Abstract
A steady MHD boundary layer flow of Powell–Eyring dusty nanofluid over a stretching surface with heat flux condition is studied numerically. It is assumed that the fluid is incompressible and the impacts of thermophoresis and Brownian motion are taken into regard. In addition, the Powell–Eyring terms are considered in the momentum boundary layer and thermal boundary layer. The dust particles are seen as to be having the same size and conform to the nanoparticles in a spherical shape. We obtain a system of ordinary differential equations that are suitable for analyzed numerically using the fourth-order Runge–Kutta method via software algebraic MATLAB by applying appropriate transformations to the system of the governing partial differential equations in our problem. There is perfect compatibility between the bygone and current results when comparing our numerical solutions with the available data for values of the selected parameters. This confirms the validity of the method used here and thus the validity of the results. The influence of some parameters on the boundary layer profiles (the velocity and temperature for the particle phase and fluid phase, and nanoparticle concentration) is discussed. The results of this study display that the profiles of the velocity for particle and fluid phases increase with increasing Powell–Eyring fluid parameter, but reduce with height in magnetic field values. Mass concentration of the dust particles decreases the temperature of both the particle and fluid phases. The results also indicate the concentration of nanoparticle contraction as Schmidt number increases.
Highlights
Magnetohydrodynamics (MHD) tends to describe the behavior of electrically conducting fluids like liquid metals, plasmas, and astrophysical systems as well as studying the magnetic field and velocity in these fluids
Alfven [4, 5] put the magnetohydrodynamics (MHD) equations requisite basic and he recognized the importance of the generated magnetic field as well as the electric currents loaded by plasma
Thermal radiation impact on the flow of magnetohydrodynamic (MHD) over a vertical plate with considering convective boundary condition into the model of flow has been discussed by Etwire and Seini [6]
Summary
Magnetohydrodynamics (MHD) tends to describe the behavior of electrically conducting fluids like liquid metals, plasmas, and astrophysical systems as well as studying the magnetic field and velocity in these fluids. The problem of MHD boundary layer flow of a non-Newtonian nanofluid enforcing the model of Powell–Eyring past an impermeable nonlinear stretching sheet with variable thickness has explored by Hayat et al [30]. They observed that an increase in the thermophoresis parameter leads to an increment of both concentration and temperature profiles. The object of our paper is to present an analysis of the problem of MHD flow of non-Newtonian Powell–Eyring fluid in the presence of nanoparticles and dust particles towards a stretching vertical plate with heat flux condition.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.