DEPENDENCE OF THE PROFILE AERODYNAMIC CHARACTERISTICS ON THE SURFACE HEATING AT SUBSONIC VELOCITY OF FLOWING AROUND

Actuality of task on perfection of modern air transport is shown. The brief review of some works sanctified to theoretical, experimental and numeral researches of heat exchange on aerodynamic descriptions of wing profile at his flowing around is conducted. The mathematical model of the conjugated task about hydrodynamics and heat exchange transfer taking into account k-e models of turbulence is brought. The two-dimensional simulation of the subsonic flowing around of NACA-23012 profile by viscous incompressible liquid by the finite elements method with the use of standard k-e turbulence models in the isothermal raising, and also at heating (cooling) bottom (top) profile surfaces is executed. As a result of numeral simulation graphic dependences of lift coefficient on the Reynolds numbers in the range of Re = 104 ÷ 107 for the cases of the isothermal flowing around, and also at the successive heating top and bottom surfaces corresponding to the difference of temperatures 100 К are got. For Re = 104 ÷ 105 curves of aerodynamic coefficients at the simultaneous heating of top and cooling bottom surfaces of profile in relation to the temperature of the stream «at infinity» for the difference of surfaces temperatures lying in the range ΔТ = 0 ÷ 100 К are brought. Influence of increase of profile lift coefficient on the brought dependence ΔСу = ΔСу(ΔТ) at Re = 104; 105 is rated. The optimal thermal mode on a criterion "minimum drag - maximal lift" – simultaneous heating of bottom profile surface and cooling of his topside is recommended