Magnetohydrodynamic stagnation point flow toward stretching/shrinking permeable plate in porous medium filled with a nanofluid

Abstract

In this article, the magnetohydrodynamic stagnation point flow and heat transfer of an incompressible viscous nanofluid over a shrinking/stretching permeable sheet is investigated theoretically and analytically. The ambient fluid velocity, stretching/shrinking velocity of sheet and the wall temperature are assumed to vary linearly with the distance from the stagnation point. The similarity solution is used to reduce the governing system of partial differential equations to a set of highly non-linear ordinary differential equations which are then solved analytically using a very efficient technique, namely homotopy analysis method. Expressions for velocity and temperature fields are developed in series form and graphical results are presented to investigate the influence of various pertinent parameters. Here, three different types of nanoparticles, namely copper Cu, alumina Al 2 O 3 and titania TiO 2 with water as the base fluid are considered. It is observed that, for all three nanoparticles, the magnitude of the skin friction coefficient and local Nusselt number increases with the nanoparticle volume fraction È. The highest values of the skin friction coefficient and the local Nusselt number were obtained for the Cu nanoparticles compared to Al 2 O 3 and TiO 2 .

Buongiorno’s model for double-diffusive mixed convective stagnation-point flow of a nanofluid considering diffusiophoresis effect of binary base fluid

“…Moreover, a reduction in the reduced Sherwood number of 52 nanoparticle is observed with increase in each of Nc and Nt, while this quantity increases with Nb. [1][2][3][4]. The word ''nanofluid'' coined by Choi [5] describes a liquid 62 suspension containing ultra-fine particles (diameter less than 63 50 nm).…”

Numerical study of radiative Maxwell viscoelastic magnetized flow from a stretching permeable sheet with the Cattaneo–Christov heat flux model

“…We have applied the Chebyshev spectral collocation method to obtain the solution for Eq. (20). This method involves approximating the unknown functions using Chebyshev interpolating polynomials defined on the interval [-1,1] by :…”

“…Further, they found that the permeability parameter has a more influence on a flow and heat transfer of nanofluid as compared to magnetic parameter. Later, Khalili et al [20] considered the MHD effects on stagnation point nanofluid flow on a porous stretching/shrinking permeable plate. They considered three types of nanoparticles such as Copper, alumina and titania with water as a base fluid.…”

Multiple Impinging Jet Cooling of a Wavy Surface by Using Double Porous Fins under Non-Uniform Magnetic Field

“…As an extension of their work, they recommended to consider the potentials of using porous media with nanofluids for solar systems. MHD flow in porous medium by using nanofluids were considered in several works [57][58][59][60][61].…”