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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-54 Number-6
Year of Publication : 2018
Authors : Ramya Rajagopal, Shelin Elizabeth Jacob, Sangeetha George K
  10.14445/22315373/IJMTT-V54P558

MLA

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). V54(6):477-484 February 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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