Abstract
This article addresses 3D flow of Oldroyd-B liquid in the presence of nanomaterials induced by a linearly extendable surface. Analysis is carried out in rotating frame. The novel characteristics in regards to Brownian dispersion and thermophoresis are retained. Heat transfer via convective process is considered. Developed constraint with zero nanoparticles flux at boundary is employed. Problem formulation is made for boundary-layer and low magnetic Reynolds parameter approximations. Suitable nondimensional variables lead to strong nonlinear ordinary differential system. The strongly nonlinear differential expressions are solved through optimal homotopy analysis method. The optimal arrangement articulations of velocities, temperature, concentration and transfer of heat rate (local Nusselt number) are explained by means of plots by utilizing the different estimations of included variables. It is noticed that heat transfer rate significantly enhances for the higher values of Biot and Prandtl numbers.