Nonlinear Analysis of the Non-Sinusoidal Temporal Periodic Modulation of Boundary Temperature and Non-Inertial Acceleration on Ferroconvection

Abstract

The paper reports the effects of different types of temporal periodic modulation of boundary temperature (TPMBT) on convective heat transfer in a rotating ferroliquid. The linear stability analysis yields the eigenvalue for the onset of convection. The amplitude equations for nonlinear analysis have been derived with the aid of the truncated double Fourier Series in its minimal mode. The system of amplitude equations which is a Lorenz-like model is a non-autonomous system due to TPMBT. The results for various parameters have been discussed for both terrestrial as well as the microgravity case. It is observed that increasing strength of the magnetic field advances the onset of convection but does not result in enhanced heat transfer. The Coriolis acceleration stabilizes the system and hence results in subdued heat transfer. It is also observed that choice of the waveform and frequency of modulation can be used to control heat transfer. Classical Lorenz model and the results of dielectric liquid can be obtained as a limiting case of the present study.