Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field
This paper deals with the theoretical investigation of the effect of a magnetic field, rotation and magnetization on a ferromagnetic fluid under varying gravity field. To find the exact solution for a ferromagnetic fluid layer contained between two free boundaries, we have used a linear stability an...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2021-01-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermosolutal-Instability-of-Rotating-Ferromagnetic-Fluid,166803,0,2.html |
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| author | S. K. Pundir P. K. Nadian R. Pundir |
| author_facet | S. K. Pundir P. K. Nadian R. Pundir |
| author_sort | S. K. Pundir |
| collection | DOAJ |
| description | This paper deals with the theoretical investigation of the effect of a magnetic field, rotation and magnetization on a ferromagnetic fluid under varying gravity field. To find the exact solution for a ferromagnetic fluid layer contained between two free boundaries, we have used a linear stability analysis and normal mode analysis method. For the case of stationary convection, a stable solute gradient has a stabilizing effect, while rotation has a stabilizing effect if λ> 0 and destabilizing effect if λ< 0 . Further, the magnetic field is discovered to have both a stabilizing and destabilizing effect for both λ> 0 and λ< 0 . It is likewise discovered that magnetization has a stabilizing effect for both λ> 0 and λ< 0 in the absence of the stable solute gradient. Graphs have been plotted by giving numerical values of various parameters. In the absence of rotation, magnetic field and stable solute gradient, the principle of exchange of stabilities is found to hold true for certain conditions. |
| first_indexed | 2024-03-12T16:33:55Z |
| format | Article |
| id | doaj.art-e1ea4a39d76643669953682d5fc3fdc4 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:33:55Z |
| publishDate | 2021-01-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-e1ea4a39d76643669953682d5fc3fdc42023-08-08T15:03:46ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032021-01-0126120121410.2478/ijame-2021-0012166803Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity FieldS. K. Pundir0P. K. Nadian1R. Pundir2Department of Mathematics, S.D. (P.G.) College, Muzaffarnagar, Uttar Pradesh-, 251001, IndiaDepartment of Mathematics, S.D. (P.G.) College, Muzaffarnagar, Uttar Pradesh-, 251001, IndiaDepartment of Mathematics, S.D. (P.G.) College, Muzaffarnagar, Uttar Pradesh-, 251001, IndiaThis paper deals with the theoretical investigation of the effect of a magnetic field, rotation and magnetization on a ferromagnetic fluid under varying gravity field. To find the exact solution for a ferromagnetic fluid layer contained between two free boundaries, we have used a linear stability analysis and normal mode analysis method. For the case of stationary convection, a stable solute gradient has a stabilizing effect, while rotation has a stabilizing effect if λ> 0 and destabilizing effect if λ< 0 . Further, the magnetic field is discovered to have both a stabilizing and destabilizing effect for both λ> 0 and λ< 0 . It is likewise discovered that magnetization has a stabilizing effect for both λ> 0 and λ< 0 in the absence of the stable solute gradient. Graphs have been plotted by giving numerical values of various parameters. In the absence of rotation, magnetic field and stable solute gradient, the principle of exchange of stabilities is found to hold true for certain conditions.https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermosolutal-Instability-of-Rotating-Ferromagnetic-Fluid,166803,0,2.htmlthermosolutal instabilityferromagnetic fluidrotationmagnetic fieldmagnetization |
| spellingShingle | S. K. Pundir P. K. Nadian R. Pundir Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field International Journal of Applied Mechanics and Engineering thermosolutal instability ferromagnetic fluid rotation magnetic field magnetization |
| title | Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field |
| title_full | Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field |
| title_fullStr | Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field |
| title_full_unstemmed | Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field |
| title_short | Effect of Magnetic Field on Thermosolutal Instability of Rotating Ferromagnetic Fluid Under Varying Gravity Field |
| title_sort | effect of magnetic field on thermosolutal instability of rotating ferromagnetic fluid under varying gravity field |
| topic | thermosolutal instability ferromagnetic fluid rotation magnetic field magnetization |
| url | https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermosolutal-Instability-of-Rotating-Ferromagnetic-Fluid,166803,0,2.html |
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