Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound
The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by the method of small perturbation. The fluid motion is described using the Brinkman model. It is assumed that the fluid and solid matrices are...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
V.N. Karazin Kharkiv National University Publishing
2022-12-01
|
| Series: | East European Journal of Physics |
| Subjects: | |
| Online Access: | https://periodicals.karazin.ua/eejp/article/view/20357 |
| _version_ | 1797838915529342976 |
|---|---|
| author | Venkatesh Vidya Shree Chandrappa Rudresha Chandrashekar Balaji Sokalingam Maruthamanikandan |
| author_facet | Venkatesh Vidya Shree Chandrappa Rudresha Chandrashekar Balaji Sokalingam Maruthamanikandan |
| author_sort | Venkatesh Vidya Shree |
| collection | DOAJ |
| description | The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by the method of small perturbation. The fluid motion is described using the Brinkman model. It is assumed that the fluid and solid matrices are in local thermal equilibrium. For simplified boundary conditions, the eigenvalue problem is solved exactly, and closed form solutions for stationary instability are obtained. Magnetic forces and second sound were found to enhance the beginning of Brinkman ferroconvection. However, ferroconvection is hampered when the porous parameters are increased. The results show that MFD viscosity inhibits the beginning of Darcy-Brinkman ferroconvection and that MFD viscosity stabilizing effect is decreased when the magnetic Rayleigh number is significant. Furthermore, it is demonstrated that oscillatory instability arises before stationary instability, assuming that the Prandtl and Cattaneo numbers are sufficiently large. |
| first_indexed | 2024-04-09T15:49:45Z |
| format | Article |
| id | doaj.art-813500a4c0bf4f77aba580f556519bae |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-04-09T15:49:45Z |
| publishDate | 2022-12-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-813500a4c0bf4f77aba580f556519bae2023-04-26T11:52:06ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392022-12-01411211710.26565/2312-4334-2022-4-1020357Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second SoundVenkatesh Vidya Shree0Chandrappa Rudresha1Chandrashekar Balaji2Sokalingam Maruthamanikandan3Department of Mathematics, School of Engineering, Presidency University, Bangalore, IndiaDepartment of Mathematics, School of Engineering, Presidency University, Bangalore, IndiaDepartment of Mathematics, School of Engineering, Presidency University, Bangalore, IndiaDepartment of Mathematics, School of Engineering, Presidency University, Bangalore, IndiaThe problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by the method of small perturbation. The fluid motion is described using the Brinkman model. It is assumed that the fluid and solid matrices are in local thermal equilibrium. For simplified boundary conditions, the eigenvalue problem is solved exactly, and closed form solutions for stationary instability are obtained. Magnetic forces and second sound were found to enhance the beginning of Brinkman ferroconvection. However, ferroconvection is hampered when the porous parameters are increased. The results show that MFD viscosity inhibits the beginning of Darcy-Brinkman ferroconvection and that MFD viscosity stabilizing effect is decreased when the magnetic Rayleigh number is significant. Furthermore, it is demonstrated that oscillatory instability arises before stationary instability, assuming that the Prandtl and Cattaneo numbers are sufficiently large.https://periodicals.karazin.ua/eejp/article/view/20357ferrofluidmfd viscosityporous mediamagnetic fieldsecond sound |
| spellingShingle | Venkatesh Vidya Shree Chandrappa Rudresha Chandrashekar Balaji Sokalingam Maruthamanikandan Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound East European Journal of Physics ferrofluid mfd viscosity porous media magnetic field second sound |
| title | Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound |
| title_full | Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound |
| title_fullStr | Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound |
| title_full_unstemmed | Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound |
| title_short | Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound |
| title_sort | effect of magnetic field dependent viscosity on darcy brinkman ferroconvection with second sound |
| topic | ferrofluid mfd viscosity porous media magnetic field second sound |
| url | https://periodicals.karazin.ua/eejp/article/view/20357 |
| work_keys_str_mv | AT venkateshvidyashree effectofmagneticfielddependentviscosityondarcybrinkmanferroconvectionwithsecondsound AT chandrapparudresha effectofmagneticfielddependentviscosityondarcybrinkmanferroconvectionwithsecondsound AT chandrashekarbalaji effectofmagneticfielddependentviscosityondarcybrinkmanferroconvectionwithsecondsound AT sokalingammaruthamanikandan effectofmagneticfielddependentviscosityondarcybrinkmanferroconvectionwithsecondsound |