Triple diffusive convection with Soret–Dufour effects in a Maxwell nanofluid saturated in a Darcy porous medium

摘要

Soret–Dufour phenomenon in a Darcy–Maxwell Brownian nanofluid is performed using a macroscopic filtration model,suggested by Alishayev (Hydromechanics 3:166–174, 1974). For nanoparticle flux at the boundaries passive management,influenced by the management of concentration flux assumed in Stefan’s flow, is considered. Normal mode techniqueis used to analyse the stationary and oscillatory convections under the linear stability theory. The effects of differentphenomenon are quantified by dimensionless parameters. It is found that the Soret parameter has dual behaviour forstationary convection and destabilizing behaviour for oscillatory convection, whereas the Dufour parameter has a stabilizingeffect for both stationary and oscillatory convections. Nonlinear stability analysis provides the behaviour of flux ofheat, salt and nanoparticles in the flow field through Nu , Nu_C and Nu_Φ . Steady and unsteady convections are discussed. Agraphical representation of streamlines, isotherms, isohalines and flow lines of nanoparticles concentrations is presented.