Vol. 20 No. 2 (2021): Mapana Journal of Sciences
Research Articles

Effect of Coriolis Force and Gravity Modulation on the onset of Double Diffusive Convection in a Weak Electrically Conducting Boussinesq-Stokes Suspensions with Saturated Porous Media

PDF
  • Anjana Kenath
Anjana Kenath
Mount Carmel college
Bio

Published 2021-04-01

Keywords

  • Boussinesq-Stokes suspension,
  • Rayleigh-Benard convection,
  • Double diffusive convection,
  • gravity modulation

Copyright (c) 2021

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Abstract

The effect of gravity modulation along with rotation is analysed in Boussinesq-Stokes suspension in a porous media subjected to double diffusive convection. The study consists of a linear and a non-linear analysis. The thermal Rayleigh number is obtained using a regular perturbation technique. The study suggests that instead of taking electrically non-conducting fluid it is better to consider electrically conducting fluid with weak electrical conductivity as this ensures a stable environment in the presence of a magnetic field. Taylor number is found to stabilize the system. The nonlinear analysis is done using a truncate Fourier series expansion that give rise to a system of Lorenz equations. Nusselt and Sherwood numbers are used to quantify the heat and mass transfer, respectively. Frequency of modulation stabilizes the system which can be controlled to our desire.

PDF

References

  1. V. K. Stokes, “Couple stress in fluids.” Phys. Fluids, vol. 9, pp. 1079-1715, 1966.
  2. V. K. Stokes, Theories of fluids with microstructure, Springer, New York, 1984.
  3. M. S. Swamy, I. S. Shivakumara, and N. B. Naduvinamani, “Effect of gravity modulation on electrothermal convection in a dielectric fluid saturated anisotropic porous layer”, J. Heat Transfer., vol. 136, no. 5, pp. 032601, 2014.
  4. S. N. Gaikwad and S. Kouser, “Double diffusive convection in a couple stress fluid saturated porous layer with internal heat source”, Int. J. Heat Mass Transf., vol 78, pp. 1254-1264, 2014. A. J. Pearlstein, “Effect of rotation on the stability of a doubly diffusive fluid layer”, J. Fluid Mech., vol. 103, pp. 389-412, 1981.
  5. R. C. Sharma, “Effect of rotation on thermal instability of a viscoelastic fluid”, Acta Physiol. Hung., vol. 40, pp. 11 – 17, 2006.
  6. B.S. Bhaduria and P. Kiran, “Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source”, Ain Shams Engineering Journal, 5, pp. 1287-1297, 2014.
  7. G. Shalini and B. Mahantesh, “Rayleigh-Benard Convection in a Dusty Newtonian Nanofluid With and Without Coriolis Force,” J. Nanofluids, vol. 7, no. 6, pp. 1240-1246, 2018.
  8. K. Julien, “Scaling laws in Rayleigh-Benard convection”, Earth Space Sci., vol. 6, no. 9, pp. 1580-1592, 2019.
  9. P. G. Siddheshwar and S. Pranesh, “Effect of temperature/gravity modulation on the onset of magneto-convection in weak electrically conducting fluids with internal angular momentum”, J. Magn. Magn. Mat., vol. 192, no. 1, pp. 159 - 176, 1999.
  10. S. Tarannum and S. Pranesh, “Effect of gravity modulation on the onset of Rayleigh-Bénard convection in a weak electrically conducting couple stress fluid with saturated porous layer”, Int. J. Engg. Res. Tech., vol 5, no. 1, pp. 914- 928, 2016.
  11. B. S. Bhadauria, “Onset of magneto-convection in an electrically conducting-fluid-saturated porous medium under gravity modulation”, Bull. Pure Appl. Math. vol. 3, pp. 142-57, 2009.
  12. D. A. Nield and C. T. Simmons, “A brief introduction to convection in porous media”, Transp. Porous Media, vol. 130, pp. 237-250, 2019.
  13. T. Sivakumar and S. Saravana, “Effect of Gravity Modulation on the Onset of Convection in a Horizontal Anisotropic Porous Layer”, AIP Conf. Proc. vol. 1146, pp. 472-478, 2009.
  14. S. Baljinder S. and S. C. Rajvanshi, “Three-dimensional MHD free-convection flow past an infinite vertical porous plate with periodic suction and gravity modulation”, Acta Tech., vol. 55, pp. 237–258, 2010.
  15. B. S. Bhadauria and P. Kiran, “Weak Nonlinear Double Diffusive Magneto-Convection in a Newtonian Liquid under Gravity Modulation”, J. Appl. Fluid Mech., vol. 8, No. 4, pp. 735-746, 2015.
  16. G. Venezian, “Effect of modulation on the onset of thermal convection”, J. Fluid Mech., vol. 35, no. 2, pp. 243 - 254, 1969.