It is shown that generalized similarity laws which interrelate the aerodynamic characteristics (lift and drag coefficients) of a body can be established for the general case of nonaffine-similar bodies to which conditions of the localizability law apply, i.e. when the momentum stream, at the body surface depends on local properties of the latter (Newtonian hypersonic gas flow, ratified gas flow, effect of light, etc.). Methods are derived for the construction of complementary bodies and examples of application of the proposed similarity laws are given. These laws are well known and widely applied in practical problems of flow of perfect gas around bodies at various velocities. They make it possible to determine from known aerodynamic characteristics of a given body its characteristics at various Mach numbers and, in some cases, to determine the lift and drag coefficients of affine-similar bodies [1, 2]. Various theories, in the main based on assumptions that the momentum stream at the body surface primarily depends on the local properties of the latter and on the local angle between the normal to the surface and the direction of flight velocity (the so-called “localizability” law), are successfully used in many areas of flight aerodynamics and dynamics. Specific universal relationships between aerodynamic forces and moments are inherent to flows in conditions of the localizability law [3]. It is shown that conditions of the localizability law make it possible to establish generalized similarity laws which interrelate aerodynamic characteristics of bodies, including nonaffine-similar bodies. A particular case of these laws for Newtonian hypersonic gas flow was considered in [4] on a number of additional assumptions.
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