Abstract
In this framework, the characteristics of Williamson fluid flow generated by an expanding/contracting inclined cylinder in the attendance of nanoparticle and magnetic field has been analyzed. The novelty of this research is to study the physical impacts of thermal and solutal stratification on mixed convection flow along with heat transfer by incorporating thermal radiation. The basic equations in dimensional form are derived for the flow and transport phenomena of Williamson nanofluids incorporating the effects of Brownian diffusion and thermophoresis. The coupled non-linear reduced expressions governing the flow fields are numerically solved with the help of Runge-Kutta integration scheme. The main view of current analysis is to explore the physical impacts of involved pertinent parameters, like, Weissenberg number, mixed convection parameter, buoyancy ratio parameter, thermal and solutal stratified parameters, Brownian motion and thermophoresis parameter and Schmidt number on dimensionless velocity, temperature and nanoparticles concentration distributions. The results highlight that, the increasing values of the Weissenberg number tends to decrease the velocity distribution. Additionally, an increment in Schmidt number reduces the concentration profiles as well as the rate of mass transfer. A significant reduction in dimensionless temperature and nanoparticles concentration distributions by uplifting the thermal stratification parameter is also observed.
•Doubly stratified unsteady flow of an electrical conducting Williamson nanofluid is investigated.•Flow is examined due to an expanding or contracting cylinder with Buongiorno's two phase model.•We study the thermal radiation and mixed convection effects over the flow and heat transfer.•Mass transfer rate decreases with an increase in Brownian motion parameter.•The Runge-Kutta Fehlberg method is employed to solving the nonlinear differential equations.