Silver nanoparticle assisted transport phenomena in Casson nanofluids subjected to slip and porous resistance

Abstract The objective of the present study is to investigate the electroosmotic flow of Casson fluid through a porous channel under slip-dependent boundary conditions, with emphasis on velocity and thermal characteristics. The flow is further influenced by the presence of a magnetic field, thermal radiation, and constant transport properties. The model incorporates silver nanoparticles uniformly dispersed in the Casson fluid, representing a blood-based nanofluid system. The governing equations are transformed into dimensionless nonlinear ordinary differential equations (ODEs) using appropriate dimensionless parameters and the electric potential distribution function. The resulting boundary value problem is solved numerically using Runge-Kutta-Fehlberg method to obtain the numerical solution. Graphical results are presented for velocity and temperature profiles over a suitable range of governing dimensionless parameters. The effects of the governing parameters on the velocity and temperature profiles of the electroosmotic flow are discussed graphically. The results indicate that the Casson fluid parameter, velocity slip, and porous medium strength enhance the velocity distribution. In contrast, increasing the Debye length, electroosmotic parameter, nanoparticle concentration, Hartmann number, and pressure gradient leads to a reduction in the velocity profile. The temperature field is significantly enhanced by Joule heating effects and the Casson fluid parameter. However, strong magnetic fields, thermal radiation, velocity slip, nanoparticle concentration, and pressure gradient tend to suppress the thermal distribution. The combined influence of porous media, slip velocity, and nanoparticle dispersion improves flow modulation and heat dissipation in electroosmotic filtration systems, enhancing separation efficiency in chemical and industrial processing.