Laminar MHD natural convection flow due to non-Newtonian nanofluid with dust nanoparticles around an isothermal sphere: Non-similar solution

Abstract

The focus of this paper is to examine non-similar solutions of dusty non-Newtonian Casson nanofluid flow around the surface of an isothermal sphere in the presence of magnetic field impact. It is presupposed that the impacts of thermophoresis and Brownian motion are considered into regard in the nanofluid model. In addition to the thermophoresis impact, the normal flux of nanoparticles is equal to zero at the boundary. With respect to the fluid temperature, the surface of the isothermal sphere is preserved at a constant temperature. The dust particles preassumed to having the same size and conform in the spherical shape to the nanoparticles. Suitable non-similarity transformations are utilized to mutate the governing partial differential equations for fluid and dust phases into a system of non-linear, coupled, and non-similar partial differential equations. The generated non-similar equations are solved using numerical technique renown MATLAB function bvp4c and the results are represented in terms of velocity and temperature of fluid and dust phases, and concentration distribution as well as the skin-friction coefficient and heat transfer rate. Obtained results indicate that increasing the mass concentration of the dust particles in the nanofluid leads to depression the motion and an enhancement in the rate of heat transfer. For the nanofluid phase and dust particle phase, the temperature magnitude improves with increasing of the stream wise coordinate additionally the distribution of velocity accelerates away from the sphere surface i.e. with high values of the radial coordinate η. Nomenclature a Radius of the sphere (m) B 0 Constant of magnetic field (kg −1 s −2 A −1 ) C Dimensional concentration C f Skin-friction coefficient c p Specific heat at constant pressure (J/kgK) c s Specific heat of particle phase (J/kgK) D B Brownian diffusion coefficient (m 2 s −1 ) D T Thermophoretic diffusion coefficient (m 2 s −1 ) D ρ Mass concentration of the dust particle Ec Eckert number e ij Deformation rate component f Dimensionless stream function for fluid velocityRECEIVED

Using Micropolar Nanofluid under a Magnetic Field to Enhance Natural Convective Heat Transfer around a Spherical Body

“…The mechanism of boundary layer flow with a semipermeable sphere to describe the Happel and Kuwabara cell models through an 180 incompressible fluid has been investigated by Madasu [2]. Mohamed et al, [3] presented a dust nanoparticles model around an isothermal sphere to calculate the heat flux of nanofluids by natural convection through the bvp4c numerical technique. They found an excellent correlation between the model predictions and experimental data.…”

Internal heat generation impact on MHD natural convection of dusty hybrid nanomaterials within a porous cavity

“…The dust particle flow problems were presented also by some other authors. [28][29][30][31][32][33][34] The main objective of the current paper is to study the natural convection of (Al 2 O 3 -Cu) hybrid nanofluid flow loaded with dust particles within a square cavity filled by a porous medium in the presence of a magnetic field and a heat provenance in the flow region. By implementing the finite difference method on the generated hybrid nanofluid and dust phases equations, the numerical solution of this problem is obtained.…”