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 ( Pr ) , Lewis number ( Le ) , Brownian motion parameter ( N b ) , thermophoresis parameter ( N t ) , magnetic parameter ( M ) , porosity parameter ( K ) , Frochemier number ( F r 1 ) , and convection Biot number ( Bi ) . 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 N t 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 Le 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 N t < 0.1 but decreases as Le number increases for N t > 0.1 .