Influences of slip and Cu-blood nanofluid in a physiological study of cilia

Highlights • Exact solution is calculated for the temperature and for the velocity profile. • Temperature profile decreases when we add nanoparticles in our base fluid basically, higher thermal conductivity of the nano particle plays a key role for the quick dissipation this justifies that the use of copper nanoparticle in different type as coolant. • Temperature profile increases with an increase in thermal slip parameter γ and heat absorption parameter. • Velocity profile in the center of the channel increases when we add nanoparticles in our base fluid. • Pressure rise shows increasing behavior for the increasing values of Grashof number due to the dominant effects of Buoyancy forces.