The study examines peristaltically driven flow in a catheterized tube based on a two-layer fluid model comprising a particle-laden core and a particle-free peripheral layer. The propagation of finite-amplitude sinusoidal waves along the tube wall induces fluid transport, which closely represents the physiological characteristics of blood flow. The problem is formulated under the assumptions of axisymmetric flow and the long-wavelength approximation, with the catheter forming an inner boundary that creates an annular flow region. Sinusoidal peristaltic waves of finite amplitude propagate along the tube wall, driving fluid transport, which is closely related to blood movement in arteries and peristaltic transport in the gastrointestinal system. Closed-form expressions for the pressure drop, volumetric flow rate, and frictional forces at both the tube wall and catheter surface are obtained. The pressure drop increases with both the flow rate and the particle concentration within the core region for any given set of parameters. Frictional forces at the tube and catheter surfaces vary in a manner consistent with the pressure drop across all governing parameters. Nevertheless, the magnitude of friction at the catheter surface remains significantly lower than that at the tube wall.
Srivastav et al. (Thu,) studied this question.