ANALYTICAL SOLUTION OF THE INTEGRAL EQUATION OF THE OSCILLATIONS OF THIN PROFILES IN A CASCADE,
NAVAL SCIENTIFIC AND TECHNICAL INFORMATION CENTRE LONDON (ENGLAND)
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In the authors previous paper The problem of determining unstable forces in a cascade of airfoils, Inzh, Zh., 1, 5, 1965, general expressions for the lift force, momentum, suction force - acting on the oscillating profiles airfoil blades in cascade - were obtained in the form of four addends. Two of these addends are determined by values of tangential components of velocity uxi - which is an unknown function - in wakes of the airfoils profiles in cascade. For calculation of function uxi, the Volterra integral equation was derived. In the present work, an analytical solution of this integral equation and the unknown tangential component of velocity uxi are given.
- Numerical Mathematics
- Fluid Mechanics