<p>The peristaltic flow of hybrid nanofluids in the annular region of eccentric cylinders has emerged as a significant research area with applications in biomedical devices, industrial thermal management, and advanced fluidic technologies. This study explores the mixed convective flow of a hybrid nanofluid within an eccentric annular geometry, driven by peristaltic motion. Water serves as the base fluid, with its thermal conductivity enhanced by single-walled and multi-walled carbon nanotubes (SWCNTs and MWCNTs), modeled using the Xue and Yamada-Ota formulations. A key contribution of this work is its theoretical framework, offering valuable insights into conductive biological fluid dynamics, particularly for applications such as drug delivery in endoscopic procedures. The system consists of a sinusoidal wave propagating along the inner cylinder wall, while the outer cylinder remains flexible and moves at a steady velocity. Employing lubrication theory, the governing equations are simplified, allowing an analytical investigation of temperature, pressure gradient, and velocity using a perturbation approach. The results indicate that an increased volume flow rate amplifies the pressure gradient, while higher thermal radiation reduces the fluid temperature. Additionally, comparisons reveal that the Yamada–Ota model exhibits superior predictive accuracy and analytical robustness compared to the Xue model. These findings highlight the intricate interplay between heat transfer, flow dynamics, and peristaltic transport in eccentric annular geometries, contributing to the advancement of hybrid nanofluid applications in biomedical and industrial fields.</p>