Ferroconvection In A Sparsely Distributed Porous Medium With Time-Dependent Sinusoidal Magnetic Field

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Authors

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

DOI:

https://doi.org/10.18311/jmmf/2022/30664

Keywords:

Ferromagnetic fluid, magnetic field modulation, perturbation method, stability, porous medium.

Abstract

The stability of a horizontal sparsely packed porous layer of a ferromagnetic fluid heated from below is examined when the fluid layer is subjected to time-dependent magnetic field modulation. The effects of the oscillating magnetic field are treated by a perturbation expansion in powers of the amplitude of the applied field. The onset criterion is derived based on the condition that the principle of exchange of stabilities is valid. The stability of the system, characterized by a correction Rayleigh number, is computed as a function of magnetic, porous parameters and the frequency of magnetic field modulation. It is found that the onset of magnetic field modulated ferroconvection can be delayed or advanced by controlling these parameters. The effect of various parameters is found to be significant for moderate values of the frequency of magnetic field modulation. The problem throws some light on external means of regulating convection in ferromagnetic fluid applications.

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Published

2022-07-12

How to Cite

Balaji, C., Rudresha, C., Vidya Shree, V., & Maruthamanikandan, S. (2022). Ferroconvection In A Sparsely Distributed Porous Medium With Time-Dependent Sinusoidal Magnetic Field. Journal of Mines, Metals and Fuels, 70(3A), 28–34. https://doi.org/10.18311/jmmf/2022/30664

Issue

Volume 70, Issue 3A, March 2022

Section

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References

Aniss, S., Belhaq, M. and Souhar, M. (2001): Effects of a magnetic modulation on the stability of a magnetic liquid layer heated from above. Journal of Heat Transfer, 123(3), 428–433.

Berkovsky, B. M., Medvedev, V. F. and Krakov, M. S. (1993): Magnetic fluids: engineering applications.

Bhadauria, B. S., & Kiran, P. (2014): Weak nonlinear analysis of magneto-convection under magnetic field modulation. Physica Scripta, 89(9).

Chandrasekhar, S. (1961): Hydrodynamic and hydromagnetic stability. International Series of Monographs on Physics.

Engler, H. and Odenbach, S. (2008): Thermomagnetic convection in magnetic fluids influenced by a timemodulated magnetic field. Pamm, 8(1), 10951–10952.

Engler, H. and Odenbach, S. (2009): Influence of parametric modulation on the onset of thermomagnetic convection. Pamm, 9(1), 515–516.

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

Gotoh, K. and Yamada, M. (1982): Thermal convection in a horizontal layer of magnetic fluids. Journal of the Physical Society of Japan, 51(9), 3042–3048.

Govender, S. (2004): Stability of convection in a gravity modulated porous layer heated from below. Transport in Porous Media, 57(1), 113–123.

Gupta, M. Das and Gupta, A. S. (1979): Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis. International Journal of Engineering Science, 17(3), 271–277.

Horng, H.-E., Hong, C.-Y., Yang, S.-Y. and Yang, H.-C. (2001): Novel properties and applications in magnetic fluids. Journal of Physics and Chemistry of Solids, 62(9– 10), 1749–1764.

Horton, C. W. and Rogers, F. T. (1945): Convection Currents in a Porous Medium. 367.

Kaloni, P. N. and Lou, J. X. (2005): Convective instability of magnetic fluids under alternating magnetic fields. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 71(6), 1–12.

Keshri, O. P., Kumar, A. and Gupta, V. K. (2019): Effect of internal heat source on magneto-stationary convection of couple stress fluid under magnetic field modulation. Chinese Journal of Physics, 57(November 2018), 105–115.

Kiran, P., Bhadauria, B. S. and Narasimhulu, Y. (2018): Oscillatory magneto-convection under magnetic field modulation. Alexandria Engineering Journal, 57(1), 445–453.

Lapwood, E. (1948): Convection of a fluid in a porous medium. Mathematical Proceedings of the Cambridge Philosophical Society, 44(4), 508–521.

Mahajan, A. and Parashar, H. (2020): Linear and weakly nonlinear stability analysis on a rotating anisotropic ferrofluid layer. Physics of Fluids, 32(2).

Malashetty, M. S. and Basavaraja, D. (2004): Effect of timeperiodic boundary temperatures on the onset of double diffusive convection in a horizontal anisotropic porous layer. International Journal of Heat and Mass Transfer, 47(10–11), 2317–2327.

Malashetty, M. S. and Padmavathi, V. (1997): Effect of gravity modulation on the onset of convection in a fluid and porous layer. International Journal of Engineering Science, 35(9), 829–840.

Matura, P. and Lücke, M. (2009): Thermomagnetic convection in a ferrofluid layer exposed to a time-periodic magnetic field. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(2), 1–9.

Nield, D. A. and Bejan, A. (2006): Convection in porous media (Vol. 3). Springer.

Popplewell, J. (1984): Technological applications of ferrofluids. Physics in Technology, 15(3), 150–156.

Rosensweig, R. E. (1997): Ferrohydrodynamics Cambridge University Press, Cambridge, 1985. Ferrofluids, Magnetically Controllable Fluids and Their Applications.

Stiles, P. J., Lin, F. and Blennerhassett, P. J. (1992): Heat transfer through weakly magnetized ferrofluids. Journal of Colloid And Interface Science, 151(1), 95–101.

Thomas, N. M. 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– 40.

Thomas, N. M. and Maruthamanikandan, S. (2018): Gravity modulation effect on ferromagnetic convection in a Darcy- Brinkman layer of porous medium. Journal of Physics: Conference Series, 1139(1).

Vafai, K. (2015): Handbook of porous media. Crc Press.

Veneziant, G. (1969): Modulation on the Onset. 35