Oscillatory flow and solute transport in an elastic tube under the influence of suction/injection

The present work explores the dynamics of solute transport and oscillatory fluid flow in an elastic tube of varying cross-section, subject to suction/injection at the boundary. The nonlinear equations governing the fluid flow are solved analytically using a perturbation method, while the convection-diffusion equation describing solute dispersion is numerically analyzed with the finite difference method. The effects of the elasticity parameter, suction/injection parameter, Womersley number, and Péclet number on the velocity components and the solute dispersion profiles are analyzed and illustrated graphically. Results reveal that injection enhances flow dynamics more strongly in convergent tube, while suction has a milder effect in divergent tubes. Elasticity improves solute distribution in convergent tubes and alters it in divergent tubes. Suction increases concentration in convergent tubes and reduces it in the case of divergent tubes. These results offer critical insights into the complex interplay of fluid transport, solute dispersion, and geometrical variations in elastic conduits, with broad implications for physiological and industrial applications.