Numerical and analytical investigations of thermosolutal instability in rotating Rivlin-Ericksen fluid in porous medium with Hall current |
| |
| Authors: | S.KUMAR V.SHARMA K.KISHOR |
| |
| Affiliation: | 1. Department of Mathematics, Government College, Mandi 175001, India;2. Department of Mathematics, Himachal Pradesh University, Summer Hill Shimla 171005, India;3. Department of Mathematics, Government Senior Secondary School, Sunder Nagar 175002, India |
| |
| Abstract: | Numerical and analytical investigations of the thermosolutal instability in a viscoelastic Rivlin-Ericksen fluid are carried out in the presence of a uniform vertical magnetic field to include the Hall current with a uniform angular velocity in a porous medium. For stationary convection, the stable solute gradient parameter and the rotation have stabilizing effects on the system, whereas the magnetic field and the medium permeability have stabilizing or destabilizing effects on the system under certain conditions. The Hall current in the presence of rotation has stabilizing effects for sufficiently large Taylor numbers, whereas in the absence of rotation, the Hall current always has destabilizing effects. These effects have also been shown graphically. The viscoelastic effects disappear for stationary convection. The stable solute parameter, the rotation, the medium permeability, the magnetic field parameter, the Hall current, and the vis-coelasticity introduce oscillatory modes into the system, which are non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. |
| |
| Keywords: | thermosolutal instability Rivlin-Ericksen rotating fluid Hall current magnetic field porous medium |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
|
