Abstract
The impacts of surface wavy roughness on the viscous fluid flow inside microchannel through corrugated walls is examined. The Navier–Stokes equations are simplified by utilizing perturbation technique with incorporated microscopic slip conditions at the wavy wall. The present investigation depends on the assumptions that the corrugations are periodic sinusoidal waves of small amplitude. The considered examination involves the effect electromagnetohydrodynamic on the characteristics of the nanofluid through the corrugated walls under the impact of nanoparticle by considering an appropriate mathematical model. The governing equations are understood by applying the strategy of perturbation, we have assessed analytical solutions for the velocity, temperature and volume flow rate. Examination is introduced by considering water as the base fluid and copper as the nanoparticles in the presence of convective boundary condition. Effect of related parameters on velocity, temperature and Nusselt number are interpreted graphically.
•Velocity and temperature profiles depend upon the shape of the channel.•Inner half of channel velocity profile decline and rise in outer half of channel for Knudsen number.•Wave phenomenon becomes obvious with increases the corrugation.