Linear and weakly non-linear stability analysis of oscillatory convection in rotating ferrofluid layer

作者：

Highlights：

• Effect of uniform vertical rotation on the convective stability of the ferrofluid layer is investigated.

• Oscillatory motions in ferroconvection under the influence of rotation with finite amplitude are studied.

• Effects of various parameters on linear and nonlinear stabilities have been investigated using numerical computation.

• Values of the critical Rayleigh numbers for linear stability convection have been obtained numerically.

• In nonlinear stability analysis, effect of various parameters on heat transfer rate (Nusselt number) is discussed.

摘要

•Effect of uniform vertical rotation on the convective stability of the ferrofluid layer is investigated.•Oscillatory motions in ferroconvection under the influence of rotation with finite amplitude are studied.•Effects of various parameters on linear and nonlinear stabilities have been investigated using numerical computation.•Values of the critical Rayleigh numbers for linear stability convection have been obtained numerically.•In nonlinear stability analysis, effect of various parameters on heat transfer rate (Nusselt number) is discussed.

论文关键词：Nonlinear stability,Ferrofluids,Rotation,Complex Ginzburg-Landau equation,Oscillatory convection,Pitchfork bifurcation

论文评审过程：Received 17 July 2021, Revised 12 March 2022, Accepted 7 May 2022, Available online 23 May 2022, Version of Record 23 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127239