Abstract
A new study aims to clarify the analytical and mathematical dimensions of the tangent hyperbolic fluid through the plate and cone with useful uses in technical devices like the handling of biomass pyrolysis and viscometer. The presence of chemical process and mixed convection in the natural characteristics of liquid is taken into account. By implementing the homotopy analysis approach, the achieved coupling system is inspected. The influence of the flow control variables on the related profiles is evaluated quantitatively and qualitatively in order to get a full understanding of the current pagination. Through the deep study, it is calculated that convective thermal and surface drag factor for the plate is greater in magnitude than for the cone. The superiority is also observed for the plate in the thermal field relative to that in the cone. The results shows that the heat transfer improves as Hartmann number (M) and Brownian motion factor (Nt) increase but it decreases with an increase of thermophoresis factor (Nb). Also it can be found that effect of drag coefficient is more pronounced or higher for cone as compared to plate.