Numerical assessment of solar energy aspects on 3D magneto-Carreau nanofluid: A revised proposed relation

Motivated by countless applications of nonlinear materials in the field of science and engineering, we establish a mathematical relation for 3D radiative flow of a magneto Carreau nanofluid over a bidirectional stretched surface. Additionally, the features of nanoparticles mass flux condition are occupied in this investigation. Practically, this recently recommended approach is more realistic where we assume that the nanoparticle flux is zero and nanoparticle fraction adjusts itself on the boundaries accordingly. With this convincing and revised relation, the features of Buongiorno's relation on 3D Carreau liquid can be applied in a more effective way. An appropriate transformation is vacant to alter the PDEs into ODEs and then tackled numerically by employing bvp4c scheme. The numerous consequence of scheming parameters on the Carreau nanoliquid velocity components, temperature and concentration fields are portrayed graphically and deliberated in detail. The numerical outcomes for local skin friction and the wall temperature gradient for nanoliquid are intended and vacant through tables. The outcomes conveyed here manifest that impact of Brownian motion parameter on the rate of heat transfer for nanoliquids becomes negligible for the recently recommended revised relation. It is notable that the magnetic parameter M is the diminishing function of velocity components f′(η) and g′(η) , while it enhance for temperature of Carreau liquid for both shear thinning/thickening liquids. Moreover, it is noted that the impact of the Brownian motion Nb and thermophoresis parameter Nt on the concentration of the Carreau nanofluid is quite opposite. For authentication of the present relation, the achieved results are distinguished with earlier research works in specific cases and marvelous agreement has been noted.