Study of the incompressible fluid-flow past a square cylinder in a viscous medium

The present study makes an effort to find out the location of the drag, stream lines and contours of static pressure in the flow field passing through the square cylinder in incompressible viscous media. For this work, different values of Reynolds Numbers have been chosen. The distance of both the walls from the bluff body has been kept unaltered. It is observed that the vortices are attached with the rear side of the cylinder. With the increase in Reynolds Number the size of the vortices becomes smaller and the vortices start displaced from the rear side of the cylinder. At about Reynolds number 250, it is noticed that the vortices may not be attached with the rear side of the cylinder but pressure difference zones may be found to be formed in the top and bottom corner of the front side of the cylinder. It has also been observed that the same nature of stream lines may be found in front of the bluff body for different Reynolds Number which is varied after passing the bluff body. Besides, a cavity zone which was small in size for low Reynolds Number becomes larger with the increase in Reynolds number. All these observations have been made to see the issues related to the location and magnitude of Drag for the in compressible viscous flow passing through the square cylinder for the fixed wall distance with varying Reynolds Numbers. Keywords: drag, incompressible viscous media, Reynolds’ Number, bluff body, square cylinder.

[...] A square cylinder is kept in between of two parallel plates and air is taken as a material which past that cylinder. The property of material which should be available for this solution is taken as follows: Density: 1.225 kg/m3 CP (specific heat): 1006.43 j/kg-k Viscosity: 1.7894 e-05 kg/m-s conditions have been applied over the two confining surfaces. At the inlet of the channel, the stream wise velocity profile is taken as uniform. There is no unique available prescription for the outflow velocity condition. [...]

[...] Critical value of Reynolds number for the minimum drag force may be obtained after a careful study in this direction. Fig.2: Contours of Static Pressure with Reynolds Number 100. Fig.3: Contours of Static Pressure with Reynolds Number Fig.4: Contours of Static Pressure with Reynolds Number 200. Fig.8: Streamline pattern for Reynolds number 200. REFERENCES 1. Davis, R. W. and Moore, E. F Numerical Study of Vortex Shedding from Rectangles,” J. Fluid Mech pp. 475- Okajima, A “Strouhal N umbers of Rectangular Cylinders,” J. [...]