Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

The proposed planer layer dynamo physical model has real-world applications, especially in the Earth’s liquid core. Thus, this paper, an attempt is made to understand finite amplitude convection when there exists a coupling between Lorentz force and Coriolis force. In particular, effect of horizontally applied magnetic field studied on Rayleigh–Bénard (RBC) that contains electrically conducting fluid rotates about its vertical axis. Free–free boundary conditions are assumed geometry. Attention focused nonlinear convective flow behavior during occurrence cross rolls which perpendicular parallel rotation visualization achieved using Fourier analysis perturbations up O(ε8). relationship Nusselt number (Nu) with respect Rayleigh (R), Ekman (E), Elsasser (Λ) investigated. It observed E generates strong damping velocity heat transfer at high rates. Using heatline concept, it temperature within central regime enhanced as Λ increases. results show either decreases or increases, then rate