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.
