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Effect of suspended particles on thermosolutal convection of Rivlin-Ericksen fluid in porous medium with variable gravity

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The thermosolutal stability of a layer of the Rivlin-Ericksen fluid in a porous medium is considered under varying gravity conditions. It is found that for stationary convection, medium permeability and suspended particles have a destabilizing/stabilizing effect when gravity increases/decreases. The stable solute gradient has a stabilizing effect on the system.
Rocznik
Strony
813--820
Opis fizyczny
Bibliogr. 25 poz., rys., wykr.
Twórcy
  • Department of Mathematics, Jaypee University 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] Helmholtz H. (1868): Uber discontinuirliche Flussigkeitsbewegungen. – Phil. Mag. Ser. 4, 36, pp.337.
  • [2] Rayleigh Lord (1880): On the stability or instability of certain fluid motions. – Proc. London Math. Soc, vol.11, pp.57-70.
  • [3] Stern M.E. (1960): The ‘salt-fountain’ and thermohaline convection. – Tellus 12, pp.172.
  • [4] Veronis G. (1965): On finite amplitude instability inthermohaline convection. – J. Marine Res., vol.23, pp.1-7.
  • [5] Nield D.A. (1967): The thermohaline Rayleigh-Jeffreys problem. – J. Fluid Mechanics., vol.29, pp.545.
  • [6] Bejan A. (1984): Convection Heat Transfer. – New York: Wiley Publications.
  • [7] Benard H. (1900): Les tourbillons cellulaires dans une nappe liquide. – Revue Generale des Sciences Pures et Appliqués, vol.11, pp.1261-1271 and pp.1309-1328.
  • [8] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. – New York: Dover Publications.
  • [9] Rumford C. (1870): Of the propagation of heat in fluids, the complete works of count Rumford. – Vol.1, pp.237- 400. American Academy of Arts and Sciences. Boston.
  • [10] Thompson J. (1882): On a changing tessellated structure in certain liquids. – Proc. Phill. Soc. Glasgow, vol.13, pp.464-468.
  • [11] Ostrach S. (1957): Convection phenomenon in fluids heated from below. – Trans. ASME., vol.79, pp.299-305.
  • [12] Pradhan G.K. and Samal P.C. (1987): Thermal instability of fluid layer under variable body forces. – J. Math. Anal. Appl., vol.122, pp.487-495.
  • [13] Rana G.C. (2013): Thermosolutal convection in Walters’ (Model B’) rotating fluid permeated with suspended particles and variable gravity field in porous medium in hydromagnetics. – Journal of Applied Fluid Mechanics, vol.06, pp.87-94.
  • [14] Aggarwal A.K. and Prakash K. (2007): Thermosolutal Instability of an elastico-viscous fluid in porous medium in presence of suspended particles. – Proceedings of the Indo-Australian Workshop and Symposium on CFD Approach on Fluid Flow, Heat and Mass Transfer and Applications in Multidisciplinary Areas, Research Publishing Services, ISBN:978-81-904262-6-8, pp.1-6.
  • [15] 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.
  • [16] Aggarwal A.K. and Verma A. (2008): Thermal instability of a rotating viscoelastic fluid permeated with suspended particles in hydromagnetics. – Continuum Mechanics, pp.302-306.
  • [17] 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. – International Journal of Applied Mechanics and Engineering, vol.16, pp.931-942.
  • [18] 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.
  • [19] Aggarwal A.K. and Verma A. (2012): Effect of suspended particles, magnetic field and rotation on the thermal stability of a ferromagnetic fluid. – International Journal of Applied Mechanics and Engineering, vol.17, pp.1109- 1122.
  • [20] 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.
  • [21] Aggarwal A.K. and Makhija S. (2012): Hall effect on thermal stability of ferromagnetic fluid in the presence of suspended particles. – International Journal of Applied Mechanics and Engineering, vol.17, pp.349-365.
  • [22] 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.
  • [23] Agarwal 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, Springer, vol.37, pp.215-226.
  • [24] 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.
  • [25] 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.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-be452c99-ab29-4a59-9bf0-05b2d4bcdcf8
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