Finite Element Modelling of MHD Stefan Blowing Convective Ag-MgO/Water Hybrid Nanofluid induced by Stretching Cylinder utilizing Non-Fourier/Ficks Model

Abstract

The objective of the current analysis is to implement the Cattaneo Christov heat (Non-Fourier’s) and mass flux (Non-Fick’s) concept in modified Buongiorno’s model for nanofluid magneto-transport phenomena over an extending cylinder in presence of gyrotactic microorganisms. The nanofluid comprises chemically reactive hybrid nanoparticles (Ag MgO Np’s) in the base fluid and Stefan blowing effect along with multiple slips is taken into account. The experimental correlations with their dependency on nanoparticle concentration are used for viscosity and thermal conductivity. The appropriate similarity transformations are applied to convert the PDE’s into non-linear ODE’s along with boundary conditions, prior to being evaluated computationally utilizing the Galerkin Finite Element Method (GFEM). The mesh independent test with different boundary layer thickness (ξ ∞) has been conducted by taking both linear and quadratic shape functions to achieve a optimal desired value. The numerical outcomes are in acceptable concurrence with those acquired from the literature. The results are calculated for realistic range of physical parameters. The warmth exhibitions are assessed through renowned Buongiorno’s model which effectively reflects the significant highlights of thermophoresis parameter(Nt = 0.001 to 0.05) and Brownian motion parameter (Nb = 0.001 to 0.05).

Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law

“…The wall temperature is , the wall concentration is , and the wall microorganism density is ; away from the wall these terms are , , and , respectively. Using the boundary layer approximation of ( ) = 1 = ( ) , ( ) = = ( ) and the above supposition, the equations of momentum, mass, energy, concentration, and microorganism density become [11,21,45]:…”

“…Esfe et al [20] scrutinized the impact of the volume fraction of nanoparticles on the dynamic viscosity and thermal conductivity of Ag-MgO/water hybrid nanofluids with particle sizes of 25(Ag) and 40(MgO) nm and nanofluid volume fractions (50 percent Ag and 50 percent MgO by volume) ranging from 0 to 2 percent and found new interrelations. In a modified Buongiorno's model for the nanomaterial liquid magneto-transport phenomenon over an expanding cylinder in the vicinity of motile microorganism density, Rana et al [21] integrated the Cattaneo-Christov mass flux (non-Fick's) and heat (non-Fourier's) ideas. Ma et al [22] provided a (2D) numerical simulation of Ag-MgO nanomaterial forced convection and thermal transport in a channel with active coolers and heaters, to investigate the effect of a magnetic field on heat transport and nanomaterial liquid Ag-MgO forced convection.…”