VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University88010.18287/2541-7533-2010-0-1(21)-174-184UnknownObtaining the analytical solution of the heat boundary layer equation based on introducing additional boundary conditions11sadohina@ssau.ru11sadohina@ssau.ruSamara State Aerospace University180320109117418418062014Copyright © 2015, VESTNIK of the Samara State Aerospace University2015<p>A method of obtaining an approximate analytical solution of the initial differential equation (Polgauzen equation) has been developed using a mathematical model of the heat boundary layer presented in the form of Kruzhilin integral equation on the basis of introducing additional boundary conditions. The method developed makes it possible to obtain solutions with the specified degree of accuracy. Criterial dependence for defining the convective heat exchange coefficient at the fluid-wall boundary has been refined, the formulae for defining the heat boundary layer have been revised. Isotherm distribution within the heat boundary layer has been analysed, the velocity of isotherm motion along the transverse coordinate depending on the value of the longitudinal variable has been investigated.</p>Heat boundary layertemperature perturbation frontadditional boundary conditionsintegral method of heat balanceisothermisotherm motion velocitiesТепловой пограничный слойфронт температурного возмущениядополнительные граничные условияинтегральный метод теплового балансаизотермыскорости движения изотерм