In-phase, out-of-phase, bottom-wall two-frequency boundary temperature modulations on the onset of Rayleigh-Bard convection
- Title
- In-phase, out-of-phase, bottom-wall two-frequency boundary temperature modulations on the onset of Rayleigh-Bard convection
- Creator
- Mathew A.; Pranesh S.
- Description
- The onset of convection in a Newtonian liquid-containing system is investigated using a two-frequency boundary temperature. The consequences of three types of two-frequency boundary temperature modulations have been thoroughly investigated: (i) in-phase, (ii) out-of-phase, and(iii) bottom-wall. The combined effect of two frequencies with sinusoidal and nonsinusoidal wave types is also documented under these various types of boundary temperature modulations. To facilitate the study, the Venezian method is approvedand the critical Rayleigh number and its correction are calculated. The parameters resulting from the study's two frequencies of modulation are the mixing angle, (Formula presented.), the amplitudes, (Formula presented.), and the set of coprime integers, (Formula presented.). The system's thermodynamics determines the range of these parameters. The research discovered that out-of-phase two-frequency boundary temperature modulation is the most stable, while in-phase is the least stable. Besides that, any combination of wave type with square wave type yields the most excellent stability. Furthermore, the two-frequency boundary temperature modulation is more stable than the single-frequency and no-modulation cases. 2022 Wiley Periodicals LLC.
- Source
- Heat Transfer, Vol-52, No. 1, pp. 826-853.
- Date
- 2023-01-01
- Publisher
- John Wiley and Sons Inc
- Subject
- bottom-wall; boundary temperature; in-phase; out-of-phase; wave types
- Coverage
- Mathew A., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, India; Pranesh S., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, India
- Rights
- Restricted Access
- Relation
- ISSN: 26884534
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Mathew A.; Pranesh S., “In-phase, out-of-phase, bottom-wall two-frequency boundary temperature modulations on the onset of Rayleigh-Bard convection,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/14688.