Shape effects on the mixed convective hybrid nanoliquid flow over a rough slender cylinder with convective condition

This paper presents the nanoparticle's shape effects on heat and fluid flow characteristics over a slender cylinder with a rough surface. Despite this, the impacts of convective boundary constraints and magnetohydrodynamics (MHD) are included in this analysis. The problem is formulated as a set of nonlinear coupled partial differential equations with boundary constraints. The non-similar transformations have been utilized to convert these dimensional equations into non-dimensional forms. Further, the implicit finite difference scheme and the technique of quasi-linearization are employed for mathematical simplification. In this work, Hamilton and Crosser's model is employed to define the effective viscosity and thermal conductivity of the hybrid nanoliquid. It is observed that heat transfer rate is pronounced to be more for the brick shape of copper and alumina nanoparticles followed by cylinder, platelet, and blade shape nanoparticles. The magnetic parameter is more favourable to the heat transfer rate than to the skin-friction coefficient for the positive values of the Eckert number, i.e. fluid heating case. The temperature of the fluid and heat transfer rate are enhanced for larger values of the Biot number. The skin-friction coefficient is higher for the platelet shape nanoparticles, followed by cylinder, brick, and blade shape nanoparticles.