Rheological Laminar Flow Dynamics of a Viscous Fluid with the Scrutinization of a Novel Stagnation Point

Abstract

In the flow field of viscous fluids, a stagnation point always occurs on the surface of the object at x = 0. In this novel study, we examine another significant stagnation point at x → ∞ in the boundary layer region relative to the flow mechanism of a viscous fluid in two dimensions. On the surface of a static sheet, the boundary layer flow phenomenon of a viscous fluid is investigated in two dimensions regarding the determination of two significant stagnation points in the flow field. Based on physical assumptions, the constitutive equations are formulated and transformed into a dimensionless form using appropriate variables. Through the significant condition, we investigated
two stagnation points corresponding to the two cases of free stream velocity i.e. π − α > 0 and π − α < 0. If we consider the case of π − α > 0, then at x = 0, the stagnation point develops and in the case of π − α < 0, the stagnation point emerges at x → ∞. Through the bvp4c technique in the MATLAB package, the dimensionless equations are numerically scrutinized regarding two cases of π − α > 0 and π − α < 0. Graphical scrutinization of these two cases is exhibited for the velocity field. The graphical result exhibits that the velocity field becomes more significant for the case of π − α > 0 as compared to the case of π − α < 0. A comparative study between present and previous findings is exhibited through Tables which show a strong relationship between present and previous findings.