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International Journal of Applied Mechanics and Engineering

The Journal of University of Zielona Góra

Editor-in-Chief: Walicki, Edward

4 Issues per year

CiteScore 2016: 0.12

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On thermosolutal convection in presence of compressible fluid with fine dust

M. Singh
  • Corresponding author
  • Department of Mathematics Govt Post Graduate College, Seema-Rohru Himachal Pradesh University Summer-Hill Shimla-171207, INDIA
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/ R.K. Gupta
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  • Department of Mathematics Lovely School of Engineering and Technology Lovely Professional University Phagwara, INDIA
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Published Online: 2014-03-07 | DOI: https://doi.org/10.2478/ijame-2014-0010


A layer of a Rivlin-Ericksen elastico-viscous fluid heated and soluted from below in the presence of compressibility and suspended particles (fine dust) effect is considered. For stationary convection, the Rivlin- Ericksen, elastico-viscous fluid behaves like a Newtonian fluid. The oscillatory modes are introduced due to the presence of a stable solute gradient, suspended particles destabilize the system whereas the stable solute gradient has a stabilizing effect on the system and the effect of compressibility is to postpone the onset of thermosolutal convection. The stable solute gradient and compressibility postpone the onset of convection, whereas the suspended particles hasten the onset of convection. The stable solute gradient introduces oscillatory modes in the systems which were non-existent in its absence

Keyword: Rivlin-Ericksen elastico-viscous fluids; compressible and fine dust


  • Chandra K. (1938): Instability of fluids heated from below. - Proc. Roy. Soc., London, vol.164A, pp.231.Google Scholar

  • Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.Google Scholar

  • Kumar P. (2000): Stability of superposed viscous-viscoelastic (Rivlin-Ericksen) fluids in the presence of suspended particles through a porous medium. - Z. Angew. Math. Phys., vol.51, pp.912-921.Google Scholar

  • Kumar P., Lal R. and Singh M. (2007): Hydrodynamic and hydromagnetic stability of two stratified Rivlin-Ericksen elastico-viscous superposed fluids. - Int. J. of Applied Mechanics and Engineering, vol.12, No.3, pp.645-653.Google Scholar

  • Kumar P., HariMohan and Lal R. (2006): Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen visco-elastic fluid. - International Journal of Mathematics and Mathematical Sciences (USA), ID 28042, pp.1-10.Google Scholar

  • Kumar P. and Singh G.J. (2010): On the stability of superposed viscous-viscoelastic fluids through porous medium. - AAM (USA), vol.5(1), pp.110-119.Google Scholar

  • Palaniswami V.I. and Purushotham C.M. (1981): Stability of shear flow of stratified fluids with fine dust. - Physics Fluids, vol.24, pp.1224-1228.Google Scholar

  • Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Benard convection. - Physics Fluids, vol.16, pp.1573-1578.Google Scholar

  • Sharma R.C. and Rani N. (1989): Double-diffusive convection with fine dust. - Czechoslovak J. of Physics, vol.B39, pp.710.Google Scholar

  • Sharma V., Sunil and Gupta U. (2006): Stability of stratified elastico-viscous Walter’s (B’) fluid in the presence of horizontal magnetic field and rotation in porous medium. - Arch. Mech. Warszawa, vol.58, No.1, pp.187-197Google Scholar

  • Sharma R.C., Kumar P. and Sharma S. (2001): Rayleigh-Taylor instability of Rivlin-Ericksen elastico-viscous fluid through porous medium. - Indian J. Phys, 75B (4), pp.337-340.Google Scholar

  • Singh M. and Gupta R. (2011): Thermal instability of Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in hydrodynamics in a porous medium. - Int. J. of Applied Mechanics and Engineering, vol.16, No.4, pp.1169-1179.Google Scholar

  • Spiegel E.A. and Veronis G. (1960): On the Boussinesq approximation for a compressible fluid. - Astrophys J., vol.131, pp.442. Google Scholar

About the article

Published Online: 2014-03-07

Published in Print: 2014-02-01

Citation Information: International Journal of Applied Mechanics and Engineering, Volume 19, Issue 1, Pages 133–143, ISSN (Print) 1734-4492, DOI: https://doi.org/10.2478/ijame-2014-0010.

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