Electroosmosis modulated peristaltic rheological flow through a non-uniform channel with slip effects

Purpose Although electroosmotic modulated peristaltic flow has been extensively investigated, the influence of slip conditions in non-uniform microchannels remains unexplored. This study aims to uniquely examine the combined effects of electroosmotic modulation and slip conditions, providing valuable insights for optimizing microfluidic devices, especially in biomedical and drug delivery applications. Design/methodology/approach The governing equations for electroosmotic modulated peristaltic flow with slip conditions in non-uniform microchannels are derived and solved analytically. The Poisson–Boltzmann equation is linearized using the Debye–Hückel approximation. A comprehensive analysis is conducted using varying parameters such as slip velocity, electroosmotic strength and channel geometry. Findings In non-uniform microchannels, the combined impacts of electroosmotic modulation and slip conditions result in notable modifications to the pressure rise, velocity distribution and trapping phenomena. The results demonstrate that the pressure gradient decreases as the slip parameter increases but rises with an increase in the diverging angle. These alterations enhance fluid transport dynamics and improve the efficiency of microfluidic devices. Practical implications This study provides valuable insights into the combined effects of electroosmotic modulation and slip conditions on peristaltic flow. These findings are essential for optimizing microfluidic devices used in biomedical engineering, diagnostics and controlled drug delivery systems. Originality/value This work uniquely examines the previously unstudied joint effects of electroosmotic modulation and slip conditions on peristaltic flow through a non-uniform channel. It provides new insights into flow dynamics and advances microfluidic technologies.