The energy equation of the temperature boundary layer taking into account the heat transfer of volumetric flows

Methods for solving problems of improving the temperature characteristics of the units of turbopump units include analytical studies of gas flows in ducts with variable geometry. The distribution of gas flows with a convective component lends itself to theoretical calculations using an affine-like model and allows a deeper study of the thermodynamic characteristics of gas flows. In the course of the work, the integral dependence of the energy equation of the peripheral flows of the gas flow on the magnitude and geometry of the curvature of the cavities of the mains was determined. The problem of determining the thickness of energy loss is solved. Equations that allow determining the local heat transfer coefficient by the Stanton criterion for various flow laws for the power-law velocity distribution in the boundary layer according to the affine-like model of the temperature boundary layer, are expressed. The deviation of the results obtained from the dependence of the model with a convective component and with affinity-like profiles do not have statistically significant differences. Comparison of the obtained results of the study with the results of other authors proves the viability of the model in its use for design calculations.