<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.</p></abstract>

The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.

Magneto-rotatory compressible couple-stress fluid heated from below in porous medium

Department of Mathematics, Centre of Excellence, Sanjauli, Shimla, India

Studia Geotechnica et Mechanica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field....

Magneto-rotatory compressible couple-stress fluid heated from below in porous medium

Publié en ligne: 18 avr. 2016

Pages: 55 - 63

DOI: https://doi.org/10.1515/sgem-2016-0006

Mots clés
compressible couple-stress fluid, thermal convection, porous medium, rotation, magnetic field

© 2016 Chander Bhan Mehta, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Magneto-rotatory compressible couple-stress fluid heated from below in porous medium

Publié en ligne: 18 avr. 2016

Pages: 55 - 63

DOI: https://doi.org/10.1515/sgem-2016-0006

Mots cléscompressible couple-stress fluid, thermal convection, porous medium, rotation, magnetic field

© 2016 Chander Bhan Mehta, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
compressible couple-stress fluid, thermal convection, porous medium, rotation, magnetic field