Analysis of mixed convecto-magnetic Buongiorno nanofluid flow in a non-Darcy porous medium

Abstract

Analysis of nanofluid flow phenomena through a stretching sheet in a non-Darcy porous medium has great importance in enhancing transport processes in energy systems like hybrid fuel cell technology, glass blowing, etc. The current study looks at two-dimensional flow over a convectively heated linear stretching sheet in presence of a magnetic field. The boundary layer flow caused by a sheet that is linearly stretched has been investigated numerically. Employing the appropriate similarity transformation, the governing partial differential equations, which define the flow regime, are converted into a set of ordinary differential equations. The mathematical calculations are carried out using a finite difference algorithm with the aid of Newton's linearization method, which allows us to handle non-linear terms very smoothly. The outcomes of this work have been demonstrated are based on eight parameters, such as Prandtl number [Formula: see text], Lewis number [Formula: see text], Brownian motion parameter [Formula: see text], thermophoresis parameter [Formula: see text], magnetic parameter [Formula: see text], porosity parameter [Formula: see text], Frochemier number [Formula: see text], and convection Biot number [Formula: see text]. The impacts of aforementioned parameters on thermal and concentration boundary layers are depicted graphically. It has been found that the heat transfer in the boundary layer rises as [Formula: see text] enhances, and deposits aggravating particle away from the fluid region and increases the volume percentage of nanoparticles. Moreover, it has been found that as the [Formula: see text] number rises, the concentration profiles become steeper and the species border layer becomes thinner. Furthermore, it has been encountered that the reduced Sherwoord number rises as Le number increases for [Formula: see text] but decreases as [Formula: see text] number increases for [Formula: see text].

Keywords

• Nanofluid
• stretching sheet; finite difference method
• non-Darcy porous medium