Jeffrey-Hamel flow with heat and mass transfer characteristics of Jeffrey Nanofluid in a diverging-Converging Channel

The flow with heat and mass transfer features of viscoelastic fluid in narrow diverging-converging channels have significant applications in polymer processing in convergent dies, and microfluidic devices like nozzles and Jet designs. The objective of this research is to examine the magnetohydrodynamics (MHD) Jeffrey-Hamel flow (JHF) with heat and mass transfer characteristics using well-known Buongiorno model and thermal radiation. The velocity slip, MHD, viscous dissipation, thermophoresis, Brownian motion, and thermal radiation are all included in the governing equations. The resulting coupled nonlinear boundary value problem is solved numerically using the Bvp4c method. The findings shows that the wall slip uplift velocity in convergent channel because of favorable pressure gradient which decreases the skin friction. The influence of relaxation to retardation time due to stress tensor of viscoelastic Jeffrey fluid shows conflicting behavior in both channel. The temperature profile is more sensitive to radiation, fluid parameter, Brownian, thermophoresis and viscous dissipation in divergent channel. The concentration of nanoparticles decreases with increasing Deborah number. The divergent channel exhibit higher Nusselt and Sherwood number than convergent section. The findings of this study are crucial for improving viscoelastic fluid flow in industrial systems where heat and mass transfer occur in a narrow geometries.