Effects of variable viscosity and rotation modulation on ferroconvection

Title

Effects of variable viscosity and rotation modulation on ferroconvection

Creator

Aanam A N.; Siddheshwar P.G.; Nagouda S.S.; Pranesh S.

Description

We theoretically explore the dynamics of a ferrofluid with temperature and magnetic field-dependent viscosity, which is in a RayleighBard situation and is subjected to rotation. The problem considers both sinusoidal and non-sinusoidal time-periodic variations of rotation to study the onset and post-onset regimes of RayleighBard ferroconvection. We perform a weakly nonlinear stability analysis using a truncated Fourier series representation and arrive at the third-order Lorenz system for ferrofluid convection with variable viscosity. By using the linearized form of the Lorenz system for ferrofluid convection with variable viscosity, we arrive at the critical Rayleigh number to study the onset of rotating ferroconvection. The heat transport is quantified in terms of the time-averaged Nusselt number and the effects of various parameters on it are studied. The effect of modulated rotation is found to have a stabilizing effect on the onset of ferroconvection while that of variable viscosity has a destabilizing effect. The effects of magnetorheological and thermorheological effects are antagonistic in nature. It is found that the square waveform modulation facilitates maximum heat transport in the system due to advanced onset of ferroconvection. 2021, Akadiai Kiad Budapest, Hungary.

Source

Journal of Thermal Analysis and Calorimetry, Vol-147, No. 7, pp. 4667-4682.

Date

2022-01-01

Publisher

Springer Science and Business Media B.V.

Subject

Ferrofluid; Magnetic numbers; Magnetorheological; Modulation; Rotation; Sawtooth; Sinusoidal; Taylor number; Thermorheological; Variable Viscosity; Waveforms

Coverage

Aanam A N., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 29, India; Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 29, India; Nagouda S.S., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 29, India; Pranesh S., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 29, India

Rights

Restricted Access

Relation

ISSN: 13886150; CODEN: JTACF

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s10973-021-10820-4

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