Abstract
This work explores theoretical analysis for time-dependent flow of a Nano Walter's B fluid on a rotational cone under magnetic regime. Angular velocity is taken as a reverse linear function of time near and away from the cone to obtain self-similar solutions. The analytical result of reduced nonlinear system has been achieved via optimal homotopy analysis method to simulate the flow performance graphically. Comparison with the published material is also a salient feature of the present exploration that validates the obtained results. It is observed that heat and mass transfer rates have contradictory effects on Brownian motion and thermophoresis parameters, respectively.