Convective Flow of Water-Ethylene Glycol (50:50) Based Nanofluid Over a Spinning Down-Pointing Vertical Cone in a Darcy Porous Medium

Abstract

The present work analyzes the free convective boundary layer flow of nanofluids around a heated and spinning down pointing vertical cone with the effect of magnetic field placed in a porous medium. The solutions of the partial differential equations with slip boundary conditions, which describes the flow are attained by a numerical based technique called fourth order Runge-Kutta method with shooting techniques after converting into ordinary differential equations with suitable transformations. The impact of governing parameter on velocity profile, temperature distribution is represented graphically. The range of the variables are 0 < M < 4, 0.01 < Φ < 0.04, 0 < ɛ < 4, 0 < Da < 4, 0.1 < Γ1 < 1.5 and 0.1 < Γ2 < 1.5. Increasing the value of Da noticeably promotes the F′(y) and G(y) and diminishes the H(y). Regarding tangential velocity, Fe3O4 dominates Al2O3 for every values of Magnetic parameter, spin parameter, Darcy number, velocity and thermal slip parameter. Fe3O4 possess 0.87% of high heat transfer rate than Al2O3 with respect to nanoparticle volume fraction. In case of slip parameters (velocity and thermal) Al2O3 shows good heat transfer rate than Fe3O4 with 0.93% and 0.98% respectively. It is scrutinized that the current results are in excellent compatibility with the outcomes noted as in previous works.