Biomimetic propulsion of viscoelastic nanoparticles in a curved pump with curvature and slip effects: blood control bio-medical applications

The current investigation addresses the rheology of viscoelastic nanofluid through a curved pump with heat transfer impacts. The transportation of fluid particles is associated with the biomimetic propulsion present at the upper boundary wall of a curved pump. The mathematical expression of the Jeffrey fluid model is used as a viscoelastic fluid in the present analysis. Curvilinear coordinates are used in the present study to obtain the rheological equations. A mathematical formulation is developed to observe the effect of curvature and ratio of relaxation to retardation time parameters on bio-rheological features in a wave frame. Biological approximations are used to transform the rheological equations from the partial differential to ordinary differential equations. Numerical solutions for velocity profile, pressure gradient, peristaltic pumping, streamlines, and stream function are worked out via the BVP4C technique. The analytical solution for the heat equation is modeled with the integration technique by using the MATHEMATICA software. The wavy scheme of a sinusoidal wave is used in the upper wall to boost the proficiency of the pump. The dynamic effects of the slip parameter on the rheological features are also perceived.