Blood Flow in Multi-Sinusoidal Curved Passages with Biomimetic Rheology: An Application of Blood Pumping

The unsteady flow of biological liquid through non-uniform pumps under porosity impacts is considered. Jeffrey fluid used as blood in the current study, which also characterized viscoelastic because its dual characteristics: on one hand, viscosity nature; other elastic effect. Rheological equations are framed a curvilinear coordinates system, and influences simulated with body force term momentum equations. system has been transformed from fixed to wave frame using linear–mathematical transformation between these two frames. In next mathematical steps, given non-dimensional form physical variables. PDE reduced an ODE lubrication theory long wavelength approximation. Solutions ordinary differential obtained numerically MATLAB software via BVP4C scheme. involved parameters features, such curvature, (Darcy’s number), non-uniformity, parameters, have visualized graphically. Multi-sinusoidal waves boundary wall curved pump for peristaltic pumping. magnitude velocity profile saw-tooth (trapezoidal wave) larger (smaller) than all natures waves. intensity Darcy’s number dynamic role reduction pumping, whereas opposite behavior noticed when increasing nature channel. A comparison multi-sinusoidal addressed. results present research shall be very productive manufacture drug delivery bio-medical systems.