Solution of Water and Sodium Alginate-Based Casson Type Hybrid Nanofluid with Slip and Sinusoidal Heat Conditions: A Prabhakar Fractional Derivative Approach

This paper aims to investigate free convection heat transmission in hybrid nanofluids across an inclined pours plate, which characterizes asymmetrical nanofluid flow and transfer behavior. With angled magnetic field applied, sliding on the border of walls is also considered with sinusoidal boundary conditions. The non-dimensional leading equations are converted into a fractional model using effective mathematical approach known as Prabhakar time derivative. Silver (Ag) titanium dioxide (TiO2) both nanoparticles, water (H2O) sodium alginate (C6H9NaO7) serving base fluids. solution momentum, concentration, energy equation found by utilizing Laplace scheme, different numerical algorithms for inverse Laplace, i.e., Stehfest Tzou’s. graphical analysis investigates impact symmetry significant physical parameters. Consequently, we surmise that water-based has somewhat higher velocity than alginate-based nanofluid. Furthermore, Casson parameter dual effect momentum profile. memory reduces restriction increases temperature layers. results demonstrate increasing solid nanoparticle volume fractions enhanced transmission. In addition, assessment examined increase mass transmission, while shear stress was increased ?.