The examination of liquids in motion refers to the study of hydrodynamics. The present work reports the extended novelty of the hydrodynamics. To be more specific, the flowing fluid stream admitting Newton's law of viscosity is considered in a smooth rectangular channel. The various typical shaped cylinders are placed fixed in between rectangular channel as an obstacle. The shape of obstacles includes the triangle, square, hexagon, octagon and circle. The no-slip condition is carried at both the upper and lower walls of the channel. The right wall as an outlet is specified with the Neumann condition. The fluid is initiated at an inlet of the channel with the two different class of velocity profiles, namely the constant velocity profile and the parabolic profile. The whole physical designed is controlled mathematically in terms of Navier-Stokes equations. The solution is proposed with the finite element method and for the discretization of flow narrating equations the LBB-stable finite element pair is utilized along with a hybrid meshing scheme. The primitive variables namely, the velocity and pressure are reported for each obstacle. The line integration around the outer surface of the triangle, square, hexagon, octagon and circular cylinders is carried for the evaluation of hydrodynamic forces. The statistical data for such hydrodynamic forces is recorded up-to nine various refinement levels. It is noticed that the assumption of the parabolic velocity profile is more realistic approach in comparison with the constant velocity profile. Further, the hydrodynamic forces namely, the drag and lift are found object dependent in a rectangular channel having viscous fluid. It is trusted that the optimized path from triangle to circular shaped obstacle will serve as a helping source for the proceeding studies of hydrodynamics.