EGU2020-21632
https://doi.org/10.5194/egusphere-egu2020-21632
EGU General Assembly 2020
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Convection of Electrically Conducting Fluid in a Rotating Magnetic System: Cross rolls

Yadagiri Rameshwar1, Gudukuntla Srinivas1, Hari Ponnamma Rani2, Jozef Brestensky3, and Enrico Filippi3
Yadagiri Rameshwar et al.
  • 1Department of Mathematics, University College of Engineering, Osmania University, Hyderabad, Telangana, INDIA (rameshwar@osmania.ac.in)
  • 2Department of Mathematics, National Institute of Technology, Warangal, Telangana, INDIA
  • 3Department of Astronomy, Physics of the Earth and Meteorology, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, SLOVAKIA

We have studied theoretically the weakly nonlinear analysis in a rotating Rayleigh-Benard system of electrically conducting fluid in the presence of applied horizontal magnetic field with free-free boundary conditions [1]. This theoretical approach is carried near the onset of convection to study the flow behavior at the occurrence of cross rolls, which are perpendicular to the applied magnetic field. The nonlinear problem is solved by using the Fourier analysis of perturbations up to the O(ε8) to study the cross rolls visualization [2,3]. The dependence of the Nusselt number on the Rayleigh number, Ekman number, Elsasser number is extensively examined. The fluid flow is visualized in terms of kinetic energy, potential energy, streamlines, isotherms, and heatlines.

 

References :

[1] P. H. Roberts and C. A. Jones , The Onset of Magnetoconvection at Large Prandtl Number in a Rotating Layer I. Finite Magnetic Diffusion, Geophysical and Astrophysical Fluid Dynamics, Vol. 92, pp. 289-325 (2000).

[2] H.L. Kuo, Solution of the non-linear equations of the cellular convection and heat transport,  Journal of Fluid Mechanics,  Vol.10, pp.611-630 (1961).

[3] Y. Rameshwar, M. A. Rawoof Sayeed, H. P. Rani, D. Laroze, Finite amplitude cellular convection under the influence of a vertical magnetic field, International Journal of Heat and Mass Transfer, Vol. 114, pp.  559-577 (2017).

How to cite: Rameshwar, Y., Srinivas, G., Rani, H. P., Brestensky, J., and Filippi, E.: Convection of Electrically Conducting Fluid in a Rotating Magnetic System: Cross rolls, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-21632, https://doi.org/10.5194/egusphere-egu2020-21632, 2020