Abstract
The thermosolutal instability problem in a horizontal layer of an elasticoviscous nanofluid in porous medium is considered. Walters' (model B') fluid model is employed to describe the rheological behavior of the nanofluid and for the porous medium, the Darcy model is employed. From the linear stability analysis based upon normal modes analysis method, the dispersion relation accounting for the effect of various parameters is derived. The onset criterion for stationary convection is analytically derived and it is observed that the Walters' (model B') elastico-viscous nanofluid fluid behaves like an ordinary Newtonian nanofluid. The effects of solutal Rayleigh Number, thermo-nanofluid Lewis number, thermosolutal Lewis number, Soret and Dufour parameter on the stability of stationary convection are investigated.
Highlights
The thermosolutal instability is an important phenomenon that has applications to many different areas such as geophysics, soil sciences, food processing, oil reservoir modeling, oceanography, limnology and engineering, among others
Our main aim is to study the thermosolutal instability problem in a horizontal layer of an elastico-viscous nanofluid and Walters’ (Model B') fluid model is used to describe the rheological behavior of nanofluid
Equation (36) is the required dispersion relation accounting for the effect of thermo-solutal Lewis number, thermo-nanofluid Lewis number, kinematic visco-elasticity parameter, solutal Rayleigh Number, nanoparticle Rayleigh number, modified diffusivity ratio, Soret and Dufour parameter on thermosolutal instability in a layer of Walters’ elasticoviscous nanofluid saturating a porous medium
Summary
The thermosolutal instability is an important phenomenon that has applications to many different areas such as geophysics, soil sciences, food processing, oil reservoir modeling, oceanography, limnology and engineering, among others. Alloui et al [8] performed an analytical and numerical study of a natural convection problem in a shallow cavity filled with a nanofluid and heated from below These authors reported that the presence of nanoparticles in a fluid reduced the strength of flow field, being these reductions especially relevant at low values of the Rayleigh number. FME Transactions (2014) 42, 1-9 the theoretical model of Oldroyd [17], it is widely known that there are many elastico-viscous fluids that cannot be characterized by Maxwell's constitutive relations or by Oldroyd's constitutive relations One such type of fluids is Walters’ (model B') elasticoviscous fluid having relevance in chemical technology and industry. Our main aim is to study the thermosolutal instability problem in a horizontal layer of an elastico-viscous nanofluid and Walters’ (Model B') fluid model is used to describe the rheological behavior of nanofluid
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