MHD quadratic mixed convective Eyring-Powell nanofluid flow with multiple diffusions

Abstract

In many industrial processes such as metal extrusion, paper manufacture, glass fibre production, metal and polymer extrusion, the process design engineers are concerned with efficient heat and mass transfer near the bounding surfaces of the fluid machineries. The applied magnetic field and nanoparticle additives in the fluid are often employed as control mechanisms for efficient heat and mass transport in the presence of multiple diffusive species. Further, the rheological behaviour of the industrial fluids is non-Newtonian behaviour. In this paper, the main objective is to investigate the magnetohydrodynamic triple diffusive quadratic combined convective Eyring-Powell nanoliquid flow over a moving vertical plate in the presence of diffusing liquid hydrogen and oxygen. The mathematical study of such flows is yet to be reported in the open literature. The present mathematical analysis reveals the fluid flow characteristics in terms of many physical parameters that could serve as process design parameters. The governing nonlinear coupled partial differential equations (NCPDEs) and boundary constraints that model the flow problem are converted into dimensionless equations by utilising non-similar transformations. The quasilinearization of the resulting dimensionless governing equations, followed by their implicit finite difference approximation, leads to a block tri-diagonal system, which is solved using Varga's algorithm. The numerical results for fluid velocity, temperature, species concentration, nanoparticle volume fraction distributions, and corresponding gradients correlate with the various physical parameters graphically. The computations have been performed for several values of physical parameters: quadratic mixed convective parameterγ(0≤γ≤1), thermophoresis parameterNt(0≤Nt≤1), Magnetic field parameter M(0≤M≤1), Eckert number Ec(−0.1≤Ec≤0.1), Lewis number Le(2≤Le≤10), Richardson number Ri(−1≤Ri≤10), Brownian diffusion parameterNb(0≤Nb≤1), Eyring-Powell fluid material parameters α*(0≤α*≤2) and β*(0≤β*≤2). The analysis of the numerical results has shown that the enhancing values of quadratic combine convection parameter enhance the magnitude of surface drag coefficient and heat transport rate. At the same time, it decreases for the Eyring-Powell fluid characteristics compared to that for a Newtonian liquid. Finally, the computed values of the heat transport coefficient in the present study are consistent with the previously published results in the literature.