THE PROBLEM OF INCOMPRESSIBLE JETS WITH CURVILINEAR WALLS

CARABINEANU Adrian
2010 INCAS Bulletin  
The jet flow problem concerning the discharge of a fluid (from an orifice in a container) into the atmosphere is studied herein in the framework of the Helmholtz-Kirchhoff model. The problem is reduced to the study of a system of nonlinear equations. Using Leray-Schauder's fixed point theorem we prove that the system of functional equations has at least one solution. Then we present a semi-inverse method which gives us the possibility to calculate numerically the unknown free lines for
more » ... lines for symmetric jets whose walls consist of semi-infinite straight lines and arcs of circle and for non-symmetric jets whose walls consist of semi-infinite straight lines.
doi:10.13111/2066-8201.2010.2.4.10 fatcat:mldgw7u72rcr5h6remn4bvu2bm