Analytical and numerical methods for Zhukovsky airfoils aerodynamics coefficients

The two-dimensional problem of a viscous laminar flow around Zhukovsky airfoils at an angle of attack is considered. Based on the approach of local similarity, which was proposed by Kochin and Loytsyansky for the equations of laminar boundary layer, we have found the shear stresses at the aifoil, and the coordinates of the separation points. Assuming the values of the velocities at the separation points to be equal, we find the value of the circulation. A complete solution to the problem of the velocity and pressure field outside the boundary layer is also constructed. The theoretical results are compared with the available experimental data and numerical simulations of the Navier-Stokes equations.