AN APPROXIMATE METHOD FOR CALCULATING THE PARAMETERS OF A DETACHED BOW WAVE

The paper presents a simplified approximate method for determining the distance between a bow wave front and the nose of the body in supersonic flow, also the additional wave drag due to the formation of the bow wave. This method is a variation of Vinogradov's method and makes it possible to introduce a series of universal relations between the distance from the sonic point to the origin of the bow wave along the x-axis and the ordinate of the sonic point, which substantially simplify calculations and exclude the use of successive approximations. Using the ordinate of the sonic point as a characteristic dimension, all the parameters of the bow shock wave are determined irrespective of the body shape. This technique is shown to be applicable to supersonic axisymmetric and one-dimensional flows over blunted bodies at zero angle of attack when the bow wave is approximated by the equation of hyperbola and under certain simplifying assumptions. The results show good agreement with experimental data and also with data obtained from precise calculations by Belotserkovsky's method. (Author) Unedited rough draft trans. of Izvestiya Vysshikh Uchebnykh Zavedenii. Aviatsionnaya Tekhnika (USSR) n4 p81-9 1966.