Theoretical investigation of Arrhenius activation energy on radiative magneto-hydrodynamic nanofluid flow with heat and mass transfer over a porous cylinder

Abstract

In this paper, a mathematical model is developed to investigate the influence of activation energy on MHD nanofluid flow and heat transfer toward a porous cylinder. Flow is incompressible and Newtonian. The fundament of momentum, energy, and mass conservation is transformed into highly non-linear ordinary differential equations (ODEs) by applying the similarity approach. The resulting system ODEs are then solved numerically by applying a boundary value problem solver (bvp4c) with the aid of MATLAB. The impact of different convergence control parameters like curvature parameter (M), Schmidt number (Sc), porosity parameter (k1), magnetic parameter (A), local temperature buoyancy parameter (p), concentration buoyancy parameter (q), Brownian motion parameter (Nb), thermophoresis parameter (Nt), ratio rate parameter (σ), slip parameter (B1), the mixed convection parameter (λ), temperature difference parameter (F), fitted rate constant (e), activation energy parameter (E), heat source/sink parameter (S), radiation parameter (R), thermal conductivity (K), Prandtl number (Pr) on velocity temperature and concentration profiles are elaborated through graphically. The current findings indicate that temperature decreases, but velocity increases when the mixed convection parameter is increased. The concentration profiles reduce when both the Schmidt number and exponent increase. The values of skin friction Nusselt number and Sherwood number are demonstrated in tabular form.