Effect Of MFD Viscosity On Ferroconvection In A Fluid Saturated Porous Medium With Variable Gravity

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Authors

  • V. Vidya Shree
     ,IN
  • C. Rudresha
     ,IN
  • C. Balaji
     ,IN
  • S. Maruthamanikandan
     ,IN

DOI:

https://doi.org/10.18311/jmmf/2022/30675

Keywords:

Ferrofluid, MFD viscosity, porous media, magnetic field, variable gravity.

Abstract

Convective instability of a horizontal ferromagnetic fluid saturated porous layer with magnetic field dependent (MFD) viscosity subjected to gravity field varying with distance in the layer is investigated. The fluid motion is described by the Brinkman model. The method of small perturbation is applied and the resulting eigenvalue problem is solved using the higher order Galerkin technique. The stationary instability is shown to be the preferred mode of instability and the resulting eigenvalue problem is solved by taking into account the realistic rigidrigid- isothermal boundary conditions. The study reveals that the effect of MFD viscosity is to delay the onset of ferroconvection and the stabilizing effect of MFD viscosity is reduced when the magnetic Rayleigh number is sufficiently large. In the presence of variable gravity, the effect of magnetic and non-magnetic parameters on ferroconvective instability is also discussed.

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Published

2022-07-12

How to Cite

Vidya Shree, V., Rudresha, C., Balaji, C., & Maruthamanikandan, S. (2022). Effect Of MFD Viscosity On Ferroconvection In A Fluid Saturated Porous Medium With Variable Gravity. Journal of Mines, Metals and Fuels, 70(3A), 98–103. https://doi.org/10.18311/jmmf/2022/30675

Issue

Volume 70, Issue 3A, March 2022

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References

Abraham, A. (2002): Rayleigh-Benard convection in a micropolar ferromagnetic fluid. International Journal of Engineering Science, 40(4), 449–460.

Bala, A. and Chand, R. (2015): Variable Gravity Effect on the Thermal Instability of Ferrofluid in a Brinkman Porous Medium. International Journal of Astronomy, Astrophysics and Space Science, 2(5), 39–44.

Finlayson, B. A. (1970): Convective instability of ferromagnetic fluids. Journal of Fluid Mechanics, 40(4), 753–767.

Gupta, A. S. (1979): Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis. Int. J. Engg Sci, 17(2), 271–277.

Hemalatha, R. (2014): Study of magnetic field dependent viscosity on a soret driven ferrothermohaline convection in a rotating porous medium. Ijame, 19(1), 61–77.

Kaloni, P. N. and Lou, J. X. (2004): Convective instability of magnetic fluids. Physical Review EStatistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(2), 12.

Mahajan, A. and Sharma, M. K. (2018): The onset of convection in a magnetic nanofluid layer with variable gravity effects. Applied Mathematics and Computation, 339, 622–635.

Maruthamanikandan, S (2003): Effect of radiation on Rayleigh-Bénard convection in ferromagnetic fluids. Int. J. Appl. Mech. Engg., 8(3), 449-459.

Maruthamanikandan S, Nisha Mary Thomas and Soya Mathew (2018): Thermorheological and magnetorheological effects on Marangoniferroconvection with internal heat generation. J. Phys.: Conf. Series, 1139, 012024.

Maruthamanikandan S, Nisha Mary Thomas and Soya Mathew (2021): Bénard-Taylor ferroconvection with time-dependent sinusoidal boundary temperatures. J. Phys.: Conf. Series, 1850, 012061.

Nanjundappa C.E., Shivakumara, I.S. and Ravisha, M. (2010): The onset of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium. Meccanica, 45, 213–226.

Nisha Mary Thomas and Maruthamanikandan S (2013): Effect of gravity modulation on the onset of ferroconvection in a densely packed porous layer, IOSR J. Appl. Phys., 3, 30.

Pradhan, G. K. and Samal, P. C. (1987): Thermal stability of a fluid layer under variable body forces. Journal of Mathematical Analysis and Applications, 122(2), 487– 495.

Prakash, J., Kumar, P., Manan, S. and Sharma, K. R. (2020): The Effect of Magnetic Field Dependent Viscosity on Ferromagnetic Convection in a Rotating Sparsely Distributed Porous Medium - Revisited. International Journal of Applied Mechanics and Engineering, 25(1), 142–158.

Pundir, S. K., Nadian, P. K. and Pundir, R. (2021): Effect of magnetic field on thermosolutal instability of rotating ferromagnetic fluid under varying gravity field. International Journal of Applied Mechanics and Engineering, 26(1), 201–214.

Pundir, Sudhir Kumar, Nadian, P. K. and Pundir, R. (2021): Thermal Instability of a Couple-Stress Ferromagnetic Fluid in the Presence of Variable Gravity Field and Horizontal Magnetic Field with Hall Currents Saturating in a Porous Medium. Journal of University of Shanghai for Science and Technology, 23(1).

Ram, K., Kumar, P. and Prakash, J. (2019): Ferromagnetic convection in the presence of dust particles with magnetic field dependent. 18(3), 201–214.

Rana, G. C. (2013): Thermoslutal Convection in Walters’ (Model B’) Rotating Fluid Permeated with Suspended Particles and Variable Gravity Field in Porous Medium in Hydromagnetics G. Journal of Applied Fluid Mechanics, 6(1), 87–94.

Rana, G. and Kumar, S. (2010): Thermal instability of Rivlin-Ericksen elasto-viscous rotating fluid permeating with suspended particles under variable gravity field in porous medium. Studia Geotechnica et Mechanica, Vol. 32(nr 4), 39–54.

Sharma, V., Rana, G. C. and Hill, S. (2001): Thermal Instability of a Walters’ (Model B. J.Non-Equilib. Thermodyn., 26, 31–40.

Shorter, A. (1983): convection effect on thermal ignition in porous medium. Chemical Engineering Science, 39(3), 610–612.

Soya Mathew and Maruthamanikandan S (2018): Darcy-Brinkman ferroconvection with temperature dependent viscosity J. Phys.: Conf. Series, 1139, 012023.

Stiles, P. J. and Kagan, M. (1990): Thermoconvective instability of a horizontal layer of ferrofluid in a strong vertical magnetic field. Journal of Magnetism and Magnetic Materials, 85(1–3), 196–198.

Straughan, B. (1989). Convection in a variable gravity field. Journal of Mathematical Analysis and Applications, 140(2), 467–475.

Sunil, Anupama and Sharma, R. C. (2005): The effect of magnetic field dependent viscosity on thermosolutal convection in ferromagnetic fluid. Applied Mathematics and Computation, 163(3), 1197– 1214.

Vaidyanathan, G., Sekar, R. and Balasubramanian, R. (1991): Ferroconvective instability of fluids saturating a porous medium. International Journal of Engineering Science, 29(10), 1259–1267.

Venkatasubramanian, S. and Kaloni, P. N. (1994): Effects of rotation on the thermoconvective instability of a horizontal layer of ferrofluids. International Journal of Engineering Science, 32(2), 237–256.

Wooding, R. A. (1960): Rayleigh instability of a thermal boundary layer in flow through a porous medium. Journal of Fluid Mechanics, 9(2), 183–192.

Yamada, M. (1982): Thermal Convection in a Horizontal Layer of Magnetic Fluids. In Journal of the Physical Society of Japan (Vol. 51, Issue 9, pp. 3042–3048).