A novel mathematical model for the effects of wall properties on pumping flow of a biofluid in a symmetrical three-dimensional curved duct

Most pumping actions entail a physical volume change of the duct, which is frequently achieved by having compliant wall or membrane. To best our knowledge, current study first report on mathematical model developed to analyze peristaltic transport Newtonian fluid in curved duct with rectangular face and walls. Such geometries are most commonly used clinical biological equipment, where walls need be flexible. Flexible ducts more useful than rigid ones because they do not require any extra modifications accessories. Here, we have conditions lubrication theory construct an accurate model, common perturbation technique was incorporated handle Navier-Stokes equations emphasis various aspect ratios curvatures. A system curvilinear coordinates operating according principles cylindrical employed represent problem. No-slip boundary limitations were considered at along constraint showing damping force stiffness. Comprehensive graphical representations made illustrate effects all emerging factors both two- three-dimensional formats. We found that large curvatures flexure rigidity decreased velocity uniformly, but ratio amplitude parameters could promote velocity. Validation results performed through generation residual error curve. The readings taken again straight make comparison existing literature.