This paper presents the results of experimental investigation on the properties of a turbulent boundary layer for a flow of heated air in axisymmetrical diffuser and confuser channels having cooled walls. The experimental set-up made it possible to determine the influence of longitudinal pressure gradients and cooling intensity upon the properties of dynamic and heat boundary layers. The treatment and generalization of the experimental data were made in a parametric form. Dependences. of form parameters, characterizing the form of the velocity and temperature profile, but also determining the law of friction and heat transfer from the longitudinal pressure gradient were found. These dependences from the longitudinal pressure gradient were found. These dependences are given in a form of design equations. The extensive experimental material obtained made it possible to develop methods of calculation of a turbulent layer for gas flow with both longitudinal pressure gradient and heat transfer, which makes it possible to determine thicknesses of impulse and energy loss; thicknesses of dynamic and heat displacement; and the tangential stress and specific heat flow on a wall. Moreover, the paper presents the results of an experimental investigation on the distribution of the tangential stress and specific heat flow as well as that of turbulent transfer coefficients of impulses and heat by a section of the turbulent boundary layer at the gradient flow.