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Triple diffusive convection of a non-Newtonian fluid under the combined effect of compressibility and variable gravity

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Języki publikacji
EN
Abstrakty
EN
In this paper, triple diffusive convection in a Rivlin-Ericksen fluid layer, which is permeated with suspended particles in the porous medium under the effect of compressibility and variable gravity, is investigated. Linear stability theory and normal mode analysis have been used to study the problem under consideration. It is observed that, for stationary convection, suspended particles, compressibility and medium permeability have destabilizing/stabilizing effects under certain conditions. The variable gravity parameter destabilizes the system whereas stable solute gradients have a stabilizing effect.
Rocznik
Strony
1--11
Opis fizyczny
Bibliogr. 28 poz., wykr.
Twórcy
  • Department of Mathematics, Jaypee Institute of Information Technology A-10, Sector-62, Noida (UP), INDIA
autor
  • Department of Mathematics, K.I.E.T Group of Institutions Ghaziabad (UP), INDIA
Bibliografia
  • [1] Bejan A. (1984): Convection Heat Transfer. – New York: Wiley Publications.
  • [2] Veronis G. (1965): On finite amplitude instability in thermohaline convection. – J. Marine Res., vol.23, pp.1-7.
  • [3] Nield D.A. (1967): The thermohaline Rayleigh-Jeffreys problem. – J. Fluid Mechanics, vol.29, pp.545.
  • [4] Aggarwal A.K. and Dixit D. (2018): Effect of suspended particles on thermosolutal convection of Rivlin-Ericksen fluid in porous medium with variable gravity. – Int. J. Appl. Mech. Engg., vol.23, pp.813-820.
  • [5] Aggarwal A.K. and Verma A. (2014): The effect of compressibility, rotation and magnetic field on thermal stability of Walters’ fluid permeated with suspended particles in porous medium. – Thermal Science., vol.18, pp.539-550.
  • [6] Aggarwal A.K. and Makhija S. (2011): Combined effect of magnetic field and rotation on thermal stability of couple-stress fluid heated from below in presence of suspended particles. – Int. J. Appl. Mech. Engg., vol.16, pp.931-942.
  • [6] Aggarwal A.K. and Verma A. (2010): Effect of rotation and magnetic field on thermal instability of a viscoelastic fluid permeated with suspended particles. – WSEAS Transactions on Mathematics., vol.9, pp.593-602.
  • [8] Aggarwal A.K. and Verma A. (2012): Effect of suspended particles, magnetic field and rotation on the thermal stability of a ferromagnetic fluid. – Int. J. Appl. Mech. Engg., vol.17, pp.1109-1122.
  • [9] Aggarwal A.K. (2010): Effect of rotation on thermosolutal convection in a Rivlin-Ericksen fluid permeated with suspended particles in porous medium. – Advances in Theoretical and Applied Mechanics, vol.3, pp.177-188.
  • [10] Aggarwal A.K. and Makhija S. (2014): Hall effect on thermal stability of ferromagnetic fluid in porous medium In the presence of horizontal magnetic field. – Thermal Science., vol.18, pp.503-514.
  • [11] Aggarwal A.K. and Makhija S. (2012): Hall effect on thermal stability of ferromagnetic fluid in the presence of suspended particles. – Int. J. Appl. Mech. Engg., vol.17, pp.349-365.
  • [12] Aggarwal A.K. and Verma A. (2016): Effect of hall currents on thermal instability of dusty couple stress fluid. – Archives of Thermodynamics, vol.37, pp.3-18.
  • [13] Aggarwal S. and Rana P. (2016): Periodic and a periodic convective stability analysis of double diffusive nanofluid convection in a rotating porous layer. – Applied Mathematics and Mechanics, vol.37, pp.215-226.
  • [14] Aggarwal A.K. and Verma A. (2017): Effect of Hall currents on double diffusive convection of compressible Rivlin-Ericksen fluid permeated with suspended particles in porous medium. – In: Proc. 2nd International conference on Recent Advances in Mathematical Sciences and its Applications 2017, Noida, India, vol.1802, pp.020001-1-020001-9.
  • [15] Aggarwal A.K. and Dixit D. (2017): Thermosolutal instability of Rivlin-Ericksen fluid under the effect of suspended particles and compressibility in porous medium. – In: Proc. 2nd International Conference on Recent Advances in Mathematical Sciences and its Applications 2017, Noida, India, vol.1897, pp.020010-1–020010-7.
  • [16] Gupta U. and Aggarwal P. (2011): Thermal instability of compressible Walter’s fluid in the presence of hall currents and suspended particles. – Thermal Science, vol.15, pp.487-500.
  • [17] Kumar P. and Mohan H. (2012): Thermal instability of a heterogeneous Oldroydian viscoelastic fluid heated from below in porous medium. – Journal of Theoretical and Applied Mechanics, vol.50, pp.943-951.
  • [18] Sharma R.C. and Rani N. (1987): Effect of suspended particles on thermosolutal convection in porous medium. – Indian J. Pure Appl. Math., vol.18, pp.178-185.
  • [19] Sharma R.C. and Aggarwal A.K. (2006): Effect of compressibility and suspended particles on thermal convection in a Walters’ B elastico-viscous fluid in hydromagnetics. – Int. J. Appl. Mech. Engg., vol.11, pp.391-399.
  • [20] Stern M.E. (1960): The ‘salt-fountain’ and thermohaline convection. – Tellus., vol.12, pp.172.
  • [21] Sharma R.C and Chand S. (2000): Thermosolutal convection in Walters’ (model B) fluid in porous medium in hydromagnetic. – Studia Geotechnica et Mechanica, vol.13, pp.3-4.
  • [22] Landu L.D. (1944): Dokl. Akad. Nauk. – SSSR, vol.44, pp.139.
  • [23] Lees L. (1947): The stability of the laminar boundary layer in a compressible fluid. – N.A.C.A. Tech. Rept. No.876.
  • [24] Dunn D.W and Lin C.C. (1955): On the stability of the laminar boundary layer in a compressible fluid. – J. Aero. Sci., vol.22, pp. 455-477.
  • [25] Straughan. B.D. and Walker W. (1997): Multi component diffusion and penetrative convection. –Fluid Dynamice Research, vol.19, pp.77–89.
  • [26] Pearlstein A.J., Harris R.M. and Terrones G. (1989): The onset of convective instability in triply diffusive fluid layer. – J. Fluid Mech., vol.202, pp.443-465.
  • [27] Rionero S. (2013): Triple diffusive convection in porous media. – Acta Mech., vol.224, pp.447-458.
  • [28] Kango S.K. and Rana G.C. (2013): Triple-diffusive convection in Walters’ (model B') fluid with varying gravity field saturating fluid with varying gravity field saturating a porous medium. – Studia Geotechnica et Mechanica, vol.35, pp.45-56.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
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