Comparative study of sinusoidal and non-sinusoidal two-frequency internal heat modulation in a Rayleigh-Bard system

Title

Comparative study of sinusoidal and non-sinusoidal two-frequency internal heat modulation in a Rayleigh-Bard system

Creator

Mathew A.; Pranesh S.

Description

A linear stability analysis is assented to investigate the effect of two-frequency internal heat modulation at the onset of convection in a Newtonian liquid. The correction Rayleigh number and wave number for small amplitudes is calculated using the Venezian approach. Under two-frequency internal heat modulation, the motion is found to be subcritical. To quantify heat transfer in the system, the three-mode Lorenz model is solved numerically. Various combinations of sinusoidal and non-sinusoidal waveforms influence the onset of convection and heat transfer in the system due to two-frequency internal heat modulation. The parameters' influence on heat transfer is seen to be dependent on the presence of a heat source or sink. 2021 Wiley Periodicals LLC.

Source

Heat Transfer, Vol-51, No. 3, pp. 2780-2807.

Date

2022-01-01

Publisher

John Wiley and Sons Inc

Subject

internal heat source; internal rayleigh number; non-sinusoidal; sinusoidal; two-frequency

Coverage

Mathew A., Research Scholar, Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Hosur Main Road, Bengaluru, 560029, India; Pranesh S., Research Scholar, Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Hosur Main Road, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 26884534

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1002/htj.22425

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