Group analysis and numerical computation of magneto-convective non-Newtonian nanofluid slip flow from a permeable stretching sheet

Abstract

Two-dimensional magnetohydrodynamic boundary layer flow of non-Newtonian power-law nanofluids past a linearly stretching sheet with a linear hydrodynamic slip boundary condition is investigated numerically. The non-Newtonian nanofluid model incorporates the effects of Brownian motion and thermophoresis. Similarity transformations and corresponding similarity equations of the transport equations are derived via a linear group of transformations. The transformed equations are solved numerically using Runge-Kutta-Fehlberg fourth-fifth order numerical method available in the Maple 14 software for the influence of power-law (rheological) index, Lewis number, Prandtl number, thermophoresis parameter, Brownian motion parameter, magnetic field parameter and linear momentum slip parameter. Validation is achieved with an optimized Nakamura implicit finite difference algorithm (NANO-NAK). Representative results for the dimensionless axial velocity, temperature and concentration profiles have been presented graphically. The present results of skin friction factor and reduced heat transfer rate are also compared with the published results for several special cases of the model and found to be in close agreement. The study has applications in electromagnetic nanomaterials processing.

Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

“…viscoelastic liquids (Bég et al. [46]), micropolar biopolymers (Bég et al [47]) and power-law shear thinning/thickening nanofluids (Uddin et al [37]), and will be communicated imminently. Tables Table 1 Comparison of values of   Table 2 Values of   …”

Heat transfer and flow analysis of nanofluid flow between parallel plates in presence of variable magnetic field using HPM

“…Velocity, temperature as well as concentration rises with convective heating parameter. Also, Uddin et al [21] investigated non-Newtonian nanofluid slip flow from a permeable stretching sheet. Their result showed that skin friction factor has a significant effect on the flow properties of Nan fluid.…”

“…with substituting f , ,  from equations(24)(25)(26) into equations(21)(22)(23) and some simplification and rearranging based on powers of p-terms, we have:…”

Bioconvective Non-Newtonian Nanofluid Transport in Porous Media Containing Micro-Organisms in a Moving Free Stream

“…10 Efforts in this direction have grown in the past few years. Uddin et al 25 employed an Ostwald-deWaele power-law model for nanofluid convection flows in porous media with multi-physical effects and also used the MAPLE software. Goyal and Bhargava 26 used a Reiner-Rivlin viscoelastic nanofluid model and a finite element code to study Crane stretching dynamics.…”

“…In the present thermofluid mechanical simulations, boundary layer theory is adopted owing to the excellent ability of this approach in capturing near-wall flow characteristics. The transformed boundary layer equations are solved using MAPLE shooting algorithms 25 and the influence of the bioconvection Lewis number, Peclet number, bioconvection Rayleigh number, power law rheological index and nanofluid parameters on heat, mass and momentum characteristics are explored in detail.…”