Document Type : Original Article

Author

• Amjed A.A. Alansari

Abstract

This paper with a title” The vortex method simulating the viscous liquid motions has discussed the born of the blobs and their motion, their collection , the effects of Reynold’s Number and it’s effects in the hydrodynamics. By using the integration and partial differential equations. And describe the plane motion , using the calculus of probability. We explain the vortex sheet in the mentioned place.Initialy we must prepare the primary equations of the potential vector filed Vt , VB , VRT Then we must research upon the operator L and the determination of the filed VA , and the conformal mapping into the canonical region, then by using the analytic function vanishing in the infinity to get Cauchy’s integral formula and use it to get Hilbert transforms. We discuss the path of integration ,the boundary properties for the linear circle expressed by plemelij formula and using the application of Harmonic analysis unit reach to final linear integral.


 

Keywords

• Vortex blob
• viscous liquid
• motion
• Reynold’s Number