Abstract
This article addresses (3D) flow of Carreau liquid in the presence of nanomaterials induced by a nonlinearly extendable surface. A nonlinear extendable surface generates the flow. Heat and mass transport via convective process is considered. The novel characteristics in regard to Brownian dispersion and thermophoresis are retained. The variation in partial differential framework to nonlinear ordinary differential framework is done through reasonable transformations. The graphical representation of transformed nonlinear ordinary differential framework is developed for both situations (n<1 and n>1). An efficient numerical solver namely NDSolve is used to tackle the governing nonlinear framework. The contributions of various interesting variables are studied graphically. Physical amounts like surface drag coefficients, transfer of heat and mass rates are portrayed by numeric esteems.