Effect of rotation on a layer of micropolar ferromagnetic fluid heated from below saturating a porous medium |
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| Affiliation: | 1. Department of Applied Sciences, National Institute of Technology, Hamirpur 177 005, India;2. Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla 171 005, India;1. Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, POB 314, Northeastern University, Shenyang 110819, China;2. Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, China;3. School of Environment and Municipal Engineering, Qingdao Technological University, Qingdao 266033, China;1. Mechanical Power Engineering Department, Faculty of Engineering, Tanta University, Tanta, Egypt;2. Department of Mech. Power Eng., Faculty of Eng., Menoufia University, Shebin El-Kom, Egypt;1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, Bologna 40136, Italy;2. Department of Mechanical Engineering, University of Bath, Claverton Down, Bath BA2 7AY, UK |
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| Abstract: | This paper deals with the theoretical investigation of the effect of rotation on a layer of micropolar ferromagnetic fluid heated from below saturating a porous medium subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained using a linear stability analysis theory and normal mode analysis method. For the case of stationary convection, the effect of various parameters like medium permeability, rotation, non-buoyancy magnetization, coupling parameter, spin diffusion parameter and micropolar heat conduction has been analyzed. The critical magnetic thermal Rayleigh number for the onset of instability are also determined numerically for sufficiently large values of magnetic parameter M1 and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the micropolar ferromagnetic fluid saturating a porous medium heated from below in the absence of micropolar viscous effect, microinertia and rotation. The oscillatory modes are introduced due to the presence of the micropolar viscous effect, microinertia and rotation, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. |
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