Effect of aligned magnetic field on the 2DOF VIV suppression and convective heat transfer characteristics of a circular cylinder

The present study numerically explores vortex-induced vibration (VIV) and convective heat transfer around a sprung cylinder under influence of the uniform streamwise and transverse magnetic fields. The finite volume method and an explicit integration approach were respectively employed to solve the governing equations of the fluid flow and rigid-body motion and analyze the two-way coupling fluid-structure interaction. Also, the magnetohydrodynamic was incorporated by adding the Lorentz force into the source terms of the momentum equations. To validate the numerical method, the obtained results were compared with those of other studies, and a good agreement was observed. The computations were performed at reduced velocities of 2-9 and different Stuart numbers (N). The results demonstrated that the y-directional magnetic field (B-y) had much higher effectiveness than the x-directional one (B-x), in the sense that the B-y magnetic field completely suppressed (100%) the transverse and longitudinal vibrations. However, depending on the reduced velocity, under the B-x magnetic field, the amplitude of the VIV could decline, remain unchanged, or even rise for U-r > 7. For both magnetic fields, by increasing Stuart number and suppressing the vortex shedding, the Nusselt number decreased. Interestingly, for B-y, when N > N-c, the cylinder wake was completely disappeared and the Nusselt number increased.