The onset of RayleighBard convection and heat transfer under two-frequency rotation modulation

Title

The onset of RayleighBard convection and heat transfer under two-frequency rotation modulation

Creator

Mathew A.; Pranesh S.

Description

The impact of 16 combinations of sinusoidal (sine) and nonsinusoidal (square, triangular, and sawtooth) time-periodic Coriolis force (rotation modulation) on RayleighBard convection in a Newtonian liquid is studied in this paper. This consideration is made to capture the possible effects of two-frequency rotation modulation on stability, that is, the onset of convection and the simultaneous amount of heat transfer in the system. The Venezian approach has been asserted on the linearized Lorenz model to derive the correction Rayleigh number as a function of the two frequencies. The Lorenz model with nonlinearities is evaluated numerically to assess the quantity of heat transfer in the system. The present study states that in comparison with existing studies of no-modulation and single-frequency rotation modulation, two-frequency rotation modulation yields higher stability bounds and thus diminishes the heat transfer. Heat transfer is found to be enhanced by a pair of coprime integers associated with the harmonics in the system. 2021 Wiley Periodicals LLC

Source

Heat Transfer, Vol-50, No. 7, pp. 7472-7494.

Date

2021-01-01

Publisher

John Wiley and Sons Inc

Subject

Coriolis force; nonsinusoidal waveform; rotation modulation; sinusoidal waveform; two-frequency

Coverage

Mathew A., 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

Identifier

https://doi.org/10.1002/htj.22239

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