Abstract
The process of fluid flow over three-dimensional (3D) domains has valuable and promising applications in multiple disciplines like in aerodynamics, computer graphics, environmental science, material synthesis technology, geographic information system, polymer industry and so forth. So, in view of such admirable utilization of fluid flowing processes over 3D surfaces current effort is presented to examine the flow behavior of non-Newtonian fluid past a bidirectional non-linearly stretched sheet. In this regards, Williamson model is considered which represent speculative features of shear thinning materials which are obliged in biomechanics, lubricants formation, polymer solution, suspension etc. Momentum transport with in flow field is envisioned by the appliance of transversally directed magnetic. The novelty of analysis is strengthened by Fourier heat flux and Buongiorno mass conservation models. Mathematical modelling of conventional energy equation is modified by incorporation of nanofluid Brownian and thermophoresis effects. The condition of zero normal flux of nanoparticles at the stretching surface is defined to impulse the particles away from the surface in combination with nonzero normal flux condition. Mathematical modelling of Williamson fluid including the impact of chemical reaction, radiative heat flux and heat source is manifested in the form of partial differential equations. Similarity variables are capitalized to transmute governing modelled conservation laws in to ordinary non-dimensionalzed expressions. Assessment of flow attributing profiles is disclosed by implementing Runge-Kutta-Fehlberg procedure (RKF-45) in collaboration with shooting method. Behavior of momentum, temperature and concentration distributions against miscellaneous arising parameters is visualized through graphical structures. Graphical visualization and numerical data about surface drag coefficients and heat and mass transfer rates are also presented. The computed solution is in excellent agreement with existing data in a limiting sense which assures the credulity of this work.