Eur. Phys. J. Plus (2017) 132: 373
https://doi.org/10.1140/epjp/i2017-11658-6

Regular Article

Numerical investigation of magneto-nanoparticles for unsteady 3D generalized Newtonian liquid flow

¹ Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan
² Department of Computer Science, Shaheed Benazir Bhutto University, 18000, Sheringal Upper Dir, Pakistan

^* e-mail: ahmad49960@yahoo.com

Received: 16 May 2017
Accepted: 13 July 2017
Published online: 1 September 2017

Abstract

The impact of Buongiorno’s model in flow of a 3D unsteady Sisko fluid is discussed in the presence of zero mass nanoparticles flux conditions. The 3D unsteady Sisko fluid equations are first simplified through classical boundary layer approximations and then non-dimensionalized by employing the suitable transformations. The numerical solutions for the resulting flow, heat and mass transfer have been computed by utilizing the two different numerical techniques, namely the bvp4c function in Matlab and the shooting technique with the Runge-Kutta Fehlberg and Newton-Raphson methods. The results of the numerical computations are described in terms of the temperature and concentration plots. The distinct behaviors of nanoliquid velocity, temperature and concentration distributions for shear-thinning and shear-thickening are reported. It is perceived from the results that the effect of Brownian motion becomes negligible for the newly suggested revised relation. To see the validity of the numerical computations, we compare the results of the numerical techniques bvp4c with an efficient numerical method, namely the shooting technique and the RK45 Fehlberg method and perceived an excellent correlation between these methods.