Thermal and Hemodynamic Analysis of Blood Flow in a Catheterized Inclined Artery Under Body Acceleration With Slip and Viscous Dissipation: Applications of Modified Fourier's Law and Cattaneo-Christov Heat Flux

This study develops a novel mathematical model to examine blood flow dynamics in a catheterized, inclined artery with overlapping stenoses, accounting for mild stenotic conditions. The analysis incorporates the combined influences of body acceleration, slip velocity, and viscous dissipation, while heat transfer is modeled via the Cattaneo-Christov framework to capture non-Fourier thermal effects. The coupled momentum and energy equations are solved analytically using a perturbation approach, yielding the expressions for wall shear stress, flow rate, velocity, and impedance. Parametric analysis reveals that higher body acceleration, slip velocity, and arterial inclination enhance both velocity and flow rate, whereas larger catheter radii reduce velocity. Wall shear stress intensifies in converging arterial segments due to elevated forces on the vessel wall. These results provide valuable insights into the coupled hemodynamic-thermal behavior of catheterized stenotic arteries, supporting improved clinical strategies for managing pathological arterial conditions and optimizing interventional procedures.