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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.376 SNIP: 0.466 CiteScore™: 0.83

ISSN Druckformat: 2151-4798
ISSN Online: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v6.i3.70
pages 297-311

HYDRODYNAMIC AND HYDROMAGNETIC TRIPLY DIFFUSIVE CONVECTION IN A VISCOELASTIC FLUID THROUGH POROUS MEDIUM

Vivek Kumar
Shri Guru Ram Rai (P.G.) College, Dehradun-248001, Uttarakhand, India
Pardeep Kumar
Department of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla-171005, India
Mukesh Awasthi
Babasaheb Bhimrao Ambedkar University, Lucknow

ABSTRAKT

The triply diffusive convection in an Oldroydian viscoelastic fluid is mathematically investigated in the absence and presence of magnetic field through porous medium. Using linearized stability theory and normal mode analysis, the dispersion relation is obtained in each case. In the hydrodynamic case, the stable solute gradients are found to have stabilizing effects, whereas medium permeability has a destabilizing effect on the system for stationary convection. For the hydromagnetic case, the magnetic field and stable solute gradients are found to have stabilizing effects, whereas medium permeability has a destabilizing effect for stationary convection. Graphs have been plotted by giving numerical values of the parameters to depict the stability characteristics. Further, solute gradients and magnetic field are found to introduce oscillatory modes, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained in each case.


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