Numerical exploration of MHD falkner-skan-sutterby nanofluid flow by utilizing an advanced non-homogeneous two-phase nanofluid model and non-fourier heat-flux theory

Abstract

In this study, the feature of stagnant Sutterby nanofluid towards a wedge surface is analyzed under the impact of a variable external magnetic field. Instead of the traditional Fourier law, the realistic Cattaneo-Christov principle is incorporated in the energy equation to scrutinize the heat flow pattern by utilizing the non-homogeneous two-phase nanofluid model. The constitutive flow rules are transfigured into a nonlinear differential system via feasible mathematical alterations. Methodologically, the bvp4c numerical procedure is employed properly to derive accurate numerical solutions for the present boundary flow problem. By varying the values of the involved parameters of the governing equations, the behaviors of temperature, velocity, and concentration profiles are described graphically and interpreted thoroughly. In this attempt, the major finding is that the magnetic field accelerates the motion and declines the temperature and concentration fields in the performance of suction and injection. Moreover, the nanofluid parameters upsurge the heat transfer mechanism and decline the mass transport and the effect of drag forces in both situations of wall-through flow (i.e., suction and injection effects). Furthermore, the nanofluid concentration profile decays due to the strengthening in the thermophoresis phenomenon. As a useful application, the magnetic function trend along with the thermophoresis diffusion on the nanofluid flow field may be exerted broadly in the field of aerosol technology. © 2020 Faculty of Engineering, Alexandria University