Dusty non-Newtonian nanofluid flow along a stretching curved sheet via chemically reactive and heat source/sink imapct: Two-phase model

Abstract

The momentousness of studying the similar solution of MHD flow along a curved stretching surface of non-Newtonian Casson nanofluids with suspended dust particles is due to stretching curved sheets applications across various industries and disciplines, additionally potential applications of dusty nanofluid in various fields. chemical reaction factor is tested in addition to sink and heat sources in the thermal boundary layer. The transformed equations (ODE) are obtained with the help of appropriate similarity variables to facilitate numerical processing. The numerical treatment of the reduced equations is performed employing a numerical technique known as MATLAB function bvp4c to solve our problem equations with the help of the Runge–Kutta method of fourth order. This investigation yields significant conclusions, one of which is that sphere-shaped dust particles in suspension cause the velocity to decrease. That is, the movement declines with the increase in the concentration of dust particles in the fluid. The dust phase’s speed drops, whereas the fluid phase velocity boosts with the curvature factor. Furthermore, the terms skin-friction and the numbers of Nusselt Nus and Sherwood Shs were verified and argued numerically as we found that the Non-Newtonian Casson parameter supports skin-friction. In addition, the liquid–particle interaction factor for temperature increases Nus, and Shs improves with the liquid–particle interaction factor for concentration. The curved stretching surface is recently used in this research to investigate the movement of the boundary layer, as well as the mass and heat transformation properties of a non-Newtonian nano liquid containing spherical dust particles.