Unsteady mixed convective flow of Casson nanofluid in a vertical porous plate with slip and temperature jump condition

Abstract

• Model developed for unsteady Casson nanofluid flow in a vertical porous plate with temperature jump. • Brownian motion and thermophoresis effect on the heat and mass transfer flow. • Parameters that can enhance the thermal conductivity of nanofluid must be considered for efficient flow. • The results from this study can be useful to manufacturers, scientists and biomedical engineers. Due to the need to increase output, there is a growing demand to optimize industrial-based fluids' thermal conductivity and proficiency. As a result, viscous non-Newtonian fluids carrying nanoparticles may be used as a material to satisfy engineering and industrial demands for increased productivity. This may apply to electronic devices, technological devices, biomedical sciences, and other fields. Therefore, this work examined the mixed convective unsteady flow of Casson nanofluid in a vertical permeable plate with slip and temperature jump boundary conditions. The shooting approach and fourth-order Runge–Kutta method were utilized to solve the dimensionless formulated model. Examined are the effects of the ingrained relevant dynamical terms on the flow characteristics, and graphs and tabular presentations of the calculated outcomes are used to elucidate the findings. The study's findings showed that the diffusion of small particles into a fluid boosted thermal conductivity. In addition, the flow rate decreased as the Hartmann number and material term increased. This research study has applications in manufacturing, engineering, and other fields of science and technology.