A Non-Linear Stability Analysis of Rayleigh Bѐnard Magnetoconvection of a Couple Stress Fluid in the Presence of Rotational Modulation

Ramya Rajagopal; Shelin Elizabeth Jacob; Sangeetha George K

doi:https://doi.org/10.14445/22315373/IJMTT-V54P558

International Journal of Mathematics Trends and Technology

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Volume 54 | Number 6 | Year 2018 | Article Id. IJMTT-V54P558 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P558

A Non-Linear Stability Analysis of Rayleigh Bѐnard Magnetoconvection of a Couple Stress Fluid in the Presence of Rotational Modulation

Ramya Rajagopal, Shelin Elizabeth Jacob, Sangeetha George K

Abstract

The non-autonomous Ginzburg-Landau equation with time-periodic coefficients is derived for Rayleigh Bѐnard convection of couple stress fluid in the presence of rotational modulation and magnetic field. Nusselt number, which is obtained as function of the slow time scale, is used to quantify heat transport. The effects of Chandrasekhar number, Prandtl number, Magnetic Prandtl number, Taylor number and Couple stress parameter are studied in detail.

Keywords

Couple stress fluid, Rayleigh Bѐnard convection, Magnetic field, Ginzburg- Landau equation, Rotational modulation

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Citation :

Ramya Rajagopal, Shelin Elizabeth Jacob, Sangeetha George K, "A Non-Linear Stability Analysis of Rayleigh Bѐnard Magnetoconvection of a Couple Stress Fluid in the Presence of Rotational Modulation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 6, pp. 477-484, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P558