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The possibility of the description of the heat transfer processes in the developed turbulent boundary layer on the flat plate at zero angle attack with zero longitudinal pressure gradient in incompressible fluid is considered as a consequence of the waveguide theory of turbulent boundary layer. It is shown that the logarithmic distribution of temperature along normal coordinates arises in a natural way. It is pointed out the possibility of the intensification of the heat transfer due to generation of own modes of the temperature pulsations. The problem of heat transfer in a boundary layer on a plate flow round an incompressible fluid using the collocation method with Chebyshev polynomial is considered. The dependence of the eigen frequency of the least damped mode on the wave number is obtained. The amplitude of the exicted mode obeys the direct resonance equation if external excitation is applied to the system.

Heat transfer in the boundary layer in an incompressible fluid in terms of waveguide turbulence model