Application of Galkin’s formulas to study the effect of sign reversal of the lift coefficient of axisymmetric bodies

For a body of rotation with a power-law generatrix, the effect of changing the sign of the lift force was studied, in which the lift force becomes negative for the range of angles of attack [0, п/2], with body elongations less than a certain critical one. This effect manifests itself both for free molecular flow and in the case of high-speed gas flows at any Knudsen number. To study the effect, a method for calculating aerodynamic forces is used based on the locality hypothesis using quadrature formulas for axisymmetric bodies. The critical elongation of a power-law body of revolution is calculated as a function of the degree of generatrix in a wide range of Reynolds numbers and for various temperature factors. The results are compared with the results of numerical summation over triangulations of bodies. The results obtained in this work are of great importance for the creation of aircraft in the aerospace industry.