On low Reynolds number optimization of non‐linear partial differential equations for convergent–divergent engulfment: A numerical result

Abstract

The flow field in a convergent-divergent engulfment along with the installation of infinite cylinders as an obstacle results in non-linear partial differential equations and the scientific computation in this regard remains a challenging task. The present attempt is the numerical motivation in this direction to evaluate the flowing liquid stream in the convergent-divergent channel at a low Reynolds number. From the left wall, the liquid stream move with the parabolic profile and have interaction with the case-wise installation of infinite cylinders in the left vicinity of the convergent-divergent throat. The differential system is constructed for the flow field in the channel and hybrid meshed finite element method is utilized to report the numerical solution. A comparative study is enclosed for the hydrodynamic forces faced by obstructions in the left region of the convergent-divergent throat. The drag coefficient for a triangular cylinder acting as an obstruction is higher than that of a circular hitch. In comparison to both triangular and circular hitches, the square-shaped obstacle suffered the most drag force. Considering drag coefficient one can extend this work to obtain information for the real behavior of the vehicle toward air flow and may conclude findings toward reduction of fuel consumption.