An improved boundary element method for the 2D lifting airfoil problem

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The flow of an incompressible electroconductive fluid past a thin airfoil. The parabolic profile

We study the two-dimensional steady flow of an ideal incompressible perfectly conducting fluid past an insulating thin parabolic airfoil. We consider the linearized Euler and Maxwell equations and Ohm's law. We use the integral representations for the velocity, magnetic induction and pressure and the boundary conditions to obtain an integral equation for the jump of the pressure across the airfoil. We give some graphic representations for the lift coefficient, velocity and magnetic induction

Free-Boundary Seepage from Asymmetric Soil Channels

We present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civitá's function ω. For different values of the Taylor coefficients of ω, we calculate numerically the contour of the channel, the phreatic lines, the seepage loss, the velocity field, the stream lines, and the equipotential lines. Examples are given for various symmetric or asymmetric channels, with smooth contours or with angular points

THE PROBLEM OF INCOMPRESSIBLE JETS WITH CURVILINEAR WALLS

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. Theproblem is reduced to the study of a system of nonlinear equations. Using Leray-Schauder's fixedpoint theorem we prove that the system of functional equations has at least one solution. Then wepresent a semi-inverse method which gives us the possibility to calculate numerically the unknownfree lines for symmetric jets whose walls consist of semi-infinite straight lines and arcs of circle andfor non-symmetric jets whose walls consist of semi-infinite straight lines

Numerical Calculation of the Output Power of a MHD Generator

Using Lazăr Dragoş’s analytic solution for the electric potential we perform some numerical calculations in order to find the characteristics of a Faraday magnetohydrodymamics (MHD) power generator (total power, useful power and Joule dissipation power)