the induced current density and velocity profile. It is found that, when a fluid absorbs heat, the heat absorption parameter experiences reverse flow. For the heat-absorbing fluids, the radii ratio has the effect of increasing velocity, induced magnetic field, and induced current density. The numerical values of skin friction and mass flux at cylindrical walls increase (decrease) with increasing heat absorption parameter and generally it has decreasing tendency with increasing Hartmann number |
| format | Article |
| id | doaj-art-4e523a23e4354b3bb653a6231351671c |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-4e523a23e4354b3bb653a6231351671c2025-01-26T12:34:37ZengNature PortfolioScientific Reports2045-23222024-07-0114111110.1038/s41598-024-64779-xHeat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic fieldMuhammad Yusuf Muhammad0Muhammad Auwal Lawan1Yusuf Y. Gambo2Department of Mathematics, Aliko Dangote University of Science and TechnolgyDepartment of Mathematics, Aliko Dangote University of Science and TechnolgyDepartment of Mathematics, Yusuf Maitama Sule UniversityAbstract This paper aims to study the natural convective magneto-hydrodynamic flow of fluid through vertical concentric annuli with iso-flux heating under the conditions of constant internal heat absorption and an induced magnetic field. By solving the set of dimensionless coupled governing equations, we were able to obtain exact expressions for the temperature field, velocity field, and induced magnetic field. We also managed to derive the formulas for skin friction, mass flux, and induced current density. We also examined the effects of non-dimensional parameters on skin friction and mass flux. For easy comprehension and interpretation, the results are provided graphically and in tabular form. The heat absorption parameter, the induced current density, the induced magnetic field, and velocity exhibit a negative trend as the Hartmann number (Ha) value increases. The induced magnetic field has the effect of raising both the induced current density and velocity profile. It is found that, when a fluid absorbs heat, the heat absorption parameter experiences reverse flow. For the heat-absorbing fluids, the radii ratio has the effect of increasing velocity, induced magnetic field, and induced current density. The numerical values of skin friction and mass flux at cylindrical walls increase (decrease) with increasing heat absorption parameter and generally it has decreasing tendency with increasing Hartmann numberhttps://doi.org/10.1038/s41598-024-64779-xMagneto-natural convectionHeat absorptionRadial and induced magnetic fieldMHD |
| spellingShingle | Muhammad Yusuf Muhammad Muhammad Auwal Lawan Yusuf Y. Gambo Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field Scientific Reports Magneto-natural convection Heat absorption Radial and induced magnetic field MHD |
| title | Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| title_full | Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| title_fullStr | Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| title_full_unstemmed | Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| title_short | Heat absorption effect of magneto-natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| title_sort | heat absorption effect of magneto natural convection flow in vertical concentric annuli with influence of radial and induced magnetic field |
| topic | Magneto-natural convection Heat absorption Radial and induced magnetic field MHD |
| url | https://doi.org/10.1038/s41598-024-64779-x |
| work_keys_str_mv | AT muhammadyusufmuhammad heatabsorptioneffectofmagnetonaturalconvectionflowinverticalconcentricannuliwithinfluenceofradialandinducedmagneticfield AT muhammadauwallawan heatabsorptioneffectofmagnetonaturalconvectionflowinverticalconcentricannuliwithinfluenceofradialandinducedmagneticfield AT yusufygambo heatabsorptioneffectofmagnetonaturalconvectionflowinverticalconcentricannuliwithinfluenceofradialandinducedmagneticfield |