Abstract
Two-dimensional magnetohydrodynamic bound- ary layer flow of non-Newtonian power-law nanofluids past a linearly stretching sheet with a linear hydrody- namic slip boundary condition is investigated numeri- cally. 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 equa- tions are solved numerically using Runge-Kutta-Fehl- berg fourth-fifth order numerical method available in the Maple 14 software for the influence of power-law (rhe- ological) index, Lewis number, Prandtl number, thermo- phoresis 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 nano- materials processing.
Highlights
Nanofluid transport phenomena have received extensive attention in the past decade or so, following seminal studies by researchers at the Argonne Energy Laboratory in Illinois, USA, in the 1990s (Eastman et al 2004)
Nanofluids have largely been simulated as Newtonian fluids, their rheological properties have been established for some time
Kedzierski et al (2010) described the results of a significant series of colloidal dispersions collected as part of the International Nanofluid Property Benchmark Exercise (INPBE)
Summary
Nanofluid transport phenomena have received extensive attention in the past decade or so, following seminal studies by researchers at the Argonne Energy Laboratory in Illinois, USA, in the 1990s (Eastman et al 2004). Goyal and Bhargava (2013) used the Reiner-Rivlin second order rheological model to simulate the effect of velocity slip boundary condition on the flow and heat transfer of nonNewtonian nanofluid over a stretching sheet. They employed a finite element algorithm and examined Brownian motion and thermophoresis effects . Prasad et al (2013) used the Keller box finite difference method to simulate numerically the heat transfer in boundary layer slip flow of Casson non-Newtonian fluid from a cylinder. Consider the two-dimensional ðx; yÞ steady-state MHD boundary layer slip flow of a an electrically-conducting non-Newtonian power law nanofluid from a heated porous stretching sheet. The normalized transformed partial differential conservation equations are thereby reduced to: ow o2w oy oxoy ow o2w ox oy
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
