Vol. 18 No. 3 (2019): Mapana Journal of Sciences
Research Articles

Effect of Rotational Modulation on Rayleigh – B´enard Convection in a Couple Stress Liquid

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  • S Pranesh,
  • Sangeetha George K
S Pranesh
CHRIST (Deemed to be University)
Sangeetha George K
Christ Academy Institute For Advanced Studies, Bengaluru Karnataka
DOI: https://doi.org/10.12723/mjs.50.1

Published 2021-08-28 — Updated on 2021-08-28

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Keywords

  • Rotational Modulation,
  • couple stress fluid,
  • Rayleigh-B´enard convection,
  • correction Rayleigh number

Copyright (c) 2019

Creative Commons License

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Abstract

The Rayleigh-B´enard convection in a couple stress liquid with rotational modulation is studied using the linear analysis based on normal mode technique. The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady rotation, a time-periodic sinusoidal perturbation is applied. The expression for Rayleigh number and correction Rayleigh number are obtained using regular perturbation method. The expression for correction Rayleigh number is obtained as a function of frequency of modulation, Taylor number, Couple Stress parameter and Prandtl number. It is observed that rotational modulation leads to delay in onset of convection. Rotation modulation is an example of external control of internal convection.

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