Comparative study of sinusoidal and non‐sinusoidal two‐frequency internal heat modulation in a Rayleigh‐Bénard system

Mathew, Ansa; Pranesh, S.

doi:10.1002/htj.22425

Cited by 2 publications

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References 46 publications

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“…Mathew and Pranesh 45 ( χ = 0) The sawtooth waveform is the most stabilizing, while the square waveform is the least stabilizing.…”

Section: Discussionmentioning

confidence: 99%

“…The study by Noor et al 44 sheds light on the impact of sinusoidal and non‐sinusoidal internal heat modulation on RBC in a viscoelastic fluid. Recently, a similar study was carried out by Mathew and Pranesh 45 in the Newtonian fluid by considering two‐frequency internal heat modulation. They used the Venezian technique to perform a linear stability analysis and concluded that the two‐frequency internal heat modulation destabilizes the system.…”

Section: Introductionmentioning

confidence: 91%

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Rayleigh–Bénard convection in a Boussinesq–Stokes ferromagnetic fluid under sinusoidal and non‐sinusoidal internal heat modulation

Meghana

Pranesh

2022

Heat Trans

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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 Rayleigh-Bénard convection in a Boussinesq-Stokes 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.

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“…Mathew and Pranesh 45 ( χ = 0) The sawtooth waveform is the most stabilizing, while the square waveform is the least stabilizing.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 91%

Rayleigh–Bénard convection in a Boussinesq–Stokes ferromagnetic fluid under sinusoidal and non‐sinusoidal internal heat modulation

Meghana

Pranesh

2022

Heat Trans

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In‐phase, out‐of‐phase, bottom‐wall two‐frequency boundary temperature modulations on the onset of Rayleigh‐Bénard convection

Mathew

Pranesh

2022

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The onset of convection in a Newtonian liquidcontaining system is investigated using a twofrequency boundary temperature. The consequences of three types of two-frequency boundary temperature modulations have been thoroughly investigated: (i) inphase, (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 approved and the critical Rayleigh number and its correction are calculated. The parameters resulting from the study's two frequencies of modulation are the mixing angle, χ , the amplitudes, β δ , , and the set of coprime integers, r r ( , ) 1 2 . 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 inphase 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.

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Comparative study of sinusoidal and non‐sinusoidal two‐frequency internal heat modulation in a Rayleigh‐Bénard system

Cited by 2 publications

References 46 publications

Rayleigh–Bénard convection in a Boussinesq–Stokes ferromagnetic fluid under sinusoidal and non‐sinusoidal internal heat modulation

Rayleigh–Bénard convection in a Boussinesq–Stokes ferromagnetic fluid under sinusoidal and non‐sinusoidal internal heat modulation

In‐phase, out‐of‐phase, bottom‐wall two‐frequency boundary temperature modulations on the onset of Rayleigh‐Bénard convection

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