Thermoconvective instability in a vertically oscillating horizontal ferrofluid layer with variable viscosity
- Title
- Thermoconvective instability in a vertically oscillating horizontal ferrofluid layer with variable viscosity
- Creator
- Aanam A N.; Siddheshwar P.G.; Nagouda S.S.; Pranesh S.
- Description
- The paper sheds light on the linear and nonlinear stability of a ferrofluid with the temperature and magnetic-field-dependent viscosity subjected to an imposed time-periodic gravity modulation. The perturbations in the system due to external reasons are expanded in terms of the amplitude of modulation in the case of linear stability and a truncated representation of the Fourier series in the case of nonlinear stability. A nonautonomous Lorenz model for the problem is first obtained, and both linear and nonlinear analyses of the system are performed using this. The expression for the critical Rayleigh number, (Formula presented.), and the correction Rayleigh number, (Formula presented.), is found from the linearized Lorenz model. The Lorenz system of equations is solved for the amplitude to arrive at the Nusselt number (Nu), which quantifies the heat transport. In the study we find that the thermorheological effect and the magnetization effect work in unison to destabilize the system, while the magnetorheological effect and the effect of vertical oscillations stabilize the system. The influence of the parameters on the heat transport is the opposite to their effect on the critical Rayleigh number. The results of the paper agree quite well with those of limiting cases. 2020 Wiley Periodicals LLC
- Source
- Heat Transfer, Vol-49, No. 8, pp. 4543-4564.
- Date
- 2020-01-01
- Publisher
- John Wiley and Sons Inc
- Subject
- ferrofluid; g-jitter; magnetic numbers; magnetorheological; modulation; sawtooth; sinusoidal; thermorheological; variable viscosity; waveforms
- Coverage
- Aanam A N., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Nagouda S.S., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Pranesh S., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India
- Rights
- Restricted Access
- Relation
- ISSN: 26884534
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Aanam A N.; Siddheshwar P.G.; Nagouda S.S.; Pranesh S., “Thermoconvective instability in a vertically oscillating horizontal ferrofluid layer with variable viscosity,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/16139.