Numerical study of Casson nanofluid flow past a vertical convectively heated Riga-plate with Navier’s slip condition

Abstract

Here, the primary concern of this investigation is to illustrate the influence of Navier's slip condition on mixed convective flow of Casson-nanofluid past a vertical heated Riga plate. The Riga plate comprises span wise allied arrangement of permanent magnets and electrodes fixed on the plane surface. This array persuades a Lorentz force in a direction parallel to the arrangement, which is reduced due to distance normal to the plate. The governing mathematical model is converted into extremely nonlinear ODE (Ordinary Differential Equation) by using proper similarity variables. FEM (Finite Element Method) is implemented to analyse the solution of BVP (Boundary value Problem). The influence of relevant flow parameters on the Casson-nanofluid temperature, velocity and nanoparticle concentration are explained via numerous graphs. Also, the numerical findings of heat transfer rate and shear stress at the convectively heated Riga plate are illustrated to show the significance of pertinent flow parameters. Our results disclose that the shear stress can be controlled by choosing an apt quality and size of the nanoparticles and also regulating the flow magnitude opposing and aiding Lorentz forces owing to the Riga plate.