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2018 | Vol. 23, no. 4 | 911--928
Tytuł artykułu

Linear stability effect of densely distributed porous medium and Coriolis force on Soret driven ferrothermohaline convection

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The effect of Coriolis force on the Soret driven ferrothermohaline convection in a densely packed porous medium has been studied. A linear stability analysis is carried out using normal mode technique. It is found that stationary convection is favorable for the Darcy model, therefore oscillatory instability is studied. A small thermal perturbation is applied to the basic state and linear stability analysis is used for which the normal mode technique is applied. It is found that the presence of a porous medium favours the onset of convection. The porous medium is assumed to be variable and the effect of the permeable parameter is to destabilize the system. The present work has been carried out both for oscillatory as well as stationary instabilities. The results are depicted graphically.
Wydawca

Rocznik
Strony
911--928
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Pondicherry Engineering College Puducherry - 605 014, INDIA, rsekar@pec.edu
autor
  • Department of Mathematics, Pondicherry Engineering College Puducherry - 605 014, INDIA
Bibliografia
  • [1] Finlayson B.A. (1970): Convective instability of ferromagnetic fluids. – J. Fluid Mech., vol.40, pp.753-767.
  • [2] Das Gupta M. and Gupta A.S. (1979): Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis. – Int. J. Engng. Sci., vol.17, pp.271-277.
  • [3] Zhan M. and Rosensweig R.E. (1980): Stability of magnetif fluid penetration through a porous medium with uniform magnetic field oblique to the interface. – IEEE Transactions of Magnetic, vol.16, pp.275-282.
  • [4] Sekar R., Vaidyanathan G. and Ramanathan A. (1993): The ferroconvection in fluids saturating a rotating densely packed porous medium. – Int. J. of Engng. Sci., vol.31, pp.241-50.
  • [5] Sekar R. and Vaidyanathan G. (1993): Convective instability of a magnetized ferrofluid in a rotating porous medium. – Int. J. of Engng. Sci., vol.31, pp.1139-1150.
  • [6] Vaidyanathan G., Sekar R. and Ramanathan A. (1998): Effects of rotation and anisotropy of a porous medium on ferroconvection. – Ind. J. of Engng. and Mater. Sci., vol.5, pp.436-440.
  • [7] Sekar R., Vaidyanathan G. and Ramanathan A. (1998): Effects of rotation on ferrothermohaline convection saturating a porous medium. – Ind. J. Engng. and Mater. Sci., vol.5, pp.445-452.
  • [8] Sekar R., Vaidyanathan G. and Ramanathan A. (2000): Effect of rotation on ferrothermohaline convection. – J. of Magn. and Magn. Mater., vol.218, pp.266-272.
  • [9] Hurle D.T.J. and Jakemann E.J. (1971): Soret-driven thermo solutal convection. – J. Fluid Mech., vol.47, pp.667-687.
  • [10] Ryskin A., Muller H.W and Pleiner H. (2003): Thermo diffusion effects in convection of ferrofluids. – Magnetohydrodynamics, vol.39, pp.51-55.
  • [11] Vaidyanathan G., Sekar R., Hemalatha R., Vasanthakumari R. and Senthilnathan S. (2005): Soret-driven ferrothermohaline convection. – J. of Magn. and Magn. Mater., vol.288, pp.460-469.
  • [12] Shevtsova M., Melnikov D.E. and Clegros J. (2006): Onset of convection in Soret driven instability. – Phys. Rev., E.73, pp.047302.
  • [13] Sekar R., Vaidyanathan G., Hemalatha R. and Senthilnathan S. (2007): Effect of Coriolis force on a Soret driven ferrothermohaline convective system. - Int. J. of Math. Sci., vol.6 pp.429-441.
  • [14] Vaidyanathan G., Sekar R. and Hemalatha R. (2007): Effect of coriolis force on a soret driven ferrothermohaline convection in a medium of sparse particle suspension. – Ind. J. of Pure and Appl. Phys., vol.45, pp.666-673.
  • [15] Sunil, Chand P., Mahajan A. and Sharma P. (2011): Effect of rotation on double diffusive convection in a magnetized ferrofluid with internal angular momentum. – J. Appl. Fluid Mech., vol.4, No.4, pp.43-52.
  • [16] Shivakumara I.S., Sureshkumar S. and Devaraju N. (2011): Coriolis effect on thermal convection in a couple stress fluid saturated rotating rigid porous layer. – Arch. of Appl. Mech., vol.81, pp.513-530.
  • [17] Ram P., Kumar V. (2012): Ferrofluid flow with magnetic field dependent viscosity due to rotating disk in porous medium. – Int. J. Appl. Mech., vol.4, No.4, pp.1250041.
  • [18] Ram P. and Sharma K. (2014): Effect of rotation and MFD viscosity on ferrofluid flow with rotating disk. – Ind. J. Pure and Appl. Phy., vol.52, pp.87-92.
  • [19] Sekar R., Vaidyanathan G., Hemalatha R. and Senthilnathan S. (2006): Effect of sparse distribution pores in a Soret-driven ferro thermohaline convection. – J. of Magn. and Magn. Mater., vol.302, pp.20-28.
  • [20] Sekar R., Raju K. and Vasanthakumari R. (2013): A linear analytical study on Soret-driven ferrothermohaline convection in an anisotropic porous medium. – J. of Magn. and Magn. Mater., vol.331, pp.122-128.
  • [21] Sekar R., Murugan D. and Raju K. (2013a): Stability analysis of thermohaline convection in ferromagnetic fluid in densely packed porous medium with Soret effect. – World J. of Engng., vol.10, pp.439-447.
  • [22] Sekar R. and Raju K. (2013): Effect of magnetic field dependent viscosity on Soret-driven thermoconvective instability of ferromagnetic fluid in the presence of rotating anisotropic porous medium of sparse particle suspension. – Int. J. of Math. Sci., vol.12, pp.13–31.
  • [23] Sekar R. and Raju K. (2014): Effect of magnetic field dependent viscosity on Soret-driven ferrothermohaline convection saturating an anisotropic porous medium of sparse particle suspension. – World J. of Engng., vol.11, pp.213-228.
  • [24] Sekar R. and Raju K. (2014a): Effect of Soret and temperature dependent viscosity on thermohaline convection in a ferrofluid saturating a porous medium. – Int. J. of Appl. Mech. and Engng., vol.19, pp.321-336.
  • [25] Sekar R., Raju K. and Vasanthakumari R. (2013b): Linear stability analysis of coriolis force on ferrothermohaline convection saturating an anisotropic porous medium with Soret effect. – Global J. of Math. Analy., vol.1, pp.37-47.
  • [26] Sekar R., Murugan D. and Raju K. (2016): Densely distribution pores and Coriolis force on thermohaline convection in a ferrofluid with Soret and anisotropy effects. – Int. J. Advanced Sci. and Tech., vol.87, pp.15-30.
  • [27] Sekar R., Murugan D. and Raju K. (2016a): Ferrothermoconvective instability in Soret driven convection saturating a densely packed anisotropic porous medium. – Int. J. Appl. Math. Electronics and Computers vol.4, No.2, pp.58-64.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.baztech-1e361e2b-4f99-4264-940d-a37c6cb2e8fc
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