Abstract
The purely viscous flowing liquid stream claims the importance of evaluation of hydrodynamic forces experienced by natural or man-made offshore structures like the influence of interaction of flowing liquid stream with water turbine arrays performance in tidal channels. Therefore, it remains always a challenging task for the researchers to examine the hydrodynamic forces. Further the exact solution for flowing liquid stream around any hindrance is impossible. The present pagination contains generous analysis subject to examination of hydrodynamic forces due to flowing liquid stream. To be more specific, we have considered a smooth computational domain and to attain the grooved domain the uniformly heated rectangular ribs are introduced. The novelty is increased by in-taking an externally applied magnetic field. The five different shaped uniformly heated obstacles are introduced case-wise. The purely viscous liquid stream is initiated with parabolic velocity profile from the left wall of grooved channel. Owing all other assumptions which includes no-slip, Neumann and adiabatic conditions, the mathematical system is developed. The finite element method conjecture with hybrid meshing is utilized to report the quantities of interest namely the velocity, pressure, temperature, drag force and lift force. The outcomes are offered in terms of contour plots. For better insight the line graph study is also carried. The line integration is performed around the outer surface of installed obstacles to sum-up the magnetized optimization of hydrodynamic forces. It is observed that the drag force in terms of drag coefficient subject to all regular obstacles is increasing function of magnetic field parameter.
•Purely viscous flowing liquid stream is formulated in a grooved computational domain.•Magnetized optimization of hydrodynamic forces is proposed.•Five regular obstacles are installed fixed towards ongoing fluid stream.•LBB-stable finite element pair with hybrid meshing is carried.•Both contour plots and line graph study is adopted to report FEM outcomes.