Abstract
In this column, the stability of a non-Newtonian nanofluid (Al2O3-EG) layer subjected to chemical reaction, rotation and magneto-convection is investigated. Buongiorno's two-phase partial differential equations (PDEs) based model with two dominant slip mechanisms, is used to perform linear and non-linear stability analyses. The boundary conditions used for linear theory are rigid-rigid and rigid-free while free-free boundaries are used to explore the non-linear case. In linear theory, both Galerkin weighted residual technique and boundary value solver are used to solve normal mode equations and neutral curves have been compared. Using weakly non-linear theory, non-linear partial differential equations are converted into system of first order differential equations by minimal truncated Fourier series which is further solved with Runge Kutta Dormand–Prince method. The results depicting the effect of thermal Nusselt number and nanoparticle Nusselt number are strategized for both steady and unsteady case. Results indicate that four controlling parameters () delay the convective motion in nanofluid layer while concentration Rayleigh Number () accelerates it. The behavior of streamlines, iso-therms and iso-nanohalines shift from conduction to convection mode for large Rayleigh number and time t.
Published Version
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