Soret Driven Convective Instability in Chemically Reactive Binary
Nanofluids in the presence of Silver Nanoparticles
Abstract
The onset of convective instability driven by thermodiffusion of
nanoparticles and solute in reactive binary nanofluids is investigated
theoretically using linear stability theory and addition factor
analysis. A horizontal layer of reactive binary nanofluid at constant
and different temperatures and concentrations is taken and the problem
is modeled by the system of highly nonlinear partial differential
equations. The stability equations are formulated and the expression for
Rayleigh number is derived for stationary and oscillatory convections.
The effect of nondimentional parameters namely chemical reaction
parameter, volume fraction of nanoparticles, Soret coefficients, Prandtl
number, heat of reaction parameter and addition factor on stability of
the system is shown graphically. The water/ammonia based silver binary
nanofluid is considered and the impact of nanoparticles on the stability
is studied by employing the Brinkman model for viscosity and Bruggeman
model for thermal conductivity. The enhancement of heat transport is
analysed by calculating ratio of heat transfer coefficients.