Dual Solutions of Radiative Magneto Non-Newtonian Carreau Nanofluid With Arrhenius Activation Energy and Binary Chemical Reaction Over a Stretching/Shrinking Sheet

Non-Newtonian fluid has attracted several researchers due to its enormous industrial applications like large scale heating and cooling systems, oil-pipeline friction reduction, etc. Numerical analysis is performed to investigate the influence of dual solutions on magneto non-Newtonian Carreau nanofluid with Arrhenius activation energy and binary chemical reaction over stretching/shrinking sheet. Thermal radiation is also taken into consideration. Similarity transformation is introduced to convert governing equations into ODE's which are highly non-linear in nature. 5th order Runge-Kutta-Fehlberg method using shooting technique is considered to solve ODE's. Comparison of Nusselt number with previously published work is computed to validate the present code and excellent agreement is reported. Influence of dual velocity, temperature and concentration profiles for concerned physical parameters were depicted graphically and explained in details. Results indicate that when Carreau fluid acts as shear thinning fluids, an enhancement in momentum boundary layer occurred for shrinking sheet whereas it declines for stretching sheet but reverse trend happens when Carreau fluid behaves as shear thickening fluids for several values of Weissenberg number. Also rate of heat transfer and mass transfer were portrayed graphically and found that Nusselt number and Sherwood number enhanced for both solutions as brownian motion parameter and thermophoresis parameter increased.