Effect of Various Shaped Al2O3 and TiO2 Nanoparticles on Water-Based MHD Nanofluid Flow Through Convergent-Divergent Channels

Abstract

The present study inspects the effects of three different shapes of Al₂O₃ and TiO₂ nanoparticles on the two-dimensional heat transfer of steady magnetohydrodynamic incompressible water-based nanofluid flow through convergent-divergent channels. The governing dimensional partial differential equations are converted into a system of dimensionless ordinary differential equations using appropriate transformations. These dimensionless governing equations are solved applying power series and the solutions are then analysed by Hermite-Padé approximation method. The considered three shapes of nanoparticles are platelet, cylinder, and brick for performing the analysis. The influences of governing physical parameters such as channel angle, Reynolds number, Hartman number, Prandtl number, Eckert number and nanoparticles solid volume fraction on the velocity profiles and temperature distributions are investigated. The effects of three different shapes are examined for the case of all parameters and it is found that the brick-shaped nanoparticles exhibit higher temperature distributions compared to cylinder-shaped and platelet-shaped particles.