Numerical study on stability of magnetohydrodynamic nanofluid flow through channel

Abstract

The stability of steady two-dimensional laminar magnetohydrodynamic flow of viscous incompressible nanofluid through channel has been studied numerically. The basic governing equations in vector form for the flow and thermal field are expressed case by case. The extended governing equations with related boundary conditions are reduced to dimensionless form using appropriate transformations. The resultant nonlinear ordinary differential equations are then solved numerically employing power series with Hermite- Padé approximation scheme. The effect of temperature dependent thermal conductivity on magnetohydrodynamic radiative flow of Cu-water nanofluid considering viscous dissipation through a vertical parallel channel has been analysed numerically. A stability analysis has been performed for the local rate of heat transfer which specifies the dual solution branch due to thermal conductivity criticality. The influences of the pertinent flow parameters on velocity and temperature profiles are represented graphically. The irreversibility of the system is also displayed in the form of entropy generation rates and Bejan profiles with the effects of flow parameters. A special case study is performed for the pure base water in absence of nanoparticles where the left wall of the channel is taken sliding with a uniform velocity. The entropy generation on magnetohydrodynamic radiative variable thermal conductivity flow of optically thin viscous water-based three different nanofluids through a vertical porous channel is studied. The effect of porosity parameter together with other physical parameters on velocity and temperature distributions, thermal stability conditions and entropy generation of the system are discussed extensively both numerically and graphically. The effects of Cu-water nanofluid on the entropy generation of the nonlinear magnetohydrodynamic Jeffery-Hamel flow through divergent channel are analysed. The dominating singularity behaviour of the problem is analysed numerically and graphically. The velocity profiles, temperature distributions and entropy generation rates with Bejan profiles are presented in divergent channel for various values of channel angle, flow Reynolds number along with other flow parameters.