Effect of induced magnetic field on non-Newtonian nanofluid Al2O3 motion through boundary-layer with gyrotactic microorganisms

Abstract

The effect of the induced magnetic field on the motion of Eyring-Powell nanofluid Al2O3, containing gyrotactic microorganisms through the boundary layer is investigated. The viscoelastic dissipation is taken into consideration. The system is stressed by an external magnetic field. The continuity, momentum, induced magnetic field, temperature, concentration and microorganisms equations that describe our problem are written in the form of two-dimensional nonlinear differential equations. The system of nonlinear partial differential equations is transformed into ordinary differential equations using appropriate similarity transformations with suitable boundary conditions and solved numerically by applying the ND Solve command in the Mathematica program. The obtained numerical results for velocity, induced magnetic field, temperature, the nanoparticles concentration and microorganisms are discussed and presented graphically through some figures. The physical parameters of the problem play an important rule in the control of the obtained solutions. Moreover, it is obvious that as Grashof number Gr increases, both the velocity f' and the induced magnetic field h' increase, while, the reciprocal magnetic Prandtl number A works on decreasing both f' and h'. As Eckert number Ec increases the temperature increases, while it decreases as the velocity ratio B increases.

Electro-osmosis and coupled stress effect on peristaltic power-law fluid flow with gold nanoparticles through a non-Darcy porous medium

“…Nanoparticles concentration equation (6) in which u is the axial velocity, v is the transverse velocity, y is the transverse coordinate, f  is the density of the fluid, P is the fluid pressure, ij S are the stress tensor components of power-law model,  is the couple stress coefficient, 0  is the dynamic viscosity of the fluid, k is the permeability constant of the porous medium, s c is Forchheimer constant, g is the gravitational acceleration,  is the inclination angle of the channel,  is the fluid electrical conductivity, e…”

“…Eldabe et al [5] investigated Ohmic dissipation and mixed convection effects on non-Newtonian nanofluid flow between two co-axial tubes with peristalsis. Eldabe et al [6] studied the effect of the induced magnetic field on the motion of non-Newtonian nanofluid Al2O3, through the boundary-layer containing gyrotactic microorganisms.…”

Effects of Thermal Diffusion and Diffusion Thermo on a Chemically Reacting MHD Peristaltic Transport of Bingham Plastic Nanofluid

“…Mohamed and Abou-zeid [10] investigated MHD peristaltic flow of micropolar Casson nanofluid through a porous medium between two co-axial tubes. Eldabe et al, [11] analyzed the effect of induced magnetic field on non-Newtonian nanofluid Al 2 O 3 motion through boundary-layer with gyrotactic microorganisms. Thermal diffusion and diffusion thermo effects on Magnetohydrodynamics transport of non-Newtonian nanofluid through a porous media between two wavy co-axial tubes studied by Eldabe et al, [12].…”

Thermal micropolar and couple stresses effects on peristaltic flow of biviscosity nanofluid through a porous medium

“…Micropolar fluids consider as a special case of classical model established Navier–Stokes, is call polar fluids with microstructure with nonsymmetric stress tensor. Eldabe et al 18 discussed the influence of the induced magnetic field which contain gyrotactic microorganisms on Eyring-Powell nanofluid Al2O3 motion through the boundary-layer. Mixed convention and uniform inclined magnetic field influences with heat transfer on non-Newtonian micropolar nanofluid Al2O3 flow are discussed by Eldabe et al 19 .…”