RayleighBard convection in a BoussinesqStokes ferromagnetic fluid under sinusoidal and non-sinusoidal internal heat modulation
- Title
- RayleighBard convection in a BoussinesqStokes ferromagnetic fluid under sinusoidal and non-sinusoidal internal heat modulation
- Creator
- Meghana J.; Pranesh S.
- Description
- Internal heat modulation has several applications in nuclear reactor design and safety, as well as meteorology. In this paper, the influence of internal heat modulation on RayleighBard convection in a BoussinesqStokes ferromagnetic fluid is explored using linear and nonlinear analyses. The impact of the square, sine, triangular, and sawtooth wave type of internal heat modulation on the onset of convection and heat transport is considered. Using a Venezian method, linear stability analysis is performed to derive the correction Rayleigh number and the critical Rayleigh number for all four waveforms. A nonautonomous Lorenz model is derived and solved for the amplitude to obtain the Nusselt number, which quantifies the heat transport. The impact of the nondimensional parameter on the convective onset and heat transfer under heat source/sink modulation is analyzed. The study shows that all four types of internal heat modulation destabilize the system. It is also found that the presence of a heat source/sink modulation affects the impact of all four types of internal heat modulation on heat transport. 2022 Wiley Periodicals LLC.
- Source
- Heat Transfer, Vol-51, No. 6, pp. 5030-5052.
- Date
- 2022-01-01
- Publisher
- John Wiley and Sons Inc
- Subject
- BoussinesqStokes suspensions; ferromagnetic fluids; internal Rayleigh number; time-dependent heat source/sink; waveforms
- Coverage
- Meghana J., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Pranesh S., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India
- Rights
- Restricted Access
- Relation
- ISSN: 26884534
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Meghana J.; Pranesh S., “RayleighBard convection in a BoussinesqStokes ferromagnetic fluid under sinusoidal and non-sinusoidal internal heat modulation,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/14999.